Nonlinear flow development of Darcy-Forchheimer model involving nanomaterials with thermos-physical properties

The purpose of present research proposal is to model and investigate inertia and boundary impacts in flow models of nanomaterials. Flow will be induced by stretching property of a surface of variable thickness. Unlike the Darcy linear relation, the Darcy-Forchheimer-Brinkman expression of nonlinear velocity will be employed to characterize porous medium. Both cases of hydrodynamic and hydro-magnetic fluids will be accounted and compared. Correct formulation for this purpose will be presented in case of hydro-magnetic nanomaterial with rheological characteristics. Heat process for convection condition will be employed. Paradoxes associated with heat and mass forces in Fourier and Ficks laws will be covered through concepts of double diffusion by Cattaneo-Christov theory. Analysis for homogeneous and heterogeneous reactions will be further emphasized. Governing nonlinear problems will be computed for the convergent approximate / numerical solutions. Coefficient of skin friction / Nusselt number will be also computed and discussed. Description of sundry parameters entering into problems statements will be made physically. Comparison and accuracy of present and previous limiting cases will be examined.