Effect of thermal radiation and nth order chemical reaction on non-Darcian mixed convective MHD nanofluid flow with non-uniform heat source/sink

Abstract

The present perusal is to scrutinize the consequences of free-forced convective heat-mass transportation and $n\text{th}$ order chemical reaction on MHD, non-Darcian, incompressible nanofluid fluid flow through an extended lamina, immersed in a permeable medium along with an external constant magnetic field. The fluid flow governing equations (PDEs) has been transformed into a system of nonlinear ODEs with the help of appropriate similarity transformation, and then solved numerically by using SQLM (Spectral quasilinearization method) method. Solution error for temperature and concentration profile against radiation parameter, Brownian motion parameter, and Hartman number also has been depicted diagrammatically. The graphical representation shows that the Hartman number, Brownian motion parameter, and chemical reaction parameter decline in velocity. While, the thermal boundary layer enhances with an enhancement of the Hartman number, Brownian motion parameter, radiation parameter, and chemical reaction parameter. Generation of entropy increases with the Brinkman number, Reynolds number, and Hartman number in the vicinity of the stretching lamina. Brinkman number and Reynolds number reduce the Bejan number. For the engineering interest Skin-friction, the local Nusselt number, and local Sherwood number also have been calculated. Impacts of pertinent parameters on the skin friction, Nusselt number, and Sherwood number are examined graphically and also numerically.

KEYWORDS:

• Mixed convection
• nanofluid
• chemical reaction
• MHD
• non-uniform heat source/sink
• SQLM

Disclosure statement

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