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Heat transfer due to a square Darcy porous cavity in the presence of dust particles and thermal radiation effect by applying the thermal non-equilibrium model is investigated numerically in the current paper. The square cavity is maintained at a hot temperature at the left side wall, and the right side wall is maintained at cold temperature. While the bottom and top walls of the cavity are considered adiabatic. The impact of governing physical parameters on the streamlines, isotherms contours for the fluid and dust phases and isotherms for the solid phase are tested and represented through Graphic. In addition, the profiles of the average Nusselt numbers for solid and fluid phases and the total average Nusselt number are presented. The finite difference method is convenient to obtain a numerical analysis of the non-dimensionalized equations via the influence of mass concentration of the dust particles, fluid-particle interaction parameter for velocity, fluid-particle interaction parameter for temperature, Eckert number, radiation parameter, Rayleigh number, modified conductivity ratio, and inter-phase heat transfer coefficient. The results urge that the presence of dust particles leads to reduces the heat transfer rate at the left wall of the enclosure. [ABSTRACT FROM AUTHOR]

The present paper is devoted to the investigation of the influence of the rotation, thermal field, magnetic field and voids on the reflection of a P wave with one relaxation time. The basic governing equations for isotropic and homogeneous generalized thermoelastic half-spaces with voids, rotation and Maxwell’s stress are formulated in the context of the Lord Shulman theory. The boundary conditions at the stress-free thermally insulated surface are satisfied to obtain an algebraic system of four equations in the reflection coefficients of various reflected waves. It is shown that there exist four plane waves: P1, P 2, P3 and P4. In addition, the reflection coefficients from insulated and stress-free surfaces for the incident P wave are obtained. Finally, numerical values of the complex modulus of the reflection coefficients are visualized graphically to display the effects of the rotation, magnetic field, thermal relaxation time and void parameters. [ABSTRACT FROM AUTHOR]