Partial Differential Equations in Applied Mathematics (Sep 2024)

Analyzing the influence of magnetic dipole on non-Newtonian fluid flow over a sheet with non-uniform radiation

  • K Ganesh Kumar,
  • N.J. Vidyarani,
  • Mahesh,
  • R. Padmavathi,
  • H.J. Lokesh,
  • D.G. Prakasha,
  • Dilsora Abduvalieva,
  • M. Ijaz Khan

Journal volume & issue
Vol. 11
p. 100752

Abstract

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This study's main goal is to examine the advantages of a two-dimensional Reiner-Philippoff fluid flow via a stretched sheet. Furthermore, radiative heat transmission and magnetic dipole media are taken into account. It is now possible to have a comprehensive understanding of the rheological properties of non-Newtonian fluids by the use of the Reiner-Philippoff fluid, which distinguished the transport mechanisms of the fluid. The boundary layer method is used in the process of developing the model. Through the use of similarity variables, these equations are converted into a two-dimensional model. In order to achieve the numerical answers, the RKF-45 order is used first. A combination of numerical standards and visual representations is used in order to demonstrate them. An analysis of the features of the entangled flow, including the distributions of velocity and temperature, is carried out from a visual standpoint. According to the results of this study, the temperature field gets more prominent with a thicker λ0 and the temperature of the fluid goes down with more γ1. Aside from that, the decrease of hat transfer occurs more often with pseudo-plastic fluids than with Newtonian dilatant fluids.

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