DARCY FORCHHEIMER FLOW OF WILLIAMSON FLUID PAST A STRETCHING SHEET WITH VARIABLE THERMAL CONDUCTIVITY

Authors

  • Sahin Ahmed Department of Mathematics, Rajiv Gandhi University, Rono Hills, Itanagar, Arunachal Pradesh
  • Bikash Das Mathematics. Department, Rajiv Gandhi University, Arunachal Pradesh, 791112, India

DOI:

https://doi.org/10.52292/j.laar.2024.3102

Keywords:

Entropy, Bejan number, Lorentz force, MHD.

Abstract

The primary objective of this experiment is to examine the motion of molecules of Williamson micropolar fluid moving along a stretchable sheet set in a porous regime with microrotation in presence of magnetic field. The coupled partial differential equations are converted into a system of ODEs using appropriate similarity transformations. To solve the system of ODEs, BVP4C solver has been employed with relative tolerance of . To make sure the present study is stable and convergent, all the outcomes are compared to the earlier findings. The impression of various parameters on velocity, temperature and microrotation profile are illustrated with the help of graph. The graph of entropy generation and skin friction and Nusselt number is also plotted against various governing parameters. Through this investigation it is found that Nusselt number can be increases by regulating the porous parameter and the viscosity of the Williamson fluid. The drag at the surface can be minimized by increasing the strength of magnetic field and Williamson fluid parameter. The implication of this study can be found in industrial field where entropy of the system plays an important role for better performance and stability.

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Published

2024-03-11

Issue

Section

Heat and Mass Transfer