Abstract
The present study investigates the Soret and Dufour effects on the unsteady stagnation point flow of micropolar fluid toward a permeable stretching surface. First, we obtained the ordinary differential equation using appropriate transformation on partial differential equations. Then we used the Homotopy analysis method (HAM) to solve the subsequent problem. The influences of different values for various pertinent parameters such as unsteady parameter, Schmidt number, chemical reaction parameter, Dufour and Soret number on concentration, and temperature distributions are determined. Numerical values of physically interested parameter like skin friction coefficient are computed and compared with the previous results.
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References
Eringen, C.: Theory of micropolar fluids. J. Math. Mech. 16, 1–18 (1966)
Joneidi, A., Ganji, D.D., Babaelahi, M.: Micropolar flow in a porous channel with high mass transfer. Int. Commun. Heat Mass Trans. 36, 1082–1088 (2009)
Ashraf, M., Kamal, M.A., Syed, K.S.: Numerical study of asymmetric laminar flow of micropolar fluids in a porous channel. Comput. Fluids. 38, 1895–1902 (2009)
Mahapatra, T.R., Gupta, A.S.: Heat transfer in stagnation-point flow towards a stretching sheet. Heat Mass Trans. 38, 517–521 (2002)
Nazar, R., Amin, N., Filip, D., Pop, I.: Stagnation point flow of a micropolar fluid towards a stretching sheet. Int. J. Nonlinear Mech. 39, 1227–1235 (2004)
Angel, M., Takhar, H.S., Pop, I.: Dufour and Soret effects on free convection boundary layer over a vertical surface embedded in a porous medium, Studia univer. Bolyai, Mathematica XLV, pp. 11–21 (2000)
Cheng, C.Y.: Soret and Dufour effects on heat and mass transfer by natural convection from a vertical truncated cone in a fluid-saturated porous medium with variable wall temperature and concentration. Int. Commun. Heat Mass Transf. 37, 1031–1035 (2010)
Pal, D., Chatterjee, S.: Mixed convection magnetohydrodynamic heat and mass transfer past a stretching surface in a micropolar fluid-saturated porous medium under the influence of Ohmic heating, Soret and Dufour effects. Commun. Nonlinear Sci. Numer. Simulat. 16, 1329–1346 (2011)
Pal, D., Mondal, H.: Influence of thermophoresis and Soret-Dufour on magnetohydrodynamic heat and mass transfer over a non-isothermal wedge with thermal radiation and Ohmic dissipation. J. Magn. Magn. Mater. 331, 250–255 (2013)
Pal, D., Mondal, H.: Effects of Soret Dufour, chemical reaction and thermal radiation on MHD non-Darcy unsteady mixed convective heat and mass transfer over a stretching sheet. Commun. Nonlinear Sci. Numer. Simulat. 16, 1942–1958 (2011)
Pal, D., Mondal, H.: Influence of Soret and Dufour on MHD buoyancy-driven heat and mass transfer over a stretching sheet in porous media with temperature-dependent viscosity. Nucl. Eng. Des. 256, 350–357 (2013)
Pal, D., Mondal, H.: Soret and Dufour effects on MHD non-Darcian mixed convection heat and mass transfer over a stretching sheet with nonuniform heat source/sink. Phys B: Condens Matter. 407, 642–651 (2012)
Liao, S.J.: A general approach to get series solution of nonsimilarity boundary layer flows. Commun. Nonlinear Sci. Numer. Simulat. 14, 2144–2159 (2009)
Liao, S.J.: Notes on the homotopy analysis method: Some definitions and theorems. Commun. Nonlinear Sci. Numer. Simulat. 14, 983–997 (2009)
Peddieson, J., Mc, R.P.: Boundary layer theory for micropolar fluid. Recent Adv. Eng. Sci. 5, 405–426 (2009)
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The first author is grateful to the University Technology PETRONAS for financial support.
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Jahan, S., Sakidin, H., Nazar, R. (2016). Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid Towards a Permeable Stretching Sheet. In: Kılıçman, A., Srivastava, H., Mursaleen, M., Abdul Majid, Z. (eds) Recent Advances in Mathematical Sciences. Springer, Singapore. https://doi.org/10.1007/978-981-10-0519-0_5
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DOI: https://doi.org/10.1007/978-981-10-0519-0_5
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