Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

doi:10.1007/s10483-016-2088-6

Applied Mathematics and Mechanics (English Edition) ›› 2016, Vol. 37 ›› Issue (6): 761-768.doi: https://doi.org/10.1007/s10483-016-2088-6

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

S. A. SHEHZAD¹, F. M. ABBASI², T. HAYAT^3,4, B. AHMAD⁴

1. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan;
2. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
4. NAAM Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2015-10-11 修回日期:2016-02-17 出版日期:2016-06-01 发布日期:2016-06-01
通讯作者: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

S. A. SHEHZAD¹, F. M. ABBASI², T. HAYAT^3,4, B. AHMAD⁴

1. Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan;
2. Department of Mathematics, Comsats Institute of Information Technology, Islamabad 44000, Pakistan;
3. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
4. NAAM Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2015-10-11 Revised:2016-02-17 Online:2016-06-01 Published:2016-06-01
Contact: S. A. SHEHZAD E-mail:ali_qau70@yahoo.com

摘要/Abstract

摘要：

The Cattaneo-Christov heat flux in the two-dimensional (2D) flow of a third-grade fluid towards an exponentially stretching sheet is investigated. The energy equation is considered through thermal relaxation. Similarity transformations are accounted to obtain the ordinary differential systems. The converted non-dimensional equations are solved for the series solutions. The convergence analysis of the computed solutions is reported. The graphical results of the velocity and temperature profiles are plotted and elaborated in detail. The results show that the thermal relaxation enhances the temper-ature gradient while reduces the temperature profile.

关键词: steady flow, third-grade fluid, exponentially stretching sheet, Cattaneo-Christov heat flux

Abstract:

Key words: steady flow, exponentially stretching sheet, third-grade fluid, Cattaneo-Christov heat flux

中图分类号:

76A05

S. A. SHEHZAD, F. M. ABBASI, T. HAYAT, B. AHMAD. Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet[J]. Applied Mathematics and Mechanics (English Edition), 2016, 37(6): 761-768.

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Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

Cattaneo-Christov heat flux model for third-grade fluid flow towards exponentially stretching sheet

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