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

Abstract

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.

Keywords:

• EMHD convective nanofluid flow
• generalized transport laws
• electromagnetic device
• nonlinear porous medium
• zero mass flux condition

Acknowledgments

The corresponding author ‘Nehad Ali Shah' would like to express his sincere thankfulness to the respected reviewers for their appreciated propositions and insightful comments that helped us to enrich meaningfully the present investigation.

Disclosure statement

No potential conflict of interest was reported by the author(s).