Numerical approach to second law analysis of a dissipative Carreau fluid dynamics over nonlinear stretching sheet

Abstract

Setbacks in engineering systems amid thermal variation and temperature common-cause effects led to disorderliness in working systems. For adequate heat and mass transfer process, minimisation of energy loss, improvement of technological development, et cetera, the present work contributes to the existing literature with the investigation of entropy generation for the combined response of Joule heating, thermal radiation, variable thermal conductivity, quadratic thermal and solutal convection in Carreau fluid motion over an inclined non-linear stretching sheet. An induced flow due to non-uniform stretching characteristics and dissipative heat is assumed. The mathematical systems are formulated, and the numerical solution to the model distributions is approximated via Galerkin weighted residual approach, while the narrow results benchmark the existing studies. This report predicts a reduction of flow and heat mechanism due to convection and magnetisation effect. The higher impact of the magneto-hydrodynamic field and radiation phenomenon optimised the entropy generation rate on the flow surface. More disorderliness is recorded for the shear-thickening fluid compared to the shear-thinning fluid type. The dissipation effect also contributes significantly to more entropy generation.

KEYWORDS:

• Carreau fluid
• Galerkin weighted residual method
• MHD
• non-linear convection
• entropy generation
• non-linear radiation

Acknowledgements

The author acknowledges the anonymous reviewer(s) and the editor for their insightful comments. The great assistance rendered by the family and friends is well appreciated. In particular, the contribution of Dr. A T. Adeosun, Dr. Y. O. Tijani and Miss B. B. . Alabelapo is indeed cherished. I thank you all for your support.

Disclosure statement

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