Convection

Boundary layer

Physics

Darcy number

Mathematics

Heat transfer

Mechanics

Porosity

Partial differential equation

Porous medium

Rayleigh number

Mathematical analysis

Boundary value problem

Composite material

Darcy's law

Materials science

Nanofluid

Convective heat transfer

Natural convection

Waves in Random and Complex Media

This investigation provides a numerical analysis of electro-magneto-hydrodynamic (EMHD) nanofluid flows past a Riga pattern embedded horizontally in a Darcy-Forchheimer porous medium. An advanced Buongiorno's nanofluid approach is linked physically with Cattaneo-Christov's physical point of view and generalized Fick's law to formulate a more realistic non-homogeneous flow model, in which the convective heating and zero mass flux are chosen as suitable boundary conditions. In the framework of the boundary layer approximations, the governing partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) via suitable similarity transformations, which are solved thereafter using a robust numerical procedure. Indeed, the adopted conservative laws describe reliably the foremost features of EMHD convective nanofluid flows, in which Darcy-Forchheimer's porous forces show a noticeable impact on the momentum boundary layer at a large scale. Besides, it is remarked that Darcy-Forchheimer's and Lorentz's forces strengthen the resulting frictional factor at the Riga surface. Furthermore, a significant enhancement in the wall heat transfer rate can be achieved practically by adjusting adequately the convective heating process and the electromagnetic planar support.

Numerical investigation of EMHD nanofluid flows over a convectively heated riga pattern positioned horizontally in a Darcy-Forchheimer porous medium: application of passive control strategy and generalized transfer laws