Chebyshev finite difference method for MHD flow of a micropolar fluid past a stretching sheet with heat transfer

In this paper, the problem of heat transfer to MHD flow of a micropolar fluid from a stretching sheet with suction and blowing through a porous medium is studied numerically by using Chebyshev finite difference method (ChFD). A similarity solution to governing momentum, angular momentum and energy equations is derived. The effects of surface mass transfer, Prandtl number, magnetic field and porous medium on the velocities and temperature profiles have been studied. The numerical results indicate that, the velocity and the angular velocity increase as the permeability parameter increases but they decrease as the magnetic field increases. Also, the temperature decreases as the permeability parameter increases but it increases as the magnetic field increases.

[1]  I. A. Hassanien,et al.  Heat transfer to a micropolar fluid from a non-isothermal stretching sheet with suction and blowing , 1990 .

[2]  D. Gottlieb,et al.  Numerical analysis of spectral methods : theory and applications , 1977 .

[3]  T. A. Zang,et al.  Spectral Methods for Partial Differential Equations , 1984 .

[4]  I. A. Hassanien.  Boundary layer flow and heat transfer on a continuous accelerated sheet extruded in an ambient micropolar fluid , 1998 .

[5]  Elsayed M. E. Elbarbary,et al.  Chebyshev finite difference approximation for the boundary value problems , 2003, Appl. Math. Comput..

[6]  M. Seddeek,et al.  Effects of Hall and ion–slip currents on magneto–micropolar fluid and heat transfer over a non–isothermal stretching sheet with suction and blowing , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  I. A. Hassanien,et al.  Mixed convection boundary layer flow of a micropolar fluid on a horizontal flat plate with power law variation in surface temperature , 2000 .

[8]  I. A. Hassanien,et al.  Chebyshev solution of laminar boundary layer flow , 1990 .

[9]  A. Eringen,et al.  THEORY OF MICROPOLAR FLUIDS , 1966 .

[10]  A. Cemal Eringen,et al.  Theory of thermomicrofluids , 1972 .

[11]  M. Seddeek.  Flow of a magneto-micropolar fluid past a continuously moving plate , 2003 .

[12]  L. Fox,et al.  Chebyshev polynomials in numerical analysis , 1970 .

[13]  Elsayed M. E. Elbarbary.  Chebyshev finite difference method for the solution of boundary-layer equations , 2005, Appl. Math. Comput..

[14]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .