Entropy generation on MHD Jeffrey nanofluid over a stretching sheet with nonlinear thermal radiation using spectral quasilinearisation method

ABSTRACT

This paper deals with the analysis of entropy generation for steady laminar two-dimensional convective magnetohydrodynamic Jeffrey nanofluid flow, heat and mass transfer over a linear stretching sheet in the presence of nonlinear thermal radiation. Brownian motion and thermophoresis effects of Brownian motion are considered. Continuity, momentum, energy and concentration equations of boundary layer are transformed into three coupled nonlinear ordinary differential equations (ODEs) with the help of similarity transformations. Then these nonlinear coupled ordinary differential equations are solved numerically by spectral quasilinearisation method (SQLM). The effects of various controlling parameters are compared with the published results. All important results are graphically presented in order to analyse the impact of various parameters such as Prandtl number, thermophoresis parameter, thermal radiation parameter, temperature ratio parameter, Brinkman number, magnetic parameter, viscous and Ohmic dissipations, and Reynolds number on velocity, temperature, nanoparticles volume fraction, entropy generation, Bejan number. It is found that the velocity and entropy generation profiles increase with Deborah number. Also, there is increase in the temperature profile with Brownian motion parameter, whereas reverse  effect is observed on the entropy generation profile and the Bejan number profile decrease for both magnetic and Brownian motion parameters in the neighbourhood of the sheet.

Keywords:

• Entropy generation
• magnetohydrodynamic
• nonlinear thermal radiation
• Jeffrey nanofluid
• spectral quasilinearisation method

Disclosure statement

No potential conflict of interest was reported by the authors.