Chebyshev finite-difference method for the effects of Hall and ion-slip currents on magneto-hydrodynamic flow with variable thermal conductivity

2004 ◽  
Vol 82 (9) ◽  
pp. 701-715 ◽  
Author(s):  
E F Elshehawey ◽  
N T Eldabe ◽  
E M Elbarbary ◽  
N S Elgazery

In this paper, the problem of heat transfer to the magneto-hydrodynamic flow of a micropolar, viscous, incompressible, and electrically conducting fluid from an isothermal stretching sheet with suction and blowing through a porous medium under the effects of Hall and ion-slip currents and variable thermal conductivity is studied numerically by using the Chebyshev finite-difference method. The governing fundamental equations on the assumption of a small magnetic Reynolds number are approximated by a system of nonlinear ordinary differential equations. Details of the velocities and temperature fields are presented for the various values of the parameters of the problem, e.g., the magnetic, Hall, ion-slip, porous, thermal conductivity, and surface mass transfer parameters. The numerical results indicate that the velocity and the angular velocity increase as the permeability parameter increases. Also, the temperature decreases as the permeability parameter increases but it increases as the thermal conductivity parameter increases. PACS No.:45.65.+a

2015 ◽  
Vol 12 (06) ◽  
pp. 1550033 ◽  
Author(s):  
M. M. Khader

In this paper, we implement an efficient numerical technique which we call fractional Chebyshev finite difference method (FChFDM). The fractional derivatives are presented in terms of Caputo sense. The algorithm is based on a combination of the useful properties of Chebyshev polynomials approximation and finite difference method. The proposed technique is based on using matrix operator expressions which applies to the differential terms. The operational matrix method is derived in our approach in order to approximate the fractional derivatives. This operational matrix method can be regarded as a nonuniform finite difference scheme. The error bound for the fractional derivatives is introduced. We used the introduced technique to solve numerically the fractional-order delay BVPs. The application of the proposed method to introduced problem leads to algebraic systems which can be solved by an appropriate numerical method. Several numerical examples are provided to confirm the accuracy and the effectiveness of the proposed method.


Sign in / Sign up

Export Citation Format

Share Document