Stagnation-point flow of couple stress fluid with melting heat transfer

doi:10.1007/s10483-013-1661-9

Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (2): 167-176.doi: https://doi.org/10.1007/s10483-013-1661-9

Stagnation-point flow of couple stress fluid with melting heat transfer

T. HAYAT^1,2 M.MUSTAFA³ Z.IQBAL¹ A.ALSAEDI²

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan

收稿日期:2011-11-30 修回日期:2012-08-06 出版日期:2013-02-03 发布日期:2013-01-22
通讯作者: Z. IQBAL, Ph.D., E-mail: zahidiqbalqau@yahoo.com E-mail:zahidiqbalqau@yahoo.com

Stagnation-point flow of couple stress fluid with melting heat transfer

T. HAYAT^1,2, M.MUSTAFA³, Z.IQBAL¹, A.ALSAEDI²

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3. Research Centre for Modeling and Simulation (RCMS), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan

Received:2011-11-30 Revised:2012-08-06 Online:2013-02-03 Published:2013-01-22
Contact: Z. IQBAL, Ph.D., E-mail: zahidiqbalqau@yahoo.com E-mail:zahidiqbalqau@yahoo.com

摘要/Abstract

摘要：

Melting heat transfer in the boundary layer flow of a couple stress fluid over a stretching surface is investigated. The developed differential equations are solved for homotopic solutions. It is observed that the velocity and the boundary layer thickness are decreasing functions of the couple stress fluid parameter. However, the temperature and surface heat transfer increase when the values of the couple stress fluid parameter increase. The velocity and temperature fields increase with an increase in the melting process of the stretching sheet.

关键词: melting heat transfer, stagnation-point flow, singular perturbatiqn, vector elliptic equation, boundary value problem, upper and lower solutions, interior layer, couple stress fluid, series solution

Key words: singular perturbatiqn, vector elliptic equation, boundary value problem, upper and lower solutions, interior layer

T. HAYAT M.MUSTAFA Z.IQBAL A.ALSAEDI. Stagnation-point flow of couple stress fluid with melting heat transfer[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 167-176.

T. HAYAT; M.MUSTAFA; Z.IQBAL; A.ALSAEDI. Stagnation-point flow of couple stress fluid with melting heat transfer[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(2): 167-176.

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Stagnation-point flow of couple stress fluid with melting heat transfer

Stagnation-point flow of couple stress fluid with melting heat transfer

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