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The microwave heating of a porous medium with a non-uniform porosity is numerically investigated, based on the proposed numerical model. A variation of porosity of the medium is considered. The generalized non-Darcian model developed takes into account of the presence of a solid drag and the inertial effect. The transient Maxwell’s equations are solved by using the finite difference time domain (FDTD) method to describe the electromagnetic field in the wave guide and medium. The temperature profile and velocity field within a medium are determined by the solution of the momentum, energy and Maxwell’s equations. The coupled non-linear set of these equations are solved using the SIMPLE algorithm. In this work, a detailed parametric study is conducted for a heat transport inside a rectangular enclosure filled with saturated porous medium of constant or variable porosity. The numerical results agree well with the experimental data. Variations in porosity significantly affect the microwave heating process as well as convective flow pattern.