Flow and heat transfer over hyperbolic stretching sheets

doi:10.1007/s10483-012-1562-6

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (4): 445-454.doi: https://doi.org/10.1007/s10483-012-1562-6

Flow and heat transfer over hyperbolic stretching sheets

A. AHMAD¹, S. ASGHAR^1,2

1. COMSATS Institute of Information Technology, Islamabad, Pakistan;
2. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

收稿日期:2011-06-22 修回日期:2011-11-24 出版日期:2012-04-15 发布日期:2012-04-15
通讯作者: A. AHMAD, Ph. D., E-mail: adeelahmed@comsats.edu.pk E-mail:adeelahmed@comsats.edu.pk
基金资助:
Project supported by the CIIT Research Grant Program of COMSATS Institute of Information Technology of Pakistan (No. 16-69/CRGP/CIIT/IBD/10/711)

Flow and heat transfer over hyperbolic stretching sheets

A. AHMAD¹, S. ASGHAR^1,2

1. COMSATS Institute of Information Technology, Islamabad, Pakistan;
2. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

Received:2011-06-22 Revised:2011-11-24 Online:2012-04-15 Published:2012-04-15
Contact: A. AHMAD, Ph. D., E-mail: adeelahmed@comsats.edu.pk E-mail:adeelahmed@comsats.edu.pk
Supported by:
Project supported by the CIIT Research Grant Program of COMSATS Institute of Information Technology of Pakistan (No. 16-69/CRGP/CIIT/IBD/10/711)

摘要/Abstract

摘要： The boundary layer flow and heat transfer analysis of an incompressible viscous fluid for a hyperbolically stretching sheet is presented. The analytical and numerical results are obtained by a series expansion method and a local non-similarity (LNS) method, respectively. The analytical and numerical results for the skin friction and the Nusselt number are calculated and compared with each other. The significant observation is that the momentum and the thermal boundary layer thickness decrease as the distance from the leading edge increases. The well-known solution of linear stretching is found as the leading order solution for the hyperbolic stretching.

Abstract: The boundary layer flow and heat transfer analysis of an incompressible viscous fluid for a hyperbolically stretching sheet is presented. The analytical and numerical results are obtained by a series expansion method and a local non-similarity (LNS) method, respectively. The analytical and numerical results for the skin friction and the Nusselt number are calculated and compared with each other. The significant observation is that the momentum and the thermal boundary layer thickness decrease as the distance from the leading edge increases. The well-known solution of linear stretching is found as the leading order solution for the hyperbolic stretching.

中图分类号:

O357.1

A. AHMAD;S. ASGHAR. Flow and heat transfer over hyperbolic stretching sheets[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(4): 445-454.

参考文献

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Flow and heat transfer over hyperbolic stretching sheets

Flow and heat transfer over hyperbolic stretching sheets

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