The effects of variable viscosity and thermal conductivity on heat transfer for hydromagnetic flow over a continuous moving porous plate with Ohmic heating

A numerical study of heat transfer from boundary layer flow driven by a continuous moving porous plate is proposed. The flow with electrically fluid due to the plate in the presence of a transverse magnetic field and Ohmic heating was molded as a steady, viscous, and incompressible. Both viscosity and thermal conductivity were variable and considered only a function of temperature. Similar analysis with Chebyshev finite difference method (ChFD) was developed to solve the governing equations for momentum and energy and determine the skin-friction coefficient and heat transfer rate. As the magnetic parameter and variable viscosity parameter increase, the fluid temperature and skin-friction coefficient increase and the fluid velocity and heat transfer rate decrease. The fluid temperature increases and heat transfer rate decreases with an increasing Eckert number and thermal conductivity parameter. The skin-friction coefficient and heat transfer rate increase, whereas the fluid velocity and temperature decrease as the wall suction velocity increase.

[1]  B. C. Sakiadis Boundary‐layer behavior on continuous solid surfaces: II. The boundary layer on a continuous flat surface , 1961 .

[2]  R. J. Goldstein,et al.  Flow and heat transfer in the boundary layer on a continuous moving surface , 1967 .

[3]  Chien-Hsin Chen,et al.  Combined heat and mass transfer in MHD free convection from a vertical surface with Ohmic heating and viscous dissipation , 2004 .

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

[5]  M. Seddeek The effect of variable viscosity on hydromagnetic flow and heat transfer past a continuously moving porous boundary with radiation , 2000 .

[6]  T. C. Chiam Hydromagnetic flow over a surface stretching with a power-law velocity , 1995 .

[7]  B. C. Sakiadis Boundary‐layer behavior on continuous solid surfaces: I. Boundary‐layer equations for two‐dimensional and axisymmetric flow , 1961 .

[8]  Elsayed M. A. Elbashbeshy,et al.  The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface with variable internal heat generation , 2004, Appl. Math. Comput..

[9]  J. C. Slattery,et al.  Momentum, Energy and Mass Transfer in Continua , 1976 .

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

[11]  I. Liu,et al.  A note on heat and mass transfer for a hydromagnetic flow over a stretching sheet , 2005 .

[12]  Nabil T. Eldabe,et al.  Chebyshev finite difference method for heat and mass transfer in a hydromagnetic flow of a micropolar fluid past a stretching surface with Ohmic heating and viscous dissipation , 2006, Appl. Math. Comput..

[13]  Ashok K. Singh,et al.  Hydromagnetic flow and heat transfer past a continuously moving porous boundary , 1996 .

[14]  E. M. Elbarbary,et al.  Chebyshev finite difference method for the effects of variable viscosity and variable thermal conductivity on heat transfer from moving surfaces with radiation , 2004 .