Abstract
We have analyzed numerically the impact of radiation and viscous dissipation on steady MHD flow over a stretching sheet with an induced magnetic field. The nonlinear equations are transferred to ODE with the help of a similar transformation. Further, transferred equations are solved using the fourth-order Runge–Kutta method with the help of Matlab BVP4C programming. Comparisons with the earlier results have been made and good agreements were found. Surface transport phenomena such as skin friction, Nusselt number are discussed besides the three boundary layers. Some important results are found: The magnetic parameter β decelerates velocity, and accelerates temperature profiles; The radiation parameter(R) enhances the thermal boundary layer thickness for both cases a/c < 1 and a/c < 1.
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References
B. Jalilpour, S. Jafarmadar, M.M. Rashidi, D.D. Ganji, R. Rahime, A.B. Shotorban, MHD non-orthogonal stagnation point flow of a nanofluid towards astretching surface in the presence of thermal radiation. Ain Shams Engineering Journal 9, 1671–1681 (2018)
Abbas, Z., Sheikh,M., Motsa, S.S. Numerical solution of binary chemical reaction on stagnation point flow of Casson fluid over a stretching/shrinking sheet with thermalradiation. Energy, 95 (2016) 12–20
J.C. Misra, A. Sinha, Effect of thermal radiation on MHD flow of blood and heat transfer in a permeable capillary in stretching motion. Heat Mass Transfer 49, 617–628 (2013)
T.R. Mahapatra, A.S. Gupta, Heat tansfer in stagnation-point flow towards a stretching sheet. Heat Mass Transf. 38, 517–521 (2002)
R. Nazar, N. Amin, D. Filip, I. Pop, Unsteady boundary layer flow in the region of the stagnation point on a stretching sheet. Int. J. Eng. Sci. 42, 1241–1253 (2004)
A. Ishak, R. Nazar, I. Pop, Mixed convection boundary layers in the stagnation-point flow towards a stretching vertical sheet. Meccanica 41, 509–518 (2006)
F.M. Ali, R. Nazar, N.M. Arifin, I. Pop, MHD boundary layer flow and heat transfer over a stretching sheet with induced magnetic field. Heat Mass Transfer 47, 155–162 (2011)
El-Aziz, M. A., AfifyA. A. Influences of Slip Velocity and Induced Magnetic Field onMHD Stagnation-Point Flow and Heat Transfer of Casson Fluid over a Stretching Sheet. Mathematical Problems in Engineering, 9402836 (2018) 11, https://doi.org/10.1155/2018/9402836
F.M. Ali, R. Nazar, N.M. Arifin, I. Pop, MHD stagnation-point flow and heat transfer towards stretching sheet with induced magnetic field. Appl. Mathematics and Mechanics 32(4), 409–418 (2011)
T.G. Cowling, Magnetohydrodynamics (Interscience Publication, New York, 1957)
J. Hartmann, Hg-dynamics I, theory of the laminar flow of an electrically conducting liquid in a homogenous magnetic field. Matematisk-Fysiske Meddelelser 15(6), 1–28 (1937)
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Panigrahi, L., Panda, J.P. (2021). Effects of Radiation on MHD Flow with Induced Magnetic Field. In: Paikray, S.K., Dutta, H., Mordeson, J.N. (eds) New Trends in Applied Analysis and Computational Mathematics. Advances in Intelligent Systems and Computing, vol 1356. Springer, Singapore. https://doi.org/10.1007/978-981-16-1402-6_10
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DOI: https://doi.org/10.1007/978-981-16-1402-6_10
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