Entropy approach of hydromagnetic Williamson nanofluid flow with Joule heating

Abstract

The current investigation, the flow of a hydromagnetic Nanofluid Williamson over an unsteady via a porous medium while stretching a sheet is being analysed along with the impact of thermal radiation and magnetic field on its flow properties. Slip condition between the nanofluid and stretching sheet is also considered. Appropriate similarity transformations are used for converting into a dimensionless form the governing equations with boundary conditions. The derived conventional differential equation was solved using the method of spectral local linearisation. After completing the numerical simulation, the outcomes are presented through different graphs and tables. The momentum conservation equation used in research papers on Williamson nanofluids, hitherto, was corrected. The effect of Joule heating has been considered in the temperature and entropy generation equations for Nanofluid flow over a stretched sheet by Williamson. The growth in the Weissenburg parameter (We) decreases the velocity profile. However, it increases the concentration and temperature distributions. Higher values of the temperature difference parameter ($\alpha$) are seen to decrease the entropy generated in the nanofluid system. The Reynolds number (Re) and the Brinkman number show the opposite tendency. The results have been validated with existing research and our results are found to be in great agreement.

KEYWORDS:

• Williamson nanofluid flow
• porous media
• slip boundary condition
• Joule heating
• spectral local linearisation method

Disclosure statement

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