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Khan NA, Sulaiman M, Alshammari FS. Analysis of heat transmission in convective, radiative and moving rod with thermal conductivity using meta-heuristic-driven soft computing technique. STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION : JOURNAL OF THE INTERNATIONAL SOCIETY FOR STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2022; 65:317. [PMID: 36320454 PMCID: PMC9612628 DOI: 10.1007/s00158-022-03414-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 03/10/2022] [Revised: 09/18/2022] [Accepted: 09/22/2022] [Indexed: 06/16/2023]
Abstract
ABSTRACT The present study analyzes the thermal attribute of conductive, convective, and radiative moving fin with thermal conductivity and constant velocity. The basic Darcy's model is utilized to formulate the governing equation for the problem, which is further nondimensionalized using certain variables. Moreover, an effective soft computing paradigm based on the approximating ability of the feedforword artificial neural networks (FANN's) and meta-heuristic approach of global and local search optimization techniques is developed to quantify the effect of variations in significant parameters such as ambient temperature, radiation-conduction number, Peclet number, nonconstant thermal conductivity, and initial temperature parameter on the temperature gradient of the rod. The results by the proposed FANN-AOA-SQP algorithm are compared with radial basis function approximation, Runge-Kutta-Fehlberg method and machine-learning algorithms. An extensive graphical and statistical analysis based on solution curves and errors such as absolute errors, mean square error, standard deviations in Nash-Sutcliffe efficiency, mean absolute deviations, and Theil's inequality coefficient are performed to show the accuracy, ease of implementation, and robustness of the design scheme.
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Affiliation(s)
- Naveed Ahmad Khan
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200 Pakistan
| | - Muhammad Sulaiman
- Department of Mathematics, Abdul Wali Khan University, Mardan, 23200 Pakistan
| | - Fahad Sameer Alshammari
- Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942 Saudi Arabia
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Optimization of Heat Transfer Rate in a Moving Porous Fin under Radiation and Natural Convection by Response Surface Methodology: Sensitivity Analysis. CHEMICAL ENGINEERING JOURNAL ADVANCES 2022. [DOI: 10.1016/j.ceja.2022.100304] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022] Open
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Jagadeesha K, Kumar RV, Elattar S, Kumar R, Prasannakumara B, Khan MI, Malik M. A physical depiction of a semi-spherical fin unsteady heat transfer and thermal analysis of a fully wetted convective-radiative semi-spherical fin. J INDIAN CHEM SOC 2022. [DOI: 10.1016/j.jics.2022.100457] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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Alhejaili W, Varun Kumar R, El-Zahar ER, Sowmya G, Prasannakumara B, Ijaz Khan M, Yogeesha K, Qayyum S. Analytical solution for temperature equation of a fin problem with variable temperature-dependent thermal properties: Application of LSM and DTM-Pade approximant. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2022.139409] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
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Ahmed SE, Abderrahmane A, Alotaibi S, Younis O, Almasri RA, Hussam WK. Enhanced Heat Transfer for NePCM-Melting-Based Thermal Energy of Finned Heat Pipe. NANOMATERIALS 2021; 12:nano12010129. [PMID: 35010079 PMCID: PMC8746756 DOI: 10.3390/nano12010129] [Citation(s) in RCA: 15] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/07/2021] [Revised: 12/22/2021] [Accepted: 12/28/2021] [Indexed: 11/16/2022]
Abstract
Using phase change materials (PCMs) in energy storage systems provides various advantages such as energy storage at a nearly constant temperature and higher energy density. In this study, we aimed to conduct a numerical simulation for augmenting a PCM’s melting performance within multiple tubes, including branched fins. The suspension contained Al2O3/n-octadecane paraffin, and four cases were considered based on a number of heated fins. A numerical algorithm based on the finite element method (FEM) was applied to solve the dimensionless governing system. The average liquid fraction was computed over the considered flow area. The key parameters are the time parameter (100 ≤t≤600 s) and the nanoparticles’ volume fraction (0%≤φ≤8%). The major outcomes revealed that the flow structures, the irreversibility of the system, and the melting process can be controlled by increasing/decreasing number of the heated fins. Additionally, case four, in which eight heated fins were considered, produced the largest average liquid fraction values.
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Affiliation(s)
- Sameh E. Ahmed
- Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi Arabia;
- Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
| | - Aissa Abderrahmane
- Laboratoire de Physique Quantique de la Matière et Modélisation Mathématique (LPQ3M), University of Mascara, Mascara 29000, Algeria;
| | - Sorour Alotaibi
- Mechanical Engineering Department, College of Engineering and Petroleum, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
- Correspondence:
| | - Obai Younis
- Department of Mechanical Engineering, College of Engineering at Wadi Addwaser, Prince Sattam Bin Abdulaziz University, Wadi Addwaser 11991, Saudi Arabia;
- Department of Mechanical Engineering, Faculty of Engineering, University of Khartoum, Khartoum 11111, Sudan
| | - Radwan A. Almasri
- Department of Mechanical Engineering, College of Engineering, Qassim University, Buraydah 51452, Saudi Arabia;
| | - Wisam K. Hussam
- School of Engineering, Australian College of Kuwait, Safat 12000, Kuwait;
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Javid K, Hassan M, Tripathi D, Khan S, Bobescu E, Bhatti MM. Double-diffusion convective biomimetic flow of nanofluid in a complex divergent porous wavy medium under magnetic effects. J Biol Phys 2021; 47:477-498. [PMID: 34528156 PMCID: PMC8603998 DOI: 10.1007/s10867-021-09583-8] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/27/2021] [Accepted: 08/22/2021] [Indexed: 10/20/2022] Open
Abstract
We explore the physical influence of magnetic field on double-diffusive convection in complex biomimetic (peristaltic) propulsion of nanofluid through a two-dimensional divergent channel. Additionally, porosity effects along with rheological properties of the fluid are also retained in the analysis. The mathematical model is developed by equations of continuity, momentum, energy, and mass concentration. First, scaling analysis is introduced to simplify the rheological equations in the wave frame of reference and then get the final form of equations after applying the low Reynolds number and lubrication approach. The obtained equations are solved analytically by using integration method. Physical interpretation of velocity, pressure gradient, pumping phenomena, trapping phenomena, heat, and mass transfer mechanisms are discussed in detail under magnetic and porous environment. The magnitude of velocity profile is reduced by increasing Grashof parameter. The bolus circulations disappeared from trapping phenomena for larger strength of magnetic and porosity medium. The magnitude of temperature profile and mass concentration are increasing by enhancing the Brownian motion parameter. This study can be productive in manufacturing non-uniform and divergent shapes of micro-lab-chip devices for thermal engineering, industrial, and medical technologies.
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Affiliation(s)
- Khurram Javid
- Department of Mathematics, Northern University, Wattar-Nowshera, KPK, 24110, Pakistan
| | - Mohsan Hassan
- Department of Mathematics, COMSTAS University Islamabad, Lahore Campus, Lahore, 54000, Pakistan
| | - Dharmendra Tripathi
- Department of Mathematics, National Institute of Technology Uttarakhand, Srinagar, 246174, Uttarakhand, India
| | - Salahuddin Khan
- College of Engineering, King Saud University, P.O. Box 800, Riyadh, 11421, Saudi Arabia
| | - Elena Bobescu
- Department of Medical and Surgical Specialties, Faculty of Medicine, Transilvania University of Brasov, Brasov, Romania
| | - Muhammad Mubashir Bhatti
- College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, Shandong, China.
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Radiation effects on 3D rotating flow of Cu-water nanoliquid with viscous heating and prescribed heat flux using modified Buongiorno model. Sci Rep 2021; 11:20669. [PMID: 34667189 PMCID: PMC8526597 DOI: 10.1038/s41598-021-00107-x] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/03/2021] [Accepted: 10/01/2021] [Indexed: 11/09/2022] Open
Abstract
In this article, the three-dimensional (3D) flow and heat transport of viscous dissipating Cu-H2O nanoliquid over an elongated plate in a rotating frame of reference is studied by considering the modified Buongiorno model. The mechanisms of haphazard motion and thermo-migration of nanoparticles along with effective nanoliquid properties are comprised in the modified Buongiorno model (MBM). The Rosseland radiative heat flux and prescribed heat flux at the boundary are accounted. The governing nonlinear problem subjected to Prandtl’s boundary layer approximation is solved numerically. The consequence of dimensionless parameters on the velocities, temperature, and nanoparticles volume fraction profiles is analyzed via graphical representations. The temperature of the base liquid is improved significantly owing to the existence of copper nanoparticles in it. The phenomenon of rotation improves the structure of the thermal boundary layer, while, the momentum layer thickness gets reduced. The thermal layer structure gets enhanced due to the Brownian movement and thermo-migration of nanoparticles. Moreover, it is shown that temperature enhances owing to the presence of thermal radiation. In addition, it is revealed that the haphazard motion of nanoparticles decays the nanoparticle volume fraction layer thickness. Also, the skin friction coefficients found to have a similar trend for larger values of rotation parameter. Furthermore, the results of the single-phase nanoliquid model are limiting the case of this study.
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Darcy-Forchheimer couple stress hybrid nanofluids flow with variable fluid properties. Sci Rep 2021; 11:19612. [PMID: 34608189 PMCID: PMC8490378 DOI: 10.1038/s41598-021-98891-z] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Accepted: 09/03/2021] [Indexed: 11/08/2022] Open
Abstract
The current study provides a detailed analysis of steady two-dimensional incompressible and electrically conducting magnetohydrodynamic flow of a couple stress hybrid nanofluid under the influence of Darcy–Forchheimer, viscous dissipation, joule heating, heat generation, chemical reaction, and variable viscosity. The system of partial differential equations of the current model (equation of motion, energy, and concentration) is converted into a system of ordinary differential equations by adopting the suitable similarity practice. Analytically, homotopy analysis method (HAM) is employed to solve the obtained set of equations. The impact of permeability, couple-stress and magnetic parameters on axial velocity, mean critical reflux condition and mean velocity on the channel walls are discussed in details. Computational effects show that the axial mean velocity at the boundary has an inverse relation with couple stress parameter while the permeability parameter has a direct relation with the magnetic parameter and vice versa. The enhancement in the temperature distribution evaluates the pH values and electric conductivity. Therefore, the \documentclass[12pt]{minimal}
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\begin{document}$$SWCNTs\,\,{\text{and}}\,\,MWCNTs$$\end{document}SWCNTsandMWCNTs hybrid nanofluids are used in this study for medication purpose.
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Original polymer P-DSBT nano-composite with ZnO nanoparticles for gas sensor at room temperature. Polym Bull (Berl) 2021. [DOI: 10.1007/s00289-021-03872-x] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
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Elucidation of the thermophysical mechanism of hexagonal boron nitride as nanofluids additives. ADV POWDER TECHNOL 2021. [DOI: 10.1016/j.apt.2021.05.049] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
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Asifa, Kumam P, Shah Z, Watthayu W, Anwar T. Radiative MHD unsteady Casson fluid flow with heat source/sink through a vertical channel suspended in porous medium subject to generalized boundary conditions. PHYSICA SCRIPTA 2021; 96:075213. [DOI: 10.1088/1402-4896/abe14a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
Abstract
Abstract
Unsteady, incompressible flow of Casson fluid between two infinitely long upward heated walls nested in a porous medium is analyzed in this work. The mass diffusion and heat transfer phenomena are also studied in the presence of thermal radiation, magnetic field, and heat source/sink. The generalized boundary conditions in terms of continuous time-dependent functions are considered for mass, energy, and momentum fields. Fick’s law, Fourier’s law, and momentum conservation principle are adopted to formulate the mathematical equations. Analytic solution for the concentration equation is established first by adding certain unit-less quantities and then by using the Laplace method of transformation. Semi-analytic solutions are calculated by means of Stehfest’s numerical Laplace inversion algorithm for energy and velocity equations. To demonstrate the verification of those solutions, a tabular comparison is drawn. Graphical illustrations along with physical descriptions are provided to discuss the essential contribution of thermo-physical parameters in heat and mass transfer and flow of the Casson fluid. The numerical computations of Sherwood number, Nusselt number, and skin friction for various inputs of related parameters are organized in tables to investigate mass transfer rate, heat transfer rate, and shear stress respectively. It is observed that porosity of the medium and buoyancy force tend to accelerate the flow. The heat and mass transfer rates are appreciated by Prandtl and Schmidt numbers respectively. Furthermore, radiation parameter and Grashof number significantly minimize the shear stress.
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Validation of Hydraulic Mechanism during Blowout Trauma of Human Orbit Depending on the Method of Load Application. Appl Bionics Biomech 2021; 2021:8879847. [PMID: 33747122 PMCID: PMC7952190 DOI: 10.1155/2021/8879847] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/23/2020] [Revised: 02/16/2021] [Accepted: 02/21/2021] [Indexed: 11/24/2022] Open
Abstract
The more we know about mechanisms of the human orbital blowout type of trauma, the better we will be able to prevent them in the future. As long as the buckling mechanism's veracity is not in doubt, the hydraulic mechanism is not based on equally strong premises. To investigate the correctness of the hydraulic mechanism's theory, two different methods of implementation of the hydraulic load to the finite element method (FEM) model of the orbit were performed. The intraorbital hydraulic pressure was introduced as a face load applied directly to the orbit in the first variant, while in the second one the load was applied to the orbit indirectly as a set of nodal forces transferred from the external surface of the eyeball via the intraorbital tissues to the orbital walls within the contact problem. Such an approach is aimed at a better understanding of the pattern for the formation of blowout fractures during the indirect load applied to the orbital bones. The nonlinear dynamic analysis of both numerical models showed that the potential fracture was observed in the second variant only, embracing a relatively large area: both medial and lower wall of the orbit. Interestingly, the pressure generated by the intraorbital entities transferred the energy of the impact to the orbital sidewalls mainly; thus, the nature of the mechanism known as the hydraulic was far from the expected hydraulic pressure. According to the eyeball's deformation as well as the areas of the greatest Huber-Mises-Hencky (H-M-H) stress within the orbit, a new term of strut mechanism was proposed instead of the hydraulic mechanism as more realistic regarding the investigated phenomenon. The results of the current research may strongly influence the development of modern implantology as well as affect forensic medicine.
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Mabood F, Bognár G, Shafiq A. Impact of heat generation/absorption of magnetohydrodynamics Oldroyd-B fluid impinging on an inclined stretching sheet with radiation. Sci Rep 2020; 10:17688. [PMID: 33077753 PMCID: PMC7572406 DOI: 10.1038/s41598-020-74787-2] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/29/2020] [Accepted: 10/07/2020] [Indexed: 11/09/2022] Open
Abstract
In this paper, we have investigated thermally stratified MHD flow of an Oldroyd-B fluid over an inclined stretching surface in the presence of heat generation/absorption. Similarity solutions for the transformed governing equations are obtained. The reduced equations are solved numerically using the Runge–Kutta Fehlberg method with shooting technique. The influences of various involved parameters on velocity profiles, temperature profiles, local skin friction, and local Nusselt number are discussed. Numerical values of local skin friction and local Nusselt number are computed. The significant outcomes of the study are that the velocity decreases when the radiation parameter \documentclass[12pt]{minimal}
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\begin{document}$$R_{d}$$\end{document}Rd is increased while the temperature profile is increased for higher values of radiation parameter \documentclass[12pt]{minimal}
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\begin{document}$$R_{d}$$\end{document}Rd in case of opposing flow, moreover, growth in Deborah number \documentclass[12pt]{minimal}
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\begin{document}$$\beta_{2}$$\end{document}β2 enhance the velocity and momentum boundary layer. The heat transfer rate is decrease due to magnetic strength but increase with the increased values of Prandtl and Deborah numbers. The results of this model are closely matched with the outputs available in the literature.
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Affiliation(s)
- Fazle Mabood
- Department of Information Technology, Fanshawe College London, London, ON, Canada
| | | | - Anum Shafiq
- School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China
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