Heat source/sink and Newtonian heating effects on convective micropolar fluid flow over a stretching/shrinking sheet with slip flow model

Heat source/sink and Newtonian heating effects on convective micropolar fluid flow over a stretching/shrinking sheet with slip flow model

Muhammad Kamran

Department of Mathematics and Statistics, Curtin University of Technology, GPO Box U1987, Perth WA 6845 Australia

Corresponding Author Email: 
muhammad.kamran@curtin.edu.au
Page: 
473-482
|
DOI: 
https://doi.org/10.18280/ijht.360212
Received: 
1 November 2017
| |
Accepted: 
28 April 2018
| | Citation

OPEN ACCESS

Abstract: 

The purpose of this study is to analyse the combined effects of the heat generation(source)/ absorption (sink) and Newtonian heating on the mixed convective micropolar fluid flow past over a stretching/shrinking porous sheet. Slip flow model is also taken into account in this investigation. The governing flow behaviour is designed by coupled partial differential equations and then transformed into a system of coupled nonlinear ordinary differential equations with the mixed derivative boundary conditions. A semi-analytical approach named Homotopy Analysis Method (HAM) is applied to solve this transformed system of nonlinear equations. Influences of the pertinent dimensionless parameters on the prescribed velocities and temperature profiles along with the physical quantities are presented in the graphical and tabular illustrations. For special cases, it is found that the obtained solutions are excellent in agreement with the available results. In this study, it is observed that when the sheet stretches or shrinks, the temperature of the micropolar fluid flow increases with an increase in the heat generation and Newtonian heating parameters and it decreases with an increase in the heat absorption parameter and the Prandtl number. This investigation of the heat generation and absorption on the micropolar fluid flow with slip flow effects has shown the useful information which could be helpful for crystal growing in the industry and the processes to polish the artificial heart valves and the internal cavities.

Keywords: 

micropolar fluid, stretching/shrinking sheet, slip flow model, Newtonian heating

1. Introduction
2. Governing Equations
3. Series Solution
4. Results and Discussion
5. Conclusions
Acknowledgement
Nomenclature
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