ANALYSIS OF MHD MIXED CONVECTION FLOW PAST A STRETCHING SHEET IN POROUS MEDIUM
DOI:
https://doi.org/10.29121/shodhkosh.v5.i6.2024.5105Abstract [English]
In this study, we are examining the combined effects of magnetohydrodynamics (MHD), with mixed convective flow over a linearly stretching sheet imbedded in a porous medium. The mathematical formulation utilizes appropriate similarity transformations to generate a system of coupled, nonlinear ordinary differential equations (ODEs) that are influenced by important physical parameters on velocity, temperature, and concentration fields. The Runge-Kutta-Fehlberg (RKF) method is employed to numerically solve these ODEs. The dimensionless velocity, and temperature profiles are graphically illustrated and discussed in detail in relation to the effects of a variety of governing parameters, such as the magnetic parameter, Eckert number, and porosity parameter. Potential applications in industrial, chemical, and engineering processes are provided by the results, which offer valuable insights into the behavior of MHD flows in porous media environments.
References
L. J. Crane, “Flow past a stretching plate,” Z. Für Angew. Math. Phys. ZAMP, vol. 21, no. 4, pp. 645–647, Jul. 1970, doi: 10.1007/BF01587695. DOI: https://doi.org/10.1007/BF01587695
P. S. Gupta and A. S. Gupta, “Heat and mass transfer on a stretching sheet with suction or blowing,” Can. J. Chem. Eng., vol. 55, no. 6, pp. 744–746, 1977, doi: 10.1002/cjce.5450550619. DOI: https://doi.org/10.1002/cjce.5450550619
H. S. Takhar, A. J. Chamkha, and G. Nath, “Flow and mass transfer on a stretching sheet with a magnetic field and chemically reactive species,” Int. J. Eng. Sci., vol. 38, no. 12, pp. 1303–1314, Aug. 2000, doi: 10.1016/S0020-7225(99)00079-8. DOI: https://doi.org/10.1016/S0020-7225(99)00079-8
T. Hayat, Z. Abbas, and T. Javed, “Mixed convection flow of a micropolar fluid over a non-linearly stretching sheet,” Phys. Lett. A, vol. 372, no. 5, pp. 637–647, Jan. 2008, doi: 10.1016/j.physleta.2007.08.006. DOI: https://doi.org/10.1016/j.physleta.2007.08.006
T. Cebeci and P. Bradshaw, Physical and computational aspects of convective heat transfer. in Physical and Computational Aspects of Convective Heat Transfer. New York, NY: Springer, 1988. doi: 10.1007/978-1-4612-3918-5. DOI: https://doi.org/10.1007/978-1-4612-3918-5
P. Singh and V. Poply, “Impact of free stream velocity and variable heat flux over a permeable stretching surface,” Int. J. Appl. Eng. Res., vol. 10, no. 94, pp. 69–76, 2015.
P. Singh, T. N. Singh, S. Kumar, and D. Sinha, “Effect of radiation and porosity parameter on magnetohydrodynamic flow due to stretching sheet in porous media,” Therm. Sci., vol. 15, no. 2, pp. 517–526, 2011. DOI: https://doi.org/10.2298/TSCI1102517S
S. Mukhopadhyay, “Analysis of boundary layer flow over a porous nonlinearly stretching sheet with partial slip at the boundary,” Alex. Eng. J., vol. 52, no. 4, pp. 563–569, Dec. 2013, doi: 10.1016/j.aej.2013.07.004. DOI: https://doi.org/10.1016/j.aej.2013.07.004
A. Alhadhrami et al., “Numerical simulation of local thermal non-equilibrium effects on the flow and heat transfer of non-Newtonian Casson fluid in a porous media,” Case Stud. Therm. Eng., vol. 28, p. 101483, Dec. 2021, doi: 10.1016/j.csite.2021.101483. DOI: https://doi.org/10.1016/j.csite.2021.101483
I. Ahmad et al., “MHD flow of a viscous fluid over an exponentially stretching sheet in a porous medium,” J. Appl. Math., vol. 2014, no. 1, p. 256761, 2014, doi: 10.1155/2014/256761. DOI: https://doi.org/10.1155/2014/256761
R. Jat, G. Chand, and D. Rajotia, “MHD heat and mass transfer for viscous flow over nonlinearly stretching sheet in a porous medium,” 2014. Accessed: May 08, 2025. [Online]. Available: https://www.semanticscholar.org/paper/MHD-Heat-and-Mass-Transfer-for-Viscous-flow-over-in-Jat-Chand/1fd1d8676245cd376eb28865da380cae52418b16
I. C. Mandal and S. Mukhopadhyay, “Heat transfer analysis for fluid flow over an exponentially stretching porous sheet with surface heat flux in porous medium,” Ain Shams Eng. J., vol. 4, no. 1, pp. 103–110, Mar. 2013, doi: 10.1016/j.asej.2012.06.004. DOI: https://doi.org/10.1016/j.asej.2012.06.004
R. Devi, V. Poply, and Manimala, “Impact of aligned MHD flow with inclined outer velocity for a casson nanofluid over a stretching sheet,” Heat Transf., vol. 49, no. 6, pp. 3702–3725, 2020, doi: 10.1002/htj.21796. DOI: https://doi.org/10.1002/htj.21796
S. Taneja, V. Poply, and P. Kumar, “Fluid properties of an unsteady MHD free stream flow over a stretching sheet in presence of radiation,” Heat Transf., vol. 52, no. 3, pp. 2383–2399, 2023, doi: 10.1002/htj.22788. DOI: https://doi.org/10.1002/htj.22788
K. Vajravelu and J. Nayfeh, “Convective heat transfer at a stretching sheet,” Acta Mech., vol. 96, no. 1, pp. 47–54, Mar. 1993, doi: 10.1007/BF01340699. DOI: https://doi.org/10.1007/BF01340699
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