Analysis of Tangent Hyperbolic over a Vertical Porous Sheet of Carreau Fluid and Heat Transfer

Authors

  • Hajar F. Ismael Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq
  • Mohd Ezad Hafidz Hafidzuddin Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Muhammad Amin S. Murad Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq
  • Norihan Md Arifin Department of Mathematics, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
  • Hasan Bulut Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey

DOI:

https://doi.org/10.37934/cfdl.15.5.8696

Keywords:

Carreau Fluid, heat transfer, power index, laminar flow, magnetic field

Abstract

The purpose of this study is to investigate the boundary layer of Carreau fluid and heat transfer over an exponentially stretching plate derived in a vertical porous with variable surface thermal flux. The partial differential equations that represent the momentum equation and heat equation are commuted into nonlinear ODEs by applying similarity transformations and results found numerically. The impact of several emerging dimensionless parameters labelled the Weissenberg number (We), the power-law index ( ), Velocity slip ( ), Thermal jump ( ), and Prandtl number ( ) on the velocity profile and heat transfer on the boundary layer are showed in detail. In more detail, also the influence of physical parameters on local skin friction and Sherwood number are studied. The shooting method with the explicit technique is used to find the solution and all results are illustrated graphically and numerically. We noted that by increasing power index, radiation parameter and velocity slip, the velocity profile increases, and the temperature profile decreases. Furthermore, it is deduced that rising the thermal radiation parameter reduces the local Nusselt number.

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Author Biography

Mohd Ezad Hafidz Hafidzuddin, Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia

ezadhafidz@upm.edu.my

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Published

2023-03-16

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