A Semi Analytical Investigation on MHD Micropolar Fluid and Heat Transfer in a Permeable Porous Channel

Thiagarajan Murugesan, Senthilkumar Kandasamy

Abstract


In this article, an analytical solution for the two-dimensional hydromagnetic flow of incompressible micropolar fluid and heat transfer in a permeable porous channel subject to a chemical reaction is investigated using differential transformation method (DTM). The concept of DTM is briefly introduced and employed to derive solutions of nonlinear differential equations. The analytical results are validated using Maple numerical routine. The effect of significant parameters such as Reynolds number, magnetic parameter, micro rotation/angular velocity and Peclet number on the flow, heat transfer and concentration characters are analyzed. It is found that in the presence of magnetic field, the Reynolds number and Peclet number have direct relationship with Nusselt number and Sherwood number for the case of both suction/injection.

Keywords


MHD; micropolar fluid; DTM; Reynolds number; Peclet number

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References


A. Chakrabarti, A.S. Gupta, Hydromagnetic flow and heat transfer over a stretching sheet, Quat. Appl. Math. 37 (1979) 73-78.

T. C. Chaim, Micropolar fluid flow over a stretching sheet, ZAMM, 62 (1982) 565-568.

A. C. Eringen, Theory of micropolar fluids, J. Math. Mech.l6 (1966) 1-18.

P.S.Gupta, A.S. Gupta, Asymptotic suction problem in the flow of micropolar liquids, Acta Mechanica, 15 (1972) 141-149.

J.H. He, Homotopy perturbation method: a new nonlinear analytical technique, Applied Mathematics and Computation archive, 135 (1), (Feb. 2003) 73-79.

N.A. Kelson, A. Desseaux, T.W. Farrell, Micropolar flow in a porous channel with high mass transfer, ANZIAM J. 44(E) (2003) 479-495.

R.A. Mohamed, S.M. Abo-Dahab, Influence of chemical reaction and thermal radiation on the heat and mass transfer in MHD micropolar flow over a vertical moving porous plate in a porous medium with heat generation, International Journal of Thermal Sciences 48 (2009) 1800–1813.

A.H. Nayfeh, Introduction to Perturbation Techniques, Wiley, 1979.

C. Perdikis and A. Raptis, Heat transfer of a micropolar fluid by the presence of radiation, Heat Mass Transfer, 31 (1996) 381 – 382.

A. Raptis, Flow of a micropolar fluid past a continuously moving plate by the presence of radiation, Int. J. Heat Mass Transfer, 41 (1998) 2865 - 2866.

M.M. Rashidi, E. Erfani, New analytical method for solving Burgers’ and nonlinear heat transfer equations and comparison with HAM, Computer Physics and Communications, 180 (2009) 1539–1544.

M.M. Rashidi, E. Erfani, The modified differential transform method for investigate nano boundary-layers over stretching surfaces, International. Journal of Numerical Method for Heat & Fluid Flow, 21 (7) (2011) 864-883.

M.M. Rashidi, S.A. Mohimanian Pour, A novel analytical solution of heat transfer of a micropolar fluid through a porous medium with radiation by DTM-Pade, Heat Transfer—Asian Research, 3(6) (2010) 93–100.

M.M. Rashidi, S.A. Mohimanian Pour, N. Laraqi, A semi-analytical solution of micropolar flow in a porous channel with mass injection by using differential transform method, Nonlinear analysis: Modelling and Control, 15(3) (2010) 341-350.

V. U. K. Sastry, V. R. M. Rao, Micropolar fluid flow due to an oscillating plane subject to rotation, Acta Mechanica, 33 (1979) 45-53.

M. Thiagarajan, K. Senthilkumar, DTM-Pade Approximants for MHD Flow with Suction/Blowing, Journal of Applied Fluid Mechanics, 6(4) (2013) 537-543, 2013.

A.J. Willsom, Boundary layers in a micropolar liquids, Proc. Camb. Phil. Soc. 67 (1970) 469-476.

J.K. Zhou, Differential Transformation and its applications for electrical circuits, Huazhong univ. Press, wuhan, China, 1986 (in Chinese).


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