Abstract:
The conjugate effects of temperature dependent thermal conductivity on
Magnetohydrodynamic free convection flow along a vertical flat plate with heat
generation and pressure work have been investigated. The governing equations with
associated boundary conditions for this phenomenon are converted to dimensionless
form using suitable transformations, the governing equations containing the equation of
continuity, momentum and energy. The transformed non-linear system of partial
differential equations is then solved using the implicit finite difference method with H.
B. Keller (1978)–box scheme. FORTRAN 90 is used to perform computational job and
the post processing software TECHPLOT has been used to display the numerical results
graphically. Numerical results of the velocity profiles, temperature profiles, skin friction
co-efficient and surface temperature distribution for different values of the magnetic
parameter M, Prandtl number Pr, thermal conductivity variation parameter γ, heat
generation parameter Q and pressure work parameter ε are presented graphically.
Detailed discussion is given for the effects of the aforementioned parameters.
