Abstract
The problem of steady, laminar, free convection flow of a particulate suspension over an infinite, permeable, inclined, and isothermal flat plate in the presence of a transverse magnetic field and fluid heat absorption effects is studied numerically. The problem accounts for particulate viscous effects which are absent from most two-phase models. An analytical solution is developed for the particle-phase density distribution and numerical solutions for the velocity and temperature profiles of both phases are obtained by using an implicit and iterative finite-difference method. A parametric study illustrating the influence of the magnetic field, heat absorption effects and particle loading is conducted. The obtained results for velocity, temperature and skin-friction coefficients for both phases as well as the Nusselt number are illustrated graphically to show the features of the solution.
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