MHD Casson Fluid Flow in Stagnation-Point over an Inclined Porous Surface
DOI:
https://doi.org/10.37934/cfdl.16.4.6984Keywords:
MHD, Stagnation Point, Viscous dissipation, chemical reaction, Thermal radiationAbstract
Motivated by the need to comprehend and optimize complex fluid flow phenomena in various engineering and industrial applications, this paper investigates the magnetohydrodynamic (MHD) Casson fluid flow characteristics in the vicinity of a stagnation point over an inclined porous surface. The study addresses the interplay of permeability, viscous dissipation, buoyancy, and volumetric heat source, chemical reaction of the diffusion species, thermal slip, and obliqueness at the bounding surface. The governing equations are transformed into a dimensionless form using appropriate similarity transformations. The resulting nonlinear ordinary differential equations are solved numerically using the fourth-order Runge-Kutta method, coupled with the shooting technique as coded into the bvp4c solver of MATLAB 2021a. Findings from this study show that instability arises due to reduced velocity at low permeability, and Biot number enhances the Newtonian cooling at the surface, a requirement for the design of heat exchangers.
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Crane, Lawrence J. "Flow past a stretching plate." Zeitschrift für angewandte Mathematik und Physik ZAMP 21 (1970): 645-647. https://doi.org/10.1007/BF01587695
Mahapatra, T. Ray, S. Dholey, and A. S. Gupta. "Heat transfer in oblique stagnation-point flow of an incompressible viscous fluid towards a stretching surface." Heat and mass transfer 43, no. 8 (2007): 767-773. https://doi.org/10.1007/s00231-006-0116-8
Mahapatra, T. Ray, S. Dholey, and A. S. Gupta. "Momentum and heat transfer in the magnetohydrodynamic stagnation-point flow of a viscoelastic fluid toward a stretching surface." Meccanica 42 (2007): 263-272. https://doi.org/10.1007/s00231-006-0116-8
Oke, Abayomi S., and Winifred N. Mutuku. "Significance of viscous dissipation on MHD Eyring–Powell flow past a convectively heated stretching sheet." Pramana 95, no. 4 (2021): 199. https://doi.org/10.1007/s00231-006-0116-8
Parida, B. C., B. K. Swain, and N. Senapati. "MASS TRANSFER EFFECT ON VISCOUS DISSIPATIVE MHD FLOW OF NANOFLUID OVER A STRETCHING SHEET EMBEDDED IN A POROUS MEDIUM." Journal of Naval Architecture & Marine Engineering 18, no. 1 (2021). https://doi.org/10.1007/s00231-006-0116-8
Turkyilmazoglu, M. "Exact analytical solutions for heat and mass transfer of MHD slip flow in nanofluids." Chemical Engineering Science 84 (2012): 182-187. https://doi.org/10.1007/s00231-006-0116-8
Hayat, T., S. A. Shehzad, and A. Alsaedi. "Soret and Dufour effects on magnetohydrodynamic (MHD) flow of Casson fluid." Applied Mathematics and Mechanics 33 (2012): 1301-1312. https://doi.org/10.1007/s00231-006-0116-8
Rani, K. Sandhya, G. Venkata Ramana Reddy, and Abayomi Samuel Oke. "Significance of Cattaneo-Christov Heat Flux on Chemically Reacting Nanofluids Flow Past a Stretching Sheet with Joule Heating Effect." CFD Letters 15, no. 7 (2023): 31-41. https://doi.org/10.37934/cfdl.15.7.3141
Alipour, Navid, Bahram Jafari, and Kh Hosseinzadeh. "Optimization of wavy trapezoidal porous cavity containing mixture hybrid nanofluid (water/ethylene glycol Go–Al2O3) by response surface method." Scientific Reports 13, no. 1 (2023): 1635. https://doi.org/10.1038/s41598-023-28916-2
Akbari, Shahin, Shahin Faghiri, Parham Poureslami, Khashayar Hosseinzadeh, and Mohammad Behshad Shafii. "Analytical solution of non-Fourier heat conduction in a 3-D hollow sphere under time-space varying boundary conditions." Heliyon 8, no. 12 (2022). https://doi.org/10.1016/j.heliyon.2022.e12496
Hosseinzadeh, S., Kh Hosseinzadeh, A. Hasibi, and D. D. Ganji. "Thermal analysis of moving porous fin wetted by hybrid nanofluid with trapezoidal, concave parabolic and convex cross sections." Case Studies in Thermal Engineering 30 (2022): 101757. https://doi.org/10.1016/j.csite.2022.101757
Bachok, Norfifah, Siti Nur Nazurah Tajuddin, Nur Syazana Anuar, and Haliza Rosali. "Numerical Computation of Stagnation Point Flow and Heat Transfer over a Nonlinear Stretching/Shrinking Sheet in Hybrid Nanofluid with Suction/Injection Effects." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 1 (2023): 80-86. https://doi.org/10.37934/arfmts.107.1.8086
Soid, Siti Khuzaimah, Siti Nor Asiah Ab Talib, Nur Hazirah Adilla Norzawary, Siti Suzilliana Putri Mohamed Isa, and Muhammad Khairul Anuar Mohamed. "Stagnation Bioconvection Flow of Titanium and Aluminium Alloy Nanofluid Containing Gyrotactic Microorganisms over an Exponentially Vertical Sheet." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 107, no. 1 (2023): 202-218. https://doi.org/10.37934/arfmts.107.1.202218
Hayat, Tasawar, and Ahmed Alsaedi. "On thermal radiation and Joule heating effects in MHD flow of an Oldroyd-B fluid with thermophoresis." Arabian Journal for Science and Engineering 36 (2011): 1113-1124. https://doi.org/10.1007/s13369-011-0066-4
Oke, Abayomi S., Ephesus O. Fatunmbi, Isaac L. Animasaun, and Belindar A. Juma. "Exploration of ternary-hybrid nanofluid experiencing Coriolis and Lorentz forces: case of three-dimensional flow of water conveying carbon nanotubes, graphene, and alumina nanoparticles." Waves in Random and Complex Media (2022): 1-20. https://doi.org/10.1080/17455030.2022.2123114
Oke, A. S. "Coriolis effects on MHD flow of MEP fluid over a non-uniform surface in the presence of thermal radiation." International Communications in Heat and Mass Transfer 129 (2021): 105695. https://doi.org/10.1016/j.icheatmasstransfer.2021.105695
Oke, A. S. "Theoretical analysis of modified eyring powell fluid flow." Journal of the Taiwan Institute of Chemical Engineers 132 (2022): 104152. https://doi.org/10.1016/j.jtice.2021.11.019
Oke, Abayomi Samuel. "Heat and mass transfer in 3D MHD flow of EG-based ternary hybrid nanofluid over a rotating surface." Arabian Journal for Science and Engineering 47, no. 12 (2022): 16015-16031. https://doi.org/10.1007/s13369-022-06838-x
Shehzad, S. A., A. Alsaedi, and T. Hayat. "Influence of thermophoresis and Joule heating on the radiative flow of Jeffrey fluid with mixed convection." Brazilian Journal of Chemical Engineering 30 (2013): 897-908. https://doi.org/10.1590/S0104-66322013000400021
Rahman, M. M. "Convective flows of micropolar fluids from radiate isothermal porous surfaces with viscous dissipation and Joule heating." Communications in Nonlinear Science and Numerical Simulation 14, no. 7 (2009): 3018-3030. https://doi.org/10.1016/j.cnsns.2008.11.010
Swain, Bharat Keshari, and Nityananda Senapati. "The effect of mass transfer on MHD free convective radiating flow over an impulsively started vertical plate embedded in a porous medium." J. Appl. Anal. Comput 5 (2015): 18-27. https://doi.org/10.11948/2015002
Chiam, T. C. "Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet." Acta Mechanica 122, no. 1-4 (1997): 169-179. https://doi.org/10.1007/BF01181997
Abel, M. Subhas, Emmanuel Sanjayanand, and Mahantesh M. Nandeppanavar. "Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations." Communications in Nonlinear Science and Numerical Simulation 13, no. 9 (2008): 1808-1821. https://doi.org/10.1016/j.cnsns.2007.04.007
Chen, Chien-Hsin. "Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation." International journal of engineering science 42, no. 7 (2004): 699-713. https://doi.org/10.1016/j.ijengsci.2003.09.002
Abo-Eldahab, Emad M., and Mohamed A. El Aziz. "Viscous dissipation and Joule heating effects on MHD-free convection from a vertical plate with power-law variation in surface temperature in the presence of Hall and ion-slip currents." Applied Mathematical Modelling 29, no. 6 (2005): 579-595. https://doi.org/10.1016/j.apm.2004.10.005
Oke, Abayomi Samuel. "Combined effects of Coriolis force and nanoparticle properties on the dynamics of gold–water nanofluid across nonuniform surface." ZAMM‐Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 102, no. 9 (2022): e202100113. https://doi.org/10.1002/zamm.202100113
Oke, Abayomi S., and Winifred N. Mutuku. "Significance of viscous dissipation on MHD Eyring–Powell flow past a convectively heated stretching sheet." Pramana 95, no. 4 (2021): 199. https://doi.org/10.1007/s12043-021-02237-3
Oke, Abayomi S., Winifred N. Mutuku, Mark Kimathi, and Isaac Lare Animasaun. "Coriolis effects on MHD newtonian flow over a rotating non-uniform surface." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 235, no. 19 (2021): 3875-3887. https://doi.org/10.1177/0954406220969730
Ouru, J. O., W. N. Mutuku, and A. S. Oke. "Buoyancy-induced MHD stagnation point flow of Williamson fluid with thermal radiation." Journal of Engineering Research and Reports 11, no. 4 (2020): 9-18. https://doi.org/10.9734/jerr/2020/v11i417065
Bhargava, R., and Sonam Singh. "Numerical simulation of unsteady MHD flow and heat transfer of a second grade fluid with viscous dissipation and Joule heating using meshfree approach." World Academy of Science, Engineering and Technology 66 (2012): 1215.
Singh, Ajay Kumar, and Rama Subba Reddy Gorla. "Free convection heat and mass transfer with Hall current, Joule heating and thermal diffusion." Heat and Mass Transfer 45 (2009): 1341-1349. https://doi.org/10.1007/s00231-009-0506-9
Juma, Belindar A., Abayomi S. Oke, Winifred N. Mutuku, Afolabi G. Ariwayo, and Olum J. Ouru. "Dynamics of Williamson fluid over an inclined surface subject to Coriolis and Lorentz forces." Engineering and Applied Science Letter 5, no. 1 (2022): 37-46.
Reddy, K. Veera, G. Venkata Ramana Reddy, A. Sandhya, and Y. Hari Krishna. "Numerical solution of MHD, Soret, Dufour, and thermal radiation contributions on unsteady free convection motion of Casson liquid past a semi‐infinite vertical porous plate." Heat Transfer 51, no. 3 (2022): 2837-2858. https://doi.org/10.1002/htj.22452
Oke, A. S. "Convergence of differential transform method for ordinary differential equations." Journal of Advances in Mathematics and Computer Science 24, no. 6 (2017): 1-17. https://doi.org/10.9734/JAMCS/2017/36489
Rashidi, Mohammad Mehdi, Behnam Rostami, Navid Freidoonimehr, and Saeid Abbasbandy. "Free convective heat and mass transfer for MHD fluid flow over a permeable vertical stretching sheet in the presence of the radiation and buoyancy effects." Ain Shams Engineering Journal 5, no. 3 (2014): 901-912. https://doi.org/10.1016/j.asej.2014.02.007
Thumma, Thirupathi, and M. D. Shamshuddin. "Buoyancy ratio and heat source effects on MHD flow over an inclined non-linearly stretching sheet." Frontiers in Heat and Mass Transfer (FHMT) 10 (2018). https://doi.org/10.5098/hmt.10.5
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