Numerical Study of Micropolar Fluid Flow Past an Impervious Sphere

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Abstract:

The numerical study of axi-symmetric, steady flow of an incompressible micropolar fluid past an impervious sphere is presented by assuming uniform flow far away from the sphere. The continuity, linear and angular momentum equations are considered for incompressible micropolar fluid in accordance with Eringen. The governing equations of the physical problem are transformed to ordinary differential equation with variable co-efficient by using similarity transformation method. The obtained differential equation is then solved numerically by assuming the shooting technique. The effect of coupling and coupling stress parameter on the properties of the fluid flow is studied and demonstrated by graphs.

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344-349

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October 2018

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[1] H. Hayakawa , Slow viscous flows in micropolar fluids, Phys. Rev. E61 (2000) 5477-5492.

DOI: 10.1103/physreve.61.5477

Google Scholar

[2] D. Srinivasacharya, and I. Rajyalakshmi, Creeping flow of micropolar fluid past a porous sphere, Appl. Math. and Computation. 153 (2004) 843-854.

DOI: 10.1016/s0096-3003(03)00681-7

Google Scholar

[3] A. Moosaie, and G. Atefi, Slow motion of a rotating circular cylinder through a micropolar fluid, Arch. Mech. 60(3) (2008) 199-220.

Google Scholar

[4] D. Srinivasacharya, and M. Shiferaw, Numerical solution to the MHD flow of micropolar fluid between two concentric porous cylinders, Int. J. Appl. Meth and Mech. 4(2) (2008) 77-86.

DOI: 10.1615/interjfluidmechres.v35.i4.60

Google Scholar

[5] H.H. Sherief, M.S. Faltas, and E.A. Ashmawy, Axi-symmetric translational motion of an arbitrary solid prolate body in micropolar fluid, Fluid Dynamics Research. 42(6) (2010) 065504.

DOI: 10.1088/0169-5983/42/6/065504

Google Scholar

[6] D.V. Jayalkshmamma, P. A. Dinesh, M. Sankar , and D.V. Chandrashekhar, Stokes Flow of Micropolar Fluid Past a Solid Sphere, IJRRAMC. 1(6) (2011) 1-8.

Google Scholar

[7] M. Ashraf, N. Jameel, and K. Ali, MHD non- Newtonian micropolar fluid flow and heat transfer in channel with stretching walls, Applied Mathematics and Mechanics. 34(10) (2013) 1263-1276.

DOI: 10.1007/s10483-013-1743-7

Google Scholar

[8] M. Fakour, A. Vahabzadeh and D. D. Ganji, Analytical study of micropolar fluid flow and heat transfer in a channel with permeable walls, Journal of Molecular Liquids. 204 (2015) 198-204.

DOI: 10.1016/j.molliq.2015.01.040

Google Scholar

[9] A.C. Eringen, Theory of micropolar fluids, J. Mat. Mech. 16 (1966) 1.

Google Scholar

[10] D.V. Jayalakshmamma, P. A. Dinesh, M. Sankar, and D.V. Chandrashekhar, Numerical study for flow past an impermeable sphere, IJAMM. 9(2) (2013) 69-79.

Google Scholar