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Yahya AU, Eldin SM, Alfalqui SH, Ali R, Salamat N, Siddique I, Abdal S. Computations for efficient thermal performance of Go + AA7072 with engine oil based hybrid nanofluid transportation across a Riga wedge. Heliyon 2023; 9:e17920. [PMID: 37483717 PMCID: PMC10362166 DOI: 10.1016/j.heliyon.2023.e17920] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2022] [Revised: 07/01/2023] [Accepted: 07/01/2023] [Indexed: 07/25/2023] Open
Abstract
The demand for efficient heat transportation for the reliable functioning of mechanical processes is rising. The hybrid nanofluid emulsion is a related new concept in this research field. This communication pertains to mass and thermal transportation of Graphene oxide (Go) + AA7072 to be dissolved homogeneously in the bulk engine oil. In order to demonstrate the effectiveness of this hybrid nanofluid, a simple nanofluid Go/engine oil is also discussed. The flow of fluids occurs due to stretch in the wedge adjusted with Riga surface. The design of a hybrid nanofluid manifests the novelty of the work. The system of partial differential equations that are based on conservation principles of energy, momentum, and mass are transmuted to ordinary differential form. Numerical simulation is carried out on the Matlab platform by employing the Runge-Kutta approach along with a shooting tool. The influential parameters are varied to disclose the nature of physical quantities. The flow is accelerated with higher attributes of the modified Hartmann number, but it decelerates against the Weinberg number. The fluid's temperature rises with increment, in the concentration of nano-entities. The velocity for hybrid nanofluids is slower than that of mono nanofluids and the temperature distribution for hybrid nanofluids is greater than that of mono nanofluids. The fluid temperature increases with the concentration ϕ2 of AA7072.
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Affiliation(s)
- Asmat Ullah Yahya
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
| | - Sayed M Eldin
- Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, Egypt
| | - Suleman H Alfalqui
- Department of Mathematics, College of Science and Arts, King Khalid University, Muhayil 61413, Abha, Saudi Arabia
| | - Rifaqat Ali
- Department of Mathematics, College of Science and Arts, King Khalid University, Muhayil 61413, Abha, Saudi Arabia
| | - Nadeem Salamat
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
| | - Imran Siddique
- Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan
| | - Sohaib Abdal
- Department of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
- School of Mathematics, Northwest University, No.229 North Taibai Avenue, Xi'an 7100069, China
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Ali B, Siddique I, Ahmad H, Askar S. Influence of nanoparticles aggregation and Lorentz force on the dynamics of water-titanium dioxide nanoparticles on a rotating surface using finite element simulation. Sci Rep 2023; 13:4702. [PMID: 36949222 PMCID: PMC10033941 DOI: 10.1038/s41598-023-31771-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/04/2022] [Accepted: 03/16/2023] [Indexed: 03/24/2023] Open
Abstract
This communication briefings the roles of Lorentz force and nanoparticles aggregation on the characteristics of water subject to Titanium dioxide rotating nanofluid flow toward a stretched surface. Due to upgrade the thermal transportation, the nanoparticles are incorporated, which are play significance role in modern technology, electronics, and heat exchangers. The primary objective of this communication is to observe the significance of nanoparticles aggregation to enhance the host fluid thermal conductivity. In order to model our work and investigate how aggregation characteristics affect the system's thermal conductivity, aggregation kinetics at the molecular level has been mathematically introduced. A dimensionless system of partial-differential equations is produced when the similarity transform is applied to a elaborated mathematical formulation. Thereafter, the numerical solution is obtained through a well-known computational finite element scheme via MATLAB environment. When the formulation of nanoparticle aggregation is taken into consideration, it is evident that although the magnitude of axial and transverse velocities is lower, the temperature distribution is enhanced by aggregation.
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Affiliation(s)
- Bagh Ali
- School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, 518055, China
- Faculty of Computer Science and Information Technology, Superior University, Lahore, 54000, Pakistan
| | - Imran Siddique
- Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan.
| | - Hijaz Ahmad
- Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186, Rome, Italy
| | - Sameh Askar
- Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
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Significance of nanoparticles aggregation on the dynamics of rotating nanofluid subject to gyrotactic microorganisms, and Lorentz force. Sci Rep 2022; 12:16258. [PMID: 36171248 PMCID: PMC9519940 DOI: 10.1038/s41598-022-20485-0] [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: 06/21/2022] [Accepted: 09/14/2022] [Indexed: 11/29/2022] Open
Abstract
The significance of nanoparticle aggregation, Lorentz and Coriolis forces on the dynamics of spinning silver nanofluid flow past a continuously stretched surface is prime significance in modern technology, material sciences, electronics, and heat exchangers. To improve nanoparticles stability, the gyrotactic microorganisms is consider to maintain the stability and avoid possible sedimentation. The goal of this report is to propose a model of nanoparticles aggregation characteristics, which is responsible to effectively state the nanofluid viscosity and thermal conductivity. The implementation of the similarity transforQ1m to a mathematical model relying on normal conservation principles yields a related set of partial differential equations. A well-known computational scheme the FEM is employed to resolve the partial equations implemented in MATLAB. It is seen that when the effect of nanoparticles aggregation is considered, the temperature distribution is enhanced because of aggregation, but the magnitude of velocities is lower. Thus, showing the significance impact of aggregates as well as demonstrating themselves as helpful theoretical tool in future bioengineering and industrial applications.
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Gupta R, Gaur M, Dadheech PK, Agrawal P. Numerical Study of Marangoni Convection Flow of GO-Nanofluid with H 2O– EG Hybrid Base Fluid with Non-Linear Thermal Radiation. JOURNAL OF NANOFLUIDS 2022. [DOI: 10.1166/jon.2022.1835] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
Abstract
Thermodynamic studies of hybrid colloidal fluids are now of interest. Biomedical science, drug delivery system, electronic chips, paint industries and mechanical engineering are some key applications fields. Hence the current investigation is carried out for Graphene Oxide (GO)
nanofluids flow with Marangoni convection over a stretching surface. This investigation is studied under effect of thermal radiation and MHD. The hybrid base fluid is considered with 50-50 percent composition of Water–Ethylene Glycol (H2O–EG). For the numerical
simulation of the flow with fourth ordered Runge-Kutta method suitable similarity solutions used. Numerical solutions with graphical representation are presented. From the reported analysis, it is examined that Graphene Oxide/H2O–EG has better heat transport characteristics
and is therefore reliable for industrial and technological purposes. With increased radiation and temperature ratio parameters, a decrement in temperature curve is noticed for both nanofluids. For enhancing values of volume friction parameter a decreased velocity curve is noted and increment
is noted for temperature profiles for both nanofluids.
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Affiliation(s)
- Ravi Gupta
- School of Science and Technology, Vardhman Mahaveer Open University, Kota 324010, India
| | - Manish Gaur
- Department of Mathematics, Government PG College, Kota 324010, India
| | | | - Priyanka Agrawal
- Department of Mathematics, University of Rajasthan, Jaipur 302004, India
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The Impact of Cattaneo–Christov Double Diffusion on Oldroyd-B Fluid Flow over a Stretching Sheet with Thermophoretic Particle Deposition and Relaxation Chemical Reaction. INVENTIONS 2021. [DOI: 10.3390/inventions6040095] [Citation(s) in RCA: 15] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The current study focuses on the characteristics of flow, heat, and mass transfer in the context of their applications. There has been a lot of interest in the use of non-Newtonian fluids in biological and technical disciplines. Having such a substantial interest in non-Newtonian fluids, our goal is to explore the flow of Oldroyd-B liquid over a stretching sheet by considering Cattaneo–Christov double diffusion and heat source/sink. Furthermore, the relaxation chemical reaction and thermophoretic particle deposition are considered in the modelling. The equations that represent the indicated flow are changed to ordinary differential equations (ODEs) by choosing relevant similarity variables. The reduced equations are solved using the Runge–Kutta–Fehlberg fourth–fifth order technique (RKF-45) and a shooting scheme. Physical descriptions are strategized and argued using graphical representations to provide a clear understanding of the behaviour of dimensionless parameters on dimensionless velocity, concentration, and temperature profiles. The results reveal that the rising values of the rotation parameter lead to a decline in the fluid velocity. The rise in values of relaxation time parameters of temperature and concentration decreases the thermal and concentration profiles, respectively. The increase in values of the heat source/sink parameter advances the thermal profile. The rise in values of the thermophoretic and chemical reaction rate parameters declines the concentration profile.
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Shi QH, Shabbir T, Mushtaq M, Khan MI, Shah Z, Kumam P. Modelling and numerical computation for flow of micropolar fluid towards an exponential curved surface: a Keller box method. Sci Rep 2021; 11:16351. [PMID: 34381137 PMCID: PMC8358016 DOI: 10.1038/s41598-021-95859-x] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/03/2021] [Accepted: 07/15/2021] [Indexed: 11/20/2022] Open
Abstract
The numerical analysis of MHD boundary layer non-Newtonian micropolar fluid due to an exponentially curved stretching sheet is developed in this study. In the energy equation effects of viscous dissipation are included. For the mathematical description of the governing equations curvilinear coordinates are used. By utilizing exponential similarity variables, the modelled partial differential equations (PDEs) are reduced into ordinary ones. The resultant non-linear ODEs are numerically solved with two methods shooting and Keller box method. The study reveals that the governing parameters, namely, radius of curvature, material parameter, magnetic parameter, Prandtl number and Eckert number have major effects on the fluid velocity, micro-rotation velocity, surface friction, couple stress and heat transfer rate. The results indicate that the magnetic field diminishes the fluid velocity inside the hydrodynamics boundary layer whereas it enhances the temperature inside the thermal boundary layer. Microrotation profile decreases near the surface, as the magnetic parameter and radius of curvature increases but far away behavior is opposite. The material parameter enhances the velocity and microrotation profile whereas, opposite behaviors is noticed for the temperature distribution. Obtained outcomes are also compared with the existing literature and the comparison shows a good agreement with existing studies.
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Affiliation(s)
- Qiu-Hong Shi
- Department of Mathematics, Huzhou University, Huzhou, 313000, People's Republic of China
| | - Tayyaba Shabbir
- Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad, Islamabad, 44000, Pakistan
| | - M Mushtaq
- Department of Mathematics, COMSATS University Islamabad, Park Road, Chak Shahzad, Islamabad, 44000, Pakistan
| | - M Ijaz Khan
- Department of Mathematics and Statistics, Riphah International University I-14, Islamabad, 44000, Pakistan
| | - Zahir Shah
- Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat, 28420, Khyber Pakhtunkhwa, Pakistan. .,Center of Excellence in Theoretical and Computational Science (TaCS‑CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
| | - Poom Kumam
- Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS‑CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod Thung Khru, Bangkok, 10140, Thailand. .,Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
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Finite Element Study for Magnetohydrodynamic (MHD) Tangent Hyperbolic Nanofluid Flow over a Faster/Slower Stretching Wedge with Activation Energy. MATHEMATICS 2020. [DOI: 10.3390/math9010025] [Citation(s) in RCA: 24] [Impact Index Per Article: 6.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
The below work comprises the unsteady flow and enhanced thermal transportation for Carreau nanofluids across a stretching wedge. In addition, heat source, magnetic field, thermal radiation, activation energy, and convective boundary conditions are considered. Suitable similarity functions use to transmuted partial differential formulation into the ordinary differential form, which is solved numerically by the finite element method and coded in Matlab script. Parametric computations are made for faster stretch and slowly stretch to the surface of the wedge. The progressing value of parameter A (unsteadiness), material law index ϵ, and wedge angle reduce the flow velocity. The temperature in the boundary layer region rises directly with exceeding values of thermophoresis parameter Nt, Hartman number, Brownian motion parameter Nb, ϵ, Biot number Bi and radiation parameter Rd. The volume fraction of nanoparticles rises with activation energy parameter EE, but it receded against chemical reaction parameter Ω, and Lewis number Le. The reliability and validity of the current numerical solution are ascertained by establishing convergence criteria and agreement with existing specific solutions.
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