Unsteady electromagnetic free convection flows of two-dimensional micropolar
fluid through in a porous medium parallel to a vertical porous plate have been investigated
numerically. Similarity analysis has been used to transform the governing equations
into its non-dimensional form by using the explicit finite difference method to
obtain numerical solutions. Estimated results have been gained for various values
of Prandtl number, Grashof number, material parameters, micropolar parameter, electric
conductivity, electric permeability, thermal relaxation time and the permeability
of the porous medium. The effects of pertinent parameters on the velocity, electric induction, magnetic induction,
microrotation and temperature distributions have been investigated briefly and illustrated graphically.
References
[1]
Eringen, A.C. (1966) Theory of Micropolar Fluids. Journal of Mathematics and Mechanics, 16, 1-18. https://doi.org/10.1512/iumj.1967.16.16001
[2]
Eringen, A.C. (1972) Theory of Thermo Micropolar Fluids. Journal of Mathematical Analysis and Applications, 38, 480-496. https://doi.org/10.1016/0022-247X(72)90106-0
[3]
Ali, M.M., Chen, T.S. and Armaly, B.F. (1984) Natural Convection Radiation Interaction in Boundary Layer Flow over Horizontal Surface. AIAA Journal, 22, 1797-1803. https://doi.org/10.2514/3.8854
[4]
Harutha, A. and Devasena, Y. (2016) MHD Mixed Convection Flow of a Micropolar Fluids through Porous Medium towards a Stagnation, Point on a Vertical Porous Surface. IOSR Journal of Mathematics, 12, 32-37. https://doi.org/10.9790/5728-1204043237
[5]
Hudimoto, B. and Tokuoka, T. (1969) Two Dimensional Shears Flows of Linear Micro Polar Fluids. International Journal of Engineering Science, 7, 515-522. https://doi.org/10.1016/0020-7225(69)90036-6
[6]
Rees, D.A.S. and Pop, I. (1998) Free Convection Boundary Layer Flow of a Micropolar Fluid from a Vertical Flat Plate. IMA Journal of Applied Mathematics, 61, 179-197. https://doi.org/10.1093/imamat/61.2.179
[7]
Elbarbary, E.M.E. (2005) Chebyshev Finite Difference Method for the Solution of Boundary Layer. Applied Mathematics and Computation, 160, 487-498. https://doi.org/10.1016/j.amc.2003.11.016
[8]
Nandhini, E. and Ramya, M. (2018) MHD Free Convection Flow in a Micropolar Fluid past an Inclined Stretching Sheet with Considering Viscous Dissipation and Radiation. International Journal of Scientific Research in Science, Engineering and Technology, 4, Issue1.
[9]
Hassanien, I.A. and Glora, R.S.R. (1990) Heat Transfer to a Micropolar Fluid from a Non-Isothermal Stretching Sheet with Suction and Blowing. Acta Mechanica, 84, 191-199. https://doi.org/10.1007/BF01176097
[10]
Ahmad, K., Ishak, A. and Nazar, R. (2013) Micropolar Fluid Flow and Heat Transfer over a Nonlinearly Stretching Plate with Viscous Dissipation. Mathematical Problems in Engineering, 2013, Article ID: 257161. https://doi.org/10.1155/2013/257161
[11]
Khonsari, M.M. and Brewe, D. (1989) On the Performance of Finite Journal Bearings Lubricated with Micro Polar Fluids. Tribiology Transactions, 32, 155-160. https://doi.org/10.1080/10402008908981874
[12]
Ezzat, M.A. and Abd-Ellal, M.Z. (1997) Free Convection Effects on a Viscoelastic Boundary Layer Flow with One Relaxation Time through a Porous Medium. Journal of Franklin Institute, 334, 685-706. https://doi.org/10.1016/S0016-0032(96)00095-6
[13]
Edlabe, N.T.M. and Mohammed, M.A.A. (2002) Heat and Mass Transfer in Hydrodynamic Flow of the Non-Newtonian Fluid with Heat Source over an Accelerating Surface through a Porous Medium. Chaos, Solitons and Fractals, 13, 907-917. https://doi.org/10.1016/S0960-0779(01)00066-2
[14]
Edlabe, N.T.M. and Ouaf, M.E.M. (2006) Chebyshev Finite Difference Method for Heat and Mass Transfer in a Hydrodynamic Flow of a Micropolar Fluid past a Stretching Surface with Ohmic Heating and Viscous Dissipation. Applied Mathematics and Computation, 177, 561-571. https://doi.org/10.1016/j.amc.2005.07.071
[15]
Aydin, O. and Pop, L. (2007) Natural Convection in a Differentially Heated Enclosure Filled with a Micropolar Fluid. International Journal of Thermal Science, 46, 963-969. https://doi.org/10.1016/j.ijthermalsci.2006.11.018
[16]
Muthu, P., Rathish Kumar, B.V. and Chandra, P. (2008) A Steady of Micropolar Fluid in an Annular Tube with Application to Blood Flow. Journal of Mechanics in Medicine and Biology, 8, 561-576. https://doi.org/10.1142/S0219519408002541
[17]
Glora, R.S.R. (1995) Unsteady Mixed Convection in Micropolar Boundary Layer Flow on a Vertical Plate. Fluid Dynamics Research, 15, 237-250. https://doi.org/10.1016/0169-5983(95)94957-U
[18]
Hsu, T.H. and Wang, S.G. (2000) Mixed Convection of Micropolar Fluids in a Cavity. International Journal of Heat and Mass Transfer, 43, 1563-1572. https://doi.org/10.1016/S0017-9310(99)00242-2
[19]
Lok, Y.Y., Amin, N. and Pop, I. (2006) Unsteady Mixed Convection Flow of a Micropolar Fluid near the Stagnation Point on a Vertical Surface. International Journal of Thermal Science, 45, 1149-1157. https://doi.org/10.1016/j.ijthermalsci.2006.01.015
[20]
Zakaria, M. (2004) Problem in Electromagnetic Free Convection Flow of a Micropolar Fluid with Relaxation Time through a Porous Medium. Applied Mathematics and Computation, 151, 601-613. https://doi.org/10.1016/S0096-3003(03)00365-5
