Numerical simulation of Cattaneo–Christov double-diffusion theory with thermal radiation on MHD Eyring–Powell nanofluid towards a stagnation point

Abstract

This paper examines the MHD flow of Eyring–Powell fluid with nanoparticles near the stagnation point. The Cattaneo–Christov double-diffusion theory is viewed in the form of energy and concentration expression. Also, thermal radiation with two boundary conditions is introduced into account. The mathematical current flow problem analysis by the conversion of non-linear partial differential equations (PDEs) into ordinary differential equations (ODEs) is utilised through appropriate transmutation. Furthermore, ODEs are solved numerically through the R–K method along with shooting techniques. Graphical outcomes of pertinent variables on the velocity, temperature and nanoparticles concentration have been investigated. Also, the Skin fraction factor, Nusselt number and Sherwood number have been scrutinised with the help of tables and graphs as well as validate our present outcomes with existing literature. It is noticed that the ratio of relaxation to retardation times reduces the velocity field and associated layer thickness. Temperature decreases when Deborah number, Prandtl number and non-dimensional thermal relaxation time are enhanced. The concentration field is diminished because of non-dimensional solutal relaxation time.

KEYWORDS:

• Cattaneo–Christov
• thermal radiation
• MHD
• Eyring–Powell
• nanofluid

Disclosure statement

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