H. A. M. Al-Sharifi ¹, A. R. M. Kasim ¹, M. Z. Salleh ¹, S. Shafie ²

Affiliations
1 Applied and Industrial Mathematics Research Group, Faculty of Industrial Sciences and Technology, University Malaysia Pahang, 26300 UMP Gambang, Pahang, MY
2 Department of Mathematical Sciences, Faculty of Science, University Technology Malaysia, 81310 UTM Skudai, Johor, MY

Abstract

Objectives: The present study investigates the problem of flow and heat transfer on non-Newtonian Jeffrey micropolar fluid numerically. The flow that moving across a stretching sheet has been considered embedded with constant wall temperature. Methods/Statistical Analysis: The suitable similarity transformations are used to transform the governing boundary layer equation into ordinary differential equations. This is very important in order to reduce the complexity of the equation. The numerical results are obtained using Keller box method. Findings: The procedure to validate the present results has been run and the outcomes obtained are outstanding. The results obtained in graphical form show the parameter Deborah number boost the value of fluid velocity. At near the surface, the larger values of Deborah number led to decrease the distribution of micro rotation of fluid but after η > 1.6 the trend has changed oppositely. Application/Improvements: The results from this research give advance understanding on the micro rotational effects toward the non-Newtonian fluid flow.

Keywords

Jeffrey Fluid, Micropolar Fluid, Non-Newtonian, Numerical Solution.

Full Text

   

H. A. M. Al-Sharifi ¹, A. R. M. Kasim ¹, L. A. Aziz ¹, M. Z. Salleh ¹, S. Shafie ²

Affiliations
1 Applied and Industrial Mathematics Research Group, Faculty of Industrial Sciences and Technology, University Malaysia Pahang, Gambang - 26300, Pahang, MY
2 Department of Mathematical Sciences, Faculty of Science, University Technology, Skudai, Johor, MY

Abstract

Objectives: Effects of slip velocity and aligned Magneto hydro-dynamic on Jeffrey fluid which passing across a stretching sheet with Newtonian heating boundary condition are investigated. Methods/Statistical Analysis: Governing partial differential equations are first transformed into ordinary differential equation by applying the similarity transformations before undergo computation process using y bvp4c in MATLAB. Findings: For validation purposes, the present results are comparing with the outcome from previous publications for the case Constant Wall Temperature (CWT) and it shows a very strong agreement on the values of −θ′(0) . From the study, the increasing on the values of magnetic parameter, M drop the fluid velocity for the range value of boundary layer thickness 0<η<3.5. After η > 3.5 , the value of fluid velocity is increasing on the larger magnetic parameter. However, the distribution on temperature of fluid shows an opposite trend as compare with fluid velocity. On the range of 0<η<2.5, the increasing of Deborah number did not give a strong effect on the fluid velocity but at η > 2.5 it evidently reduce the velocity of fluid. The fluid temperature is high at smaller values of Deborah number. The distribution on velocity and temperature of fluid presented in this article are strictly asymptotically fulfilling the boundary conditions which then contribute to the adequate of the present results. Application/Improvements: The results from this project will enhance the knowledge in non-Newtonian fluid problem via mathematical approach.

Keywords

Heat Transfer, Jeffrey Fluid, Magneto Hydrodynamics, Newtonian Heating.

Full Text