An analysis is performed to study the influence of local thermal nonequilibrium
(LTNE) on unsteady MHD laminar boundary layer flow of viscous, incompressible
fluid over a vertical stretching plate embedded in a sparsely packed porous
medium in the presence of heat generation/absorption. The flow in the porous medium
is governed by Brinkman-Forchheimer extended Darcy model. A uniform heat
source or sink is presented in the solid phase. By applying similarity analysis, the
governing partial differential equations are transformed into a set of time dependent
non-linear coupled ordinary differential equations and they are solved numerically by
Runge-Kutta Fehlberg method along with shooting technique. The obtained results
are displayed graphically to illustrate the influence of different physical parameters on
the velocity, temperature profile and heat transfer rate for both fluid and solid phases.
Moreover, the numerical results obtained in this study are compared with the existing
literature in the case of LTE and found that they are in good agreement.