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Hossain SMC, Zakaria JB, Ferdows M, Bangalee MZI, Alam MS, Zhao G. Correction to: Computer simulation‑based nanothermal field and tissue damage analysis for cardiac tumor ablation. Med Biol Eng Comput 2024; 62:1569. [PMID: 38379035 DOI: 10.1007/s11517-024-03040-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/22/2024]
Affiliation(s)
- S M C Hossain
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh.
- Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, 230027, China.
| | - J B Zakaria
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M Ferdows
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M Z I Bangalee
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M S Alam
- Department of Mathematics, Jagannath University, Dhaka, 1100, Bangladesh
| | - G Zhao
- Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, 230027, China.
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Hossain SMC, Zakaria JB, Ferdows M, Bangalee MZI, Alam MS, Zhao G. Computer simulation-based nanothermal field and tissue damage analysis for cardiac tumor ablation. Med Biol Eng Comput 2024; 62:1549-1567. [PMID: 38308669 DOI: 10.1007/s11517-024-03017-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2023] [Accepted: 01/05/2024] [Indexed: 02/05/2024]
Abstract
Radiofrequency ablation is a nominally invasive technique to eradicate cancerous or non-cancerous cells by heating. However, it is still hampered to acquire a successful cell destruction process due to inappropriate RF intensities that will not entirely obliterate tumorous tissues, causing in treatment failure. In this study, we are acquainted with a nanoassisted RF ablation procedure of cardiac tumor to provide better outcomes for long-term survival rate without any recurrences. A three-dimensional thermo-electric energy model is employed to investigate nanothermal field and ablation efficiency into the left atrium tumor. The cell death model is adopted to quantify the degree of tissue injury while injecting the Fe3O4 nanoparticles concentrations up to 20% into the target tissue. The results reveal that when nanothermal field extents as a function of tissue depth (10 mm) from the electrode tip, the increasing thermal rates were approximately 0.54362%, 3.17039%, and 7.27397% for the particle concentration levels of 7%, 10%, and 15% compared with no-particle case. In the 7% Fe3O4 nanoparticles, 100% fractional damage index is achieved after ablation time of 18 s whereas tissue annihilation approach proceeds longer to complete for no-particle case. The outcomes indicate that injecting nanoparticles may lessen ablation time in surgeries and prevent damage to adjacent healthy tissue.
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Affiliation(s)
- S M C Hossain
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh.
- Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, 230027, China.
| | - J B Zakaria
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M Ferdows
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M Z I Bangalee
- Department of Applied Mathematics, University of Dhaka, Dhaka, 1000, Bangladesh
| | - M S Alam
- Department of Mathematics, Jagannath University, Dhaka, 1100, Bangladesh
| | - G Zhao
- Department of Electronic Engineering and Information Science, University of Science and Technology of China, Hefei, 230027, China.
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Alam J, Murtaza G, Tzirtzilakis EE, Sun S, Ferdows M. Flow and Heat Transfer of CoFe 2O 4-Blood Due to a Rotating Stretchable Cylinder under the Influence of a Magnetic Field. Bioengineering (Basel) 2024; 11:317. [PMID: 38671738 PMCID: PMC11047691 DOI: 10.3390/bioengineering11040317] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/11/2023] [Revised: 12/14/2023] [Accepted: 12/18/2023] [Indexed: 04/28/2024] Open
Abstract
The flow and heat transfer of a steady, viscous biomagnetic fluid containing magnetic particles caused by the swirling and stretching motion of a three-dimensional cylinder has been investigated numerically in this study. Because fluid and particle rotation are different, a magnetic field is applied in both radial and tangential directions to counteract the effects of rotational viscosity in the flow domain. Partial differential equations are used to represent the governing three-dimensional modeled equations. With the aid of customary similarity transformations, this system of partial differential equations is transformed into a set of ordinary differential equations. They are then numerically resolved utilizing a common finite differences technique that includes iterative processing and the manipulation of tridiagonal matrices. Graphs are used to depict the physical effects of imperative parameters on the swirling velocity, temperature distributions, skin friction coefficient, and the rate of heat transfer. For higher values of the ferromagnetic interaction parameter, it is discovered that the axial velocity increases, whereas temperature and tangential velocity drop. With rising levels of the ferromagnetic interaction parameter, the size of the axial skin friction coefficient and the rate of heat transfer are both accelerated. In some limited circumstances, a comparison with previously published work is also handled and found to be acceptably accurate.
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Affiliation(s)
- Jahangir Alam
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh;
| | - Ghulam Murtaza
- Department of Mathematics, Comilla University, Cumilla 3506, Bangladesh;
| | - Efstratios E. Tzirtzilakis
- Fluid Mechanics and Turbomachinery Laboratory, Department of Mechanical Engineering, University of the Peloponnese, 22100 Tripoli, Greece;
| | - Shuyu Sun
- Physical and Engineering Division, King Abdullah University of Science and Technology, Thuwai 23955-6900, Saudi Arabia;
| | - Mohammad Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka 1000, Bangladesh;
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Uddin MJ, Bangalee M, Ferdows M. Numerical computation of pulsatile hemodynamics and diagnostic concern of coronary bifurcated artery flow for Newtonian and non-Newtonian fluid. Heliyon 2023; 9:e17533. [PMID: 37456052 PMCID: PMC10344714 DOI: 10.1016/j.heliyon.2023.e17533] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2023] [Revised: 05/31/2023] [Accepted: 06/20/2023] [Indexed: 07/18/2023] Open
Abstract
Atherosclerotic with the high occurrence of plaque formation due to stenosis has attracted wide attention among researchers. The left coronary artery has been studied in two-dimensional and in three-dimensional (3D) bifurcation as the models of blood flow through Newtonian and non-Newtonian fluids to better understand the physical mechanism. The computational Fluid Dynamics (CFD) technique is incorporated in COMSOL Multiphysics and then it is justified by satisfactory validation. It is found that the Newtonian model shows larger recirculation zones than non-Newtonian does. The present study also focuses on the evaluations of the lesion of diagnostic and the coefficient of pressure drop assessments on the basis of the diagnostic parameter's critical values affected by the rheological model. Nevertheless, the leading concentration of the subsisting investigation works is confined to the change of importance factor (IFc) affected by arterial blockage. But the IFc of non-Newtonian fluid for 3D left coronary artery bifurcation model decreases with increasing bifurcation angle and the time-averaged inlet pressure is the least for smaller bifurcation angles. The current research further concentrates that the flow separation length reduces with developing bifurcation angle in bifurcated geometry. It is significant to mention that non-Newtonian blood flow model incorporating hemodynamic and diagnostic parameters has great impacts on instantaneous flow systems.
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Affiliation(s)
- Md. Jashim Uddin
- Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
- Department of Applied Mathematics, Noakhali Science and Technology University, Noakhali-3814, Bangladesh
| | - M.Z.I. Bangalee
- Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
| | - M. Ferdows
- Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
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Ferdows M, Hoque KE, Bangalee MZI, Xenos MA. Wall shear stress indicators influence the regular hemodynamic conditions in coronary main arterial diseases: cardiovascular abnormalities. Comput Methods Biomech Biomed Engin 2023; 26:235-248. [PMID: 35587791 DOI: 10.1080/10255842.2022.2054660] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/25/2023]
Abstract
Computational hemodynamic (CH) characteristics play a central role in the onset and expansion of atherosclerotic plaques in the coronary main arteries. This study has explored the effects of hemodynamic properties especially coronary arterial wall tangential stresses on various healthy and diseased patient-based coronary artery models based on coronary computed tomography angiography (CCTA) imaging. The key components of the work are the CCTA image acquisition, accurate three-dimensional (3 D) model segmentation, reconstruction, appropriate grid generation, CH simulations, and analysis of the results by using open-source techniques. The CH simulation results have produced hemodynamic variables, including velocity magnitude (VM), mean arterial pressure difference, wall shear stress (WSS), time-averaged WSS (TAWSS), oscillatory shear index (OSI), relative residence time (RRT), and finally, computational fractional flow reserve (cFFR), that allow the pathophysiological conditions in patient-based coronary models. The VM, mean pressure difference, and WSS indices have yielded consistent simulation results for predicting the severity conditions of coronary diseases. We have compared our cFFR results with the published results and observed that the WSS indices were a good alternative approach for measuring the severity of coronary lesions. The CH results allow a medical expert to estimate the severity of a lumen area and stenosis physiological blood flow conditions in a non-invasive way.
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Affiliation(s)
- M Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - K E Hoque
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - M Z I Bangalee
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - M A Xenos
- Department of Mathematics, Section of Applied and Computational Mathematics, University of Ioannina, Ioannina, Greece
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Ferdows M, Alshuraiaan B, Nima NI. Effects of non-Darcy mixed convection over a horizontal cone with different convective boundary conditions incorporating gyrotactic microorganisms on dispersion. Sci Rep 2022; 12:16581. [PMID: 36195709 PMCID: PMC9532406 DOI: 10.1038/s41598-022-18549-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/15/2021] [Accepted: 08/16/2022] [Indexed: 11/30/2022] Open
Abstract
This paper investigates the influence of dispersion impact on mixed convection flow over a horizontal cone within a non-Darcy porous medium. Multiple convective boundary conditions are applied to address the heat, mass and motile microorganism transfer phenomena. This paper incorporates the dispersion effect for gyrotactic microorganisms due to biological and environmental applications. By imposing appropriate similarity transformations, the nonlinear partial differential equations governing flow, temperature, concentration, and microbe fields are reduced to a system of ordinary differential equations & then solved using the MATLAB BVP4C function. The computation of grid independence test is analyzed for different flow profiles to show the precision of the points. In a few instances, our present numerical data is compared with previously published works, leading to excellent agreement. The non-Darcy effect, as well as mixed convection values from 0.1 to 0.9 and buoyancy parameters from 0.2 to 0.8, all significantly affects the velocity profile. The reduction in the microorganism profile is brought on by the increase in the bioconvection Lewis parameter and bio convection peclet number between 0.3 and 1. In the absence of dispersion, the variation of Biot numbers between 0.5 and 2, favor heat, mass, and motile microorganism transfer the most in the range of mixed convection parameter 0.5 to pure forced convection 1. Thermal, solutal and microorganism dispersion coefficients a, b, c that lie between \documentclass[12pt]{minimal}
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\begin{document}$$\frac{1}{3}$$\end{document}13 and higher values of modified peclet number ranges from 2 to 10 cause increased dispersion effects which lower flow transfer rates mostly in forced convection regime.
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Affiliation(s)
- M Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, 100, Bangladesh.
| | - Bader Alshuraiaan
- Department of Mechanical Engineering, Kuwait University, 13060, Safat, Kuwait.
| | - Nayema Islam Nima
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, 100, Bangladesh.,Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka, 1230, Bangladesh
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Jumana SA, Ferdows M, Tzirtzilakis E. Bio-magnetic flow of heat transfer over moving horizontal plate by the presence of variable viscosity and temperature. J MECH MED BIOL 2022. [DOI: 10.1142/s0219519422500634] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Alsenafi A, Ferdows M. Dual solution for double-diffusive mixed convection opposing flow through a vertical cylinder saturated in a Darcy porous media containing gyrotactic microorganisms. Sci Rep 2021; 11:19918. [PMID: 34620939 PMCID: PMC8497509 DOI: 10.1038/s41598-021-99277-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2021] [Accepted: 09/23/2021] [Indexed: 11/28/2022] Open
Abstract
The steady mixed convection flow towards an isothermal permeable vertical cylinder nested in a fluid-saturated porous medium is studied. The Darcy model is applied to observe bioconvection through porous media. The suspension of gyrotactic microorganisms is considered for various applications in bioconvection. Appropriate similarity variables are opted to attain the dimensionless form of governing equations. The resulting momentum, energy, concentration, and motile microorganism density equations are then solved numerically. The resulting dual solutions are graphically visualized and physically analyzed. The results indicate that depending on the systems' parameters, dual solutions exist in opposing flow beyond a critical point where both solutions are connected. Our results were also compared with existing literature.
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Affiliation(s)
| | - M Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
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Alsenafi A, Ferdows M. Effects of thermal slip and chemical reaction on free convective nanofluid from a horizontal plate embedded in a porous media. Math Biosci Eng 2021; 18:4817-4833. [PMID: 34198467 DOI: 10.3934/mbe.2021245] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
We consider a two-dimensional, uniform, incompressible and free convection flow of a nano-fluid along a plane. The plate is located facing upward about the porous medium. Throughout the investigation, thermal slip, chemical reaction, heat emission/absorption is considered. In the modeling of nano-fluid we have considered the dynamic effect along with the Brownian and thermophoresis. In obtaining the governing equations, including the boundary conditions, an appropriate scaling is applied. The governing momentum equations, including thermal energy and nanoparticles equations are translated into a group of nonlinear ODEs by using Lie symmetry group transformation. The transformed equations are then solved numerically using the Runge-Kutta-Fehlberg fourth-fifth order. The numerical results of velocity, temperature, and nanoparticle volume fraction profiles for varied physical parameters will be discussed and analyzed at the end. The discussion also includes the local Nusselt and the local Sherwood numbers against several of the systems' physical parameters. It is found that the velocity and temperature decrease with thermal slip and heat absorption whilst it increases by increasing heat generation and chemical reaction order. Our present results will be compared with similar existing literature results.
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Affiliation(s)
| | - M Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Bangladesh
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Alsenafi A, Bég OA, Ferdows M, Bég TA, Kadir A. Numerical study of nano-biofilm stagnation flow from a nonlinear stretching/shrinking surface with variable nanofluid and bioconvection transport properties. Sci Rep 2021; 11:9877. [PMID: 33972577 PMCID: PMC8111028 DOI: 10.1038/s41598-021-88935-9] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/21/2020] [Accepted: 03/31/2021] [Indexed: 11/15/2022] Open
Abstract
A mathematical model is developed for stagnation point flow toward a stretching or shrinking sheet of liquid nano-biofilm containing spherical nano-particles and bioconvecting gyrotactic micro-organisms. Variable transport properties of the liquid (viscosity, thermal conductivity, nano-particle species diffusivity) and micro-organisms (species diffusivity) are considered. Buongiorno's two-component nanoscale model is deployed and spherical nanoparticles in a dilute nanofluid considered. Using a similarity transformation, the nonlinear systems of partial differential equations is converted into nonlinear ordinary differential equations. These resulting equations are solved numerically using a central space finite difference method in the CodeBlocks Fortran platform. Graphical plots for the distribution of reduced skin friction coefficient, reduced Nusselt number, reduced Sherwood number and the reduced local density of the motile microorganisms as well as the velocity, temperature, nanoparticle volume fraction and the density of motile microorganisms are presented for the influence of wall velocity power-law index (m), viscosity parameter [Formula: see text], thermal conductivity parameter (c4), nano-particle mass diffusivity (c6), micro-organism species diffusivity (c8), thermophoresis parameter [Formula: see text], Brownian motion parameter [Formula: see text], Lewis number [Formula: see text], bioconvection Schmidt number [Formula: see text], bioconvection constant (σ) and bioconvection Péclet number [Formula: see text]. Validation of the solutions via comparison related to previous simpler models is included. Further verification of the general model is conducted with the Adomian decomposition method (ADM). Extensive interpretation of the physics is included. Skin friction is elevated with viscosity parameter ([Formula: see text] whereas it is suppressed with greater Lewis number and thermophoresis parameter. Temperatures are elevated with increasing thermal conductivity parameter ([Formula: see text] whereas Nusselt numbers are reduced. Nano-particle volume fraction (concentration) is enhanced with increasing nano-particle mass diffusivity parameter ([Formula: see text]) whereas it is markedly reduced with greater Lewis number (Le) and Brownian motion parameter (Nb). With increasing stretching/shrinking velocity power-law exponent ([Formula: see text] skin friction is decreased whereas Nusselt number and Sherwood number are both elevated. Motile microorganism density is boosted strongly with increasing micro-organism diffusivity parameter ([Formula: see text]) and Brownian motion parameter (Nb) but reduced considerably with greater bioconvection Schmidt number (Sc) and bioconvection Péclet number (Pe). The simulations find applications in deposition processes in nano-bio-coating manufacturing processes.
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Affiliation(s)
| | - O Anwar Bég
- Department of Mechanical/Aeronautical Engineering, Salford University, Manchester, M54WT, UK
| | - M Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh.
| | - Tasveer A Bég
- Renewable Energy and Computational Multi-Physics, Israfil House, Dickenson Rd., Manchester, M13, UK
| | - A Kadir
- Department of Mechanical/Aeronautical Engineering, Salford University, Manchester, M54WT, UK
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Jumana SA, Murtaza MG, Ferdows M, Makinde OD, Zaimi K. Dual Solutions Analysis of Melting Phenomenon with Mixed Convection in a Nanofluid Flow and Heat Transfer Past a Permeable Stretching/Shrinking Sheet. j nanofluids 2020. [DOI: 10.1166/jon.2020.1761] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
The 2-D MHD nanofluid with mixed convection above a stretching/shrinking plate has been investigated. Melting heat transfer near surface is contemplated. Consider the saline water as base fluid with containing single SWCNTs as well as MWCNTs. Suitable similarity variables are employed
to transform the governing PDEs into ODEs. These transformed equations which are coupled, and of high nonlinearity, have been solved through applying the bvp4c solver. The consequences of the relevant parameters like, the MHD parameter, mixed convection parameter, melting parameter, volume
fraction on the flow field along with the skin friction and heat transfer rate are displayed in graphical form. Results show that the thin layer thickness diminishes as magnetic parameter enhances and at the same time temperature increases with magnetic parameter. It is also demonstrated that
the melting parameter leads to a reduction in the thin layer thickness as well as dimensionless temperature. Obtain dual solutions for flow fields which delineates to identify the stable solution.
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Affiliation(s)
- Sadia Anjum Jumana
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, 1000, Bangladesh
| | - M. G. Murtaza
- Department of Mathematics, Comilla University, 3506, Bangladesh
| | - M. Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, 1000, Bangladesh
| | - O. D. Makinde
- Faculty of Military Science, Stellenbosch University, Matieland 7602, South Africa
| | - Khairy Zaimi
- Faculty of Applied and Human Sciences, Universiti Malaysia Perlis, Pauh Putra 02600, Arau, Malaysia
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Ferdows M, Murtaza G, Misra JC, Tzirtzilakis EE, Alsenafi A. Dual solutions in biomagnetic fluid flow and heat transfer over a nonlinear stretching/shrinking sheet: Application of lie group transformation method. Math Biosci Eng 2020; 17:4852-4874. [PMID: 33120531 DOI: 10.3934/mbe.2020264] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
Of concern in the paper is a theoretical investigation of boundary layer flow of a biomagnetic fluid and heat transfer on a stretching/shrinking sheet in the presence of a magnetic dipole. The problem has been treated mathematically by using Lie group transformation. The governing nonlinear partial differential equations are thereby reduced to a system of coupled nonlinear ordinary differential equations subject to associated boundary conditions. The resulting equations subject to boundary conditions are solved numerically by using bvp4c function available in MATLAB software. The plots for variations of velocity, temperature, skin friction and heat transfer rate have been drawn and adequate discussion has been made. The study reveals that the problem considered admits of dual solutions in particular ranges of values of the suction parameter and nonlinear stretching/shrinking parameter. A stability analysis has also been carried out and presented in the paper. This enables one to determine which solution is stable that can be realized physically, and which is not. The results of the present study have been compared with those reported by previous investigators to ascertain the validity/reliability of the computational results.
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Affiliation(s)
- Mohammad Ferdows
- Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
| | - Ghulam Murtaza
- Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
- Department of Mathematics, Comilla University, Comilla-3506, Bangladesh
| | - Jagadis C Misra
- Central for Healthcare Science and Technology, Indian Institute of Engineering Science and Technology, Shibpur, Howrah-711103, India
| | | | - Abdulaziz Alsenafi
- Department of Mathematics, kuwait University P.O. Box 5969, Safat 13060, Kuwait
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Nima NI, Salawu SO, Ferdows M, Shamshuddin MD, Alsenafi A, Nakayama A. Melting effect on non-Newtonian fluid flow in gyrotactic microorganism saturated non-darcy porous media with variable fluid properties. Appl Nanosci 2020. [DOI: 10.1007/s13204-020-01491-y] [Citation(s) in RCA: 22] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Nima NI, Ferdows M, Anwar Bég O, Kuharat S, Alzahrani F. Biomathematical model for gyrotactic free-forced bioconvection with oxygen diffusion in near-wall transport within a porous medium fuel cell. INT J BIOMATH 2020. [DOI: 10.1142/s1793524520500266] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Bioconvection has shown significant promise for environmentally friendly, sustainable “green” fuel cell technologies. The improved design of such systems requires continuous refinements in biomathematical modeling in conjunction with laboratory and field testing. Motivated by exploring deeper the near-wall transport phenomena involved in bio-inspired fuel cells, in the present paper, we examine analytically and numerically the combined free-forced convective steady boundary layer flow from a solid vertical flat plate embedded in a Darcian porous medium containing gyrotactic microorganisms. Gyrotaxis is one of the many taxes exhibited in biological microscale transport, and other examples include magneto-taxis, photo-taxis, chemotaxis and geo-taxis (reflecting the response of microorganisms to magnetic field, light, chemical concentration or gravity, respectively). The bioconvection fuel cell also contains diffusing oxygen species which mimics the cathodic behavior in a proton exchange membrane (PEM) system. The vertical wall is maintained at iso-solutal (constant oxygen volume fraction and motile microorganism density) and iso-thermal conditions. Wall values of these quantities are sustained at higher values than the ambient temperature and concentration of oxygen and biological microorganism species. Similarity transformations are applied to render the governing partial differential equations for mass, momentum, energy, oxygen species and microorganism species density into a system of ordinary differential equations. The emerging eight order nonlinear coupled, ordinary differential boundary value problem features several important dimensionless control parameters, namely Lewis number (Le), buoyancy ratio parameter i.e. ratio of oxygen species buoyancy force to thermal buoyancy force (Nr), bioconvection Rayleigh number (Rb), bioconvection Lewis number (Lb), bioconvection Péclet number (Pe) and the mixed convection parameter ([Formula: see text] spanning the entire range of free and forced convection. The transformed nonlinear system of equations with boundary conditions is solved numerically by a finite difference method with central differencing, tridiagonal matrix manipulation and an iterative procedure. Computations are validated with the symbolic Maple 14.0 software. The influence of buoyancy and bioconvection parameters on the dimensionless temperature, velocity, oxygen concentration and motile microorganism density distribution, Nusselt, Sherwood and gradient of motile microorganism density are studied. The work clearly shows the benefit of utilizing biological organisms in fuel cell design and presents a logical biomathematical modeling framework for simulating such systems. In particular, the deployment of gyrotactic microorganisms is shown to stimulate improved transport characteristics in heat and momentum at the fuel cell wall.
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Affiliation(s)
- Nayema Islam Nima
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-100, Bangladesh
| | - M. Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-100, Bangladesh
| | - O. Anwar Bég
- Multi-Physical Engineering Sciences Group, Aeronautical/Mechanical Engineering, School of Science, Engineering and Environment (SEE), University of Salford, Manchester, UK
| | - S. Kuharat
- Multi-Physical Engineering Sciences Group, Aeronautical/Mechanical Engineering, School of Science, Engineering and Environment (SEE), University of Salford, Manchester, UK
| | - Faris Alzahrani
- Multi-Physical Engineering Sciences Group, Aeronautical/Mechanical Engineering, School of Science, Engineering and Environment (SEE), University of Salford, Manchester, UK
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Hoque KE, Ferdows M, Sawall S, Tzirtzilakis EE. The effect of hemodynamic parameters in patient-based coronary artery models with serial stenoses: normal and hypertension cases. Comput Methods Biomech Biomed Engin 2020; 23:467-475. [DOI: 10.1080/10255842.2020.1737028] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2023]
Affiliation(s)
- K. E. Hoque
- Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
- Department of Arts and Sciences, Faculty of Engineering, Ahsanullah University of Science and Technology, Dhaka, Bangladesh
| | - M. Ferdows
- Research group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - S. Sawall
- X-Ray Imaging and Computed Tomography, German Cancer Research Center, Heidelberg, Germany
| | - E. E. Tzirtzilakis
- Fluid Dynamics & Turbo-machinery Laboratory, Department of Mechanical Engineering, University of the Peloponnese, Patras, Greece
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Murtaza MG, Ferdows M, Misra JC, Tzirtzilakis EE. Three-dimensional biomagnetic Maxwell fluid flow over a stretching surface in presence of heat source/sink. INT J BIOMATH 2019. [DOI: 10.1142/s1793524519500360] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The present paper deals with the study of three-dimensional boundary layer flow of biomagnetic Maxwell fluid over a plane horizontal surface stretched linearly along two mutually perpendicular directions. Basic principles of magnetohydrodynamics (MHD) and ferro-hydrodynamics (FHD) have been employed. The effect of heat generation/absorption has been taken into consideration. The study is theoretical and is conducted by using a combination of approximate and numerical techniques. By using the method of similarity transformation, the governing nonlinear partial differential equations are converted into a set of coupled ordinary differential equations. In the sequel, a suitable numerical method has been developed to solve the coupled differential equations. The accuracy of the numerical method has been checked by comparing the numerical results with those of an earlier study reported in available literatures. Effects of various parameters involved in the study, viz. the magnetohydrodynamic and ferromagnetic parameters, Deborah number, stretching ratio and heat generation on the fluid flow profiles are investigated and the results have been presented graphically. Variations of the skin friction, heat transfer rate and relative wall pressure with change in hydrodynamic and ferromagnetic parameters have also been illustrated. It is found that due to the influence of the Kelvin force, the velocity component in [Formula: see text]-direction is greater than the corresponding one in the hydrodynamic case, but the opposite is true for the velocity component in the [Formula: see text]-direction. We also found that the temperature of the fluid for hydrodynamic flow is greater than that for MHD or FHD flow. It is even greater for BFD flows. The numerical results of the study reveal that the characteristics of blood flow are significantly affected by the presence of a magnetic field.
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Affiliation(s)
- M. G. Murtaza
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
| | - M. Ferdows
- Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
| | - J. C. Misra
- Centre for Theoretical Studies, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
| | - E. E. Tzirtzilakis
- Fluid Dynamics & Turbomachinery Laboratory, Department of Mechanical Engineering Technological, Educational Institute of Western Greece, 1 M. Aleksandrou Str, Koukouli, 26334 Patras, Greece
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Bég OA, Kuharat S, Ferdows M, Das M, Kadir A, Shamshuddin MD. Modeling magnetic nanopolymer flow with induction and nanoparticle solid volume fraction effects: Solar magnetic nanopolymer fabrication simulation. Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems 2019. [DOI: 10.1177/2397791419838714] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
A mathematical model is presented for the nonlinear steady, forced convection, hydromagnetic flow of electro-conductive magnetic nanopolymer with magnetic induction effects included. The transformed two-parameter, non-dimensional governing partial differential equations for mass, momentum, magnetic induction and heat conservation are solved with the local non-similarity method subject to appropriate boundary conditions. Keller’s implicit finite difference “box” method is used to validate solutions. Computations for four different nanoparticles and three different base fluids are included. Silver nanoparticles in combination with various base fluids enhance temperatures and induced magnetic field and accelerate the flow. An elevation in magnetic body force number decelerates the flow, whereas an increase in magnetic Prandtl number elevates the magnetic induction. Furthermore, increasing nanoparticle solid volume fraction is found to substantially boost temperatures. Applications of the study arise in advanced magnetic solar nanomaterials (fluids) processing technologies.
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Affiliation(s)
- O Anwar Bég
- Department of Mechanical and Aeronautical Engineering, Salford University, Manchester, UK
| | - S Kuharat
- Department of Mechanical and Aeronautical Engineering, Salford University, Manchester, UK
| | - M Ferdows
- College of Engineering and Science, Louisiana Tech University, Ruston, LA, USA
| | - M Das
- Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - A Kadir
- Department of Mechanical and Aeronautical Engineering, Salford University, Manchester, UK
| | - MD Shamshuddin
- Department of Mathematics, Vaagdevi College of Engineering, Warangal, India
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Talha MA, Gani MO, Ferdows M. Numerical solutions for the effects of unsteadiness and power-law parameter on non-Newtonian magnetohydrodynamics of nanofluid past a stretching sheet with gyrotactic microorganisms. AIP Conference Proceedings 2018. [DOI: 10.1063/1.5080033] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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Bég O, Ferdows M, Bég E, Ahmed T, Wahiduzzaman M, M. Alam M. Numerical investigation of radiative optically-dense transient magnetized reactive transport phenomena with cross diffusion, dissipation and wall mass flux effects. J Taiwan Inst Chem Eng 2016. [DOI: 10.1016/j.jtice.2016.06.003] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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Uddin MJ, Ferdows M, Bég OA. Group analysis and numerical computation of magneto-convective non-Newtonian nanofluid slip flow from a permeable stretching sheet. Appl Nanosci 2013. [DOI: 10.1007/s13204-013-0274-1] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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Awual MR, Khaleque MA, Ferdows M, Chowdhury AS, Yaita T. Rapid recognition and recovery of gold(III) with functional ligand immobilized novel mesoporous adsorbent. Microchem J 2013. [DOI: 10.1016/j.microc.2013.07.010] [Citation(s) in RCA: 107] [Impact Index Per Article: 9.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Hoque MM, Alam MM, Ferdows M, Bég OA. Numerical simulation of Dean number and curvature effects on magneto-biofluid flow through a curved conduit. Proc Inst Mech Eng H 2013; 227:1155-70. [DOI: 10.1177/0954411913493844] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
A numerical study is performed to investigate the magnetohydrodynamic viscous steady biofluid flow through a curved pipe with circular cross section under various conditions. A spectral method is applied as the principal tool for the numerical simulation with Fourier series, Chebyshev polynomials, collocation methods and an iteration method as secondary tools. The combined effects of Dean number, Dn, magnetic parameter, Mg, and tube curvature, δ, are studied. The flow patterns have been shown graphically for large Dean numbers as well as magnetic parameter and a wide range of curvatures, 0.01 ≤ δ≤ 0.2. Two-vortex solutions have been found. Axial velocity has been found to increase with an increase of Dean number, whereas it is suppressed with greater curvature and magnetic parameters. For high magnetic parameter and Dean number and low curvature, almost all the fluid vortex strengths are weak. The study is relevant to magnetohydrodynamic blood flow in the cardiovascular system.
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Affiliation(s)
| | - Mohammad M Alam
- Mathematics Discipline, Khulna University, Khulna, Bangladesh
| | - Mohammad Ferdows
- Department of Mathematics, University of Dhaka, Dhaka, Bangladesh
| | - Osman A Bég
- Gort Engovation (Biomechanics) Research, Bradford, UK
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Rashidi MM, Rahimzadeh N, Ferdows M, Uddin MJ, Bég OA. GROUP THEORY AND DIFFERENTIAL TRANSFORM ANALYSIS OF MIXED CONVECTIVE HEAT AND MASS TRANSFER FROM A HORIZONTAL SURFACE WITH CHEMICAL REACTION EFFECTS. CHEM ENG COMMUN 2012. [DOI: 10.1080/00986445.2011.636850] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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Sattar MA, Ferdows M. A NEW CLASS OF SIMILARITY SOLUTIONS OF AN UNSTEADY ELECTRICALLY CONDUCTING FREE-FORCED CONVECTIVE FLOW IN A VERTICAL POROUS SURFACE WITH DUFOUR AND SORET EFFECTS. CHEM ENG COMMUN 2011. [DOI: 10.1080/00986445.2011.552045] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Abstract
The present study was designed to determine whether rat glomerular mesangial cells possess Cl- -dependent intracellular pH (pHi) regulatory processes. Rat glomerular mesangial cells were grown to confluence on glass coverslips. Intracellular pH (pHi) was measured with BCECF. Steady state pHi in HCO3- containing solutions was 7.08 +/- 0.03 (N = 13). When extracellular Cl- was acutely removed, pHi increased at a rate of 0.57 +/- 0.03 pH/min units (N = 8), P less than 0.001. DIDS (0.5 mM) significantly decreased the rate of increase in pHi to 0.34 +/- 0.04 pH/min, P less than 0.01. Na+ removal and amiloride (1 mM) did not alter the increase in pHi induced by Cl- removal. Steady state pHi in the absence of Cl- was significantly increased above control, 7.39 +/- 0.02 (N = 7), P less than 0.001. Following the acute alkalinization of pHi by CO2 removal, pHi recovered at a rate of 0.07 +/- 0.01 pH/min (N = 9). In the absence of Cl-, the pHi recovery rate was significantly decreased to 0.01 +/- 0.008 pH/min (N = 5), P less than 0.01. DIDS (0.5 mM) significantly decreased the rate of pHi recovery to 0.02 +/- 0.01 pH/min (N = 5), P less than 0.01. Na+ removal and amiloride (1 mM) had no effect on the rate of pHi recovery following acute alkaline loading.(ABSTRACT TRUNCATED AT 250 WORDS)
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Affiliation(s)
- M Ferdows
- Department of Medicine, UCLA School of Medicine
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Abstract
Since 12-O-tetradecanoyl-phorbol-13-acetate (TPA) reproduced some of the effects of TSH on phosphorylation of polypeptides in the thyroid, its effects on several thyroid metabolic variables were investigated. Like TSH, TPA stimulated glucose oxidation, iodide organification, and 32P incorporation into phospholipids in thyroid slices. However, in contrast to TSH, it did not augment cAMP accumulation. An inactive phorbol ester, 4 alpha-phorbol, did not reproduce any of the effects of TPA. An initial incubation of thyroid slices with TPA decreased the stimulation of cAMP, glucose oxidation, and colloid droplet formation induced by TSH. However, an initial incubation with TPA did not modify the subsequent stimulation of glucose oxidation induced by (Bu)2 cAMP. TPA potentiated the ability of TSH to desensitize the adenylate cyclase system. Although both TPA and TSH increased 32P incorporation into phospholipids, the patterns were different when individual phospholipids were examined. These results indicate another regulatory mechanism for thyroid cell functions independent of cAMP.
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