Numerical Solutions for Convective Boundary Layer Flow of Micropolar Jeffrey Fluid with Prescribe Wall Temperature

Noraihan Afiqah Rawi; Nor Athirah Mohd Zin; Asma Khalid; Abdul Rahman Mohd Kasim; Zaiton Mat Isa; Sharidan Shafie

doi:10.22342/jims.26.3.553.286-298

Noraihan Afiqah Rawi ⁽¹⁾ , Nor Athirah Mohd Zin ⁽²⁾ , Asma Khalid ⁽³⁾ , Abdul Rahman Mohd Kasim ⁽⁴⁾ , Zaiton Mat Isa ⁽⁵⁾ , Sharidan Shafie ⁽⁶⁾

(1) Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia, Malaysia,

(2) Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia, Malaysia,

(3) Department of Mathematics, SBK Women’s University, Quetta 87300, Pakistan, Pakistan,

(4) Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia., Malaysia,

(5) Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia, Malaysia,

(6) Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia, Malaysia

https://doi.org/10.22342/jims.26.3.553.286-298

Issue
VOLUME 26 NUMBER 3 (NOVEMBER 2020)

Submitted
July 14, 2017

Accepted
July 3, 2019

Published
November 5, 2020

Keywords:

Boundary layer flow, Micropolar Jeffrey fluid, Numerical solution.

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Abstract

The steady two dimensional convective boundary layer flow of micropolar Jeffrey fluid past a permeable stretching sheet is studied in this paper. The governing boundary layer equation in the form of partial differential equations are transformed into nonlinear coupled ordinary differential equations and solved numerically using an implicit finite-difference scheme known as Keller-box method. The effects of Prandtl number, Deborah number, and material parameter with the boundary condition for microrotation, n = 0 (strong concentration of microelements) on the velocity, microrotation, temperature profiles as well as the skin friction and heat transfer coefficients are presented and discussed. An excellent agreement is observed between the present and earlier published results for some special cases. The results revealed that, the effect of Deborah number and stretching parameter are increased the heat transfer coefficient while the opposite trend is observed for the effects of material and velocity slip parameters. It was also observed that, the values of skin friction increased with the increment on the values of all studied parameters.

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Authors

Noraihan Afiqah Rawi

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

Nor Athirah Mohd Zin

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

Asma Khalid

Department of Mathematics, SBK Women’s University, Quetta 87300, Pakistan

Abdul Rahman Mohd Kasim

Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Kuantan, Pahang, Malaysia.

Zaiton Mat Isa

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

Sharidan Shafie

Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia

sharidan@utm.my (Primary Contact)

Rawi, N. A., Mohd Zin, N. A., Khalid, A., Mohd Kasim, A. R., Mat Isa, Z., & Shafie, S. (2020). Numerical Solutions for Convective Boundary Layer Flow of Micropolar Jeffrey Fluid with Prescribe Wall Temperature. Journal of the Indonesian Mathematical Society, 26(3), 286–298. https://doi.org/10.22342/jims.26.3.553.286-298