MHD Flow Past a Stretching Porous Surface under the Action of Internal Heat Source, Mass Transfer, Viscous and Joules Dissipation
Abstract
The paper investigates two-dimensional, steady, nonlinear laminar boundary layer heat and mass transfer MHD flow past a stretching porous surface embedded in a porous medium under the action of internal heat generation with the consideration of viscous and joules heat dissipation in the presence of a transverse magnetic field. The two-dimensional governing equations are solved by using MATLAB built in bvp4c solver technique for different values of physical parameters. The numerical values of various flow parameters such as velocity, temperature, concentration are calculated numerically and analysed graphically for various values of the non-dimensional physical parameters of the problem followed by conclusions. The study concludes opposite behaviour of transverse and longitudinal velocity under the action of suction velocity in addition to the effects of heat source on fluid velocities, temperature and concentration.
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References
T.C. Chaim, “Magnetohydrodynamic heat transfer over a non-isothermal stretching sheet,” Acta Mech. 122, 169-179 (1977). https://doi.org/10.1007/BF01181997
A. Chakrabarty, and A.S. Gupta, “Hydromagnetic flow and heat transfer over a stretching sheet,” Q. Appl. Math. 37, 73-78 (1979).
K. Vajravelu, and A. Hadjinicolaou, “Heat Transfer in a viscous fluid over a stretching sheet with viscous dissipation and internal heat generation,” Int. Commun. Heat Mass, 20, 417-430 (1993). https://doi.org/10.1016/0735-1933(93)90026-R
K.A. Yih, “Viscous and Joule heating effects on non-Darcy MHD natural convection flow over a permeable sphere in porous media with internal heat generation,” Int. Commun. Heat Mass, 27(4), 591-600 (2000). https://doi.org/10.1016/S0735-1933(00)00141-X
B. Ganga, S.P. Anjali Devi, and M. Kayalvizhi, “Nonlinear hydromagnetic flow and heat transfer due to a stretching porous surface with prescribed heat flux and viscous dissipation effects”, Proceedings of the National Conference on applications of Partial Differential Equations,” 107-117 (2007).
Md.M. Alam, M.A. Alim, and Md.M. K. Chowdhury, “Viscous dissipation effects on MHD natural convection flow over a sphere in the presence of heat generation,” Nonlinear Anal. Model. Control, 12(4), 447-459 (2007).
S.S. Saxena, and G.K. Dubey, “Unsteady MHD heat and mass transfer free convection flow of polar fluids past a vertical moving porous plate in a porous medium with heat generation and thermal diffusion,” Advances in Applied Science Research, 2(4), 259 278 (2011).
C.H. Chen, “Combined heat and mass transfer in MHD free convection from a vertical surface with ohmic heating and viscous dissipation,” Int. J. Eng. Sci., 42, 699-713 (2004). https://doi.org/10.1016/j.ijengsci.2003.09.002
S.P. Anjali Devi, and B. Ganga, “Effects of Viscous and Joules Dissipation on MHD Flow, Heat and Mass Transfer Past a Stretching Porous Surface Embedded in a Porous Medium,” Nonlinear Analysis: Modelling and control, 14(3), 303-314 (2009). https://doi.org/10.15388/NA.2009.14.3.14497
M.S. Abel, E. Sanjayan, and M. Nadeppanvar, “Viscoelastic MHD flow and heat transfer over a stretching sheet with viscous and ohmic dissipations,” Communication in Nonlinear Science and Numerical simulation, 13, 1808-1821 (2008). https://doi.org/10.1016/j.cnsns.2007.04.007
M. Sajid, T. Hayat, and S. Asghar, “Non-similar analytic solution for MHD flow and heat transfer in a third-order fluid over a stretching sheet,” Int. J. Heat Mass Tran., 50, 1723-1736 (2007). http://dx.doi.org/10.1016/j.ijheatmasstransfer.2006.10.011
A. Pantokratoras, “Study of MHD boundary layer flow over a heated stretching sheet with variable viscosity: A numerical reinvestigation,” Int. J. Heat Mass Tran., 51, 104-110 (2008). https://doi.org/10.1016/j.ijheatmasstransfer.2007.04.007
R.M. Sonth, S.K. Khan, M.S. Abel, and K.V. Prashad, “Heat and Mass transfer in a visco-elastic fluid over an accelerating surface with heat source/sink and viscous dissipation,” Heat Mass Transfer, 38, 213-220 (2002). https://doi.org/10.1007/s002310100271
E.M. Abo-Eldahab, and M.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 ios-slips currents,” Appl. Math. Model., 29, 579-595 (2005). https://doi.org/10.1016/j.apm.2004.10.005
S.S. Tak, and A. Lodha, “Flow and heat transfer due to a stretching porous surface in presence of transverse magnetic field,” Acta Ciencia Indica, XXXIM(3), 657-663 (2005).
A. Goswami, M. Goswami and K. G. Singha, “Unsteady MHD free convection flow between two heated vertical parallel plates in the presence of a uniform magnetic field,” International Journal of Scientific Research in Mathematical and Statistical Sciences, 7, 86-94 (2020). https://www.isroset.org/pdf_paper_view.php?paper_id=1837&12-IJSRMSS-03181.pdf
I. Khan, A. Hussain, M. Y. Malik, and S. Mukhtar, “On magnetohydrodynamics Prandtl fluid flow in the presence of stratification and heat generation,” Physica A: Statistical Mechanics and its Applications, 540, 123008 (2020). https://doi.org/10.1016/j.physa.2019.123008
B.K. Goud, P.P. Kumer, and B.S. Malga, “Induced magnetic field effect on MHD free convection flow in nonconducting and conducting vertical microchannel,” Heat transfer, 57, 2201-2218 (2021). https://doi.org/10.1002/htj.22396
M. Waqas, Z. Asghar, and W.A. Khan, “Thermo-solutal Robin conditions significance in thermally radiative nanofluid under stratification and magneto hydrodynamics,” The European Physical Journal Special Topics, 230(5), 1307-1316 (2021). https://doi.org/10.1140/epjs/s11734-021-00044-w
J. Ming’ang’a, “Effect of chemical reaction and joule heating on MHD generalized coutte flow between two parallel vertical porous plates with induced magnetic field and Newtonian heating/cooling,” 2023, 9134811 (2023). https://doi.org/10.1155/2023/9134811
R. Kodi, C. Ganteda, A. Dasore, M.L. Kumar, G. Laxmaiah, M.A. Hasan, S. Islam, and A. Razak, “Influence of MHD mixed convection flow for Maxwell nanofluid through a vertical cone with porous material in the existence of variable heat conductivity and diffusion,” Case Studies in Thermal Engineering, 44, 102875 (2023). https://doi.org/10.1016/j.csite.2023.102875
R. Kodi, M. Obulesa, and K.V. Raju, “Radiation absorption on MHD free conduction flow through porous medium over an unbounded vertical plate with heat source,” International Journal of Ambient Energy, 44(1), 1712-1720 (2023). https://doi.org/10.1080/01430750.2023.2181869
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