The goal of this paper is to provide analytical assessments to a fluid flowing in a porous medium with a non-linear diffusion linked to a degenerate diffusivity. The viscosity term is formulated with an Eyring-Powell law. together with a non-homogeneous diffusion typical of porous medium equations (as known in the theory of partial differential equations). Further. https://safeersappliancers.shop/product-category/belling-bi602g-built-in-a-gas-single-oven-60cm-stainless-steel/