MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption

doi:10.1007/s10483-012-1576-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (5): 631-648.doi: https://doi.org/10.1007/s10483-012-1576-6

MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption

T. HAYAT^1,2, M. HUSSAIN¹, A. A. HENDI², S. NADEEM¹

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Physics, Faculty of Science, King Saud University, Riyadh 11321, Saudi Arabia

收稿日期:2010-12-03 修回日期:2011-12-29 出版日期:2012-05-10 发布日期:2012-05-10
通讯作者: M. HUSSAIN, Professor, Ph.D., E-mail: majid_gul@yahoo.com E-mail:majid_gul@yahoo.com
基金资助:
Project supported by the Higher Education Commission (HEC) of Pakistan (No. 106-1396-Ps6-004)

MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption

T. HAYAT^1,2, ¹, M. HUSSAIN², A. A. HENDI¹

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Physics, Faculty of Science, King Saud University, Riyadh 11321, Saudi Arabia

Received:2010-12-03 Revised:2011-12-29 Online:2012-05-10 Published:2012-05-10
Contact: M. HUSSAIN, Professor, Ph.D., E-mail: majid_gul@yahoo.com E-mail:majid_gul@yahoo.com
Supported by:
Project supported by the Higher Education Commission (HEC) of Pakistan (No. 106-1396-Ps6-004)

摘要/Abstract

摘要： The magnetohydrodynamic (MHD) stagnation point flow of micropolar fluids towards a heated shrinking surface is analyzed. The effects of viscous dissipation and internal heat generation/absorption are taken into account. Two explicit cases, i.e., the prescribed surface temperature (PST) and the prescribed heat flux (PHF), are discussed. The boundary layer flow and energy equations are solved by employing the homotopy analysis method. The quantities of physical interest are examined through the presentation of plots/tabulated values. It is noticed that the existence of the solutions for high shrinking parameters is associated closely with the applied magnetic field.

Abstract: The magnetohydrodynamic (MHD) stagnation point flow of micropolar fluids towards a heated shrinking surface is analyzed. The effects of viscous dissipation and internal heat generation/absorption are taken into account. Two explicit cases, i.e., the prescribed surface temperature (PST) and the prescribed heat flux (PHF), are discussed. The boundary layer flow and energy equations are solved by employing the homotopy analysis method. The quantities of physical interest are examined through the presentation of plots/tabulated values. It is noticed that the existence of the solutions for high shrinking parameters is associated closely with the applied magnetic field.

中图分类号:

O361.3

T. HAYAT;M. HUSSAIN;A. A. HENDI;S. NADEEM. MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(5): 631-648.

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MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption

MHD stagnation point flow towards heated shrinking surface subjected to heat generation/absorption

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