Page 57 - programme book

FD-009
Analysis of Tangent Hyperbolic over a Vertical Porous Sheet of
Carreau fluid and Heat Transfer

2, b)
Hajar F. Ismael 1,5, a) , Mohd Ezad Hafidz Hafidzuddin , Muhammad Amin S. Murad 3, c) ,
Norihan Md Arifin 4,d) and Hasan Bulut 5,e)

1 Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq.
Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia,
2
43400 UPM Serdang, Selangor, Malaysia.
3 Department of Mathematics, College of Science, University of Duhok, Duhok, Iraq,
4 Department of Mathematics and Statistics, Universiti Putra Malaysia,
43400 UPM Serdang, Selangor, Malaysia
5 Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.

a) hajar.ismael@uoz.edu.krd
b) Corresponding author: ezadhafidz@upm.edu.my
c) muhammad.math@oad.ac
d) norihana@upm.edu.my
e) hbulut@firat.edu.tr

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 labeled as the Weissenberg number (We), power-law
index (n), velocity slip (Sf), thermal jump (ST) and Prandtl number (Pr) on the velocity profile and heat
transfer on the boundary layer are shown 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.
It is to notice that the Weissenberg number has different behavior in Carreau fluid compared to other
fluids. The research is relevant to the processing of chemical materials.

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

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