Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field

doi:10.1007/s10483-017-2178-8

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (3): 333-342.doi: https://doi.org/10.1007/s10483-017-2178-8

Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field

Xinhui SI, Haozhe LI, Yanan SHEN, Liancun ZHENG

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2016-02-05 修回日期:2016-07-22 出版日期:2017-03-01 发布日期:2017-03-01
通讯作者: Xinhui SI, E-mail:sixinhui_ustb@126.com E-mail:sixinhui_ustb@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11302024), the Fundamental Research Funds for the Central Universities (No. FRF-TP-12-108A), and the Foundation of the China Scholarship Council in 2014 (No. 154201406465041)

Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field

Xinhui SI, Haozhe LI, Yanan SHEN, Liancun ZHENG

School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China

Received:2016-02-05 Revised:2016-07-22 Online:2017-03-01 Published:2017-03-01
Contact: Xinhui SI E-mail:sixinhui_ustb@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11302024), the Fundamental Research Funds for the Central Universities (No. FRF-TP-12-108A), and the Foundation of the China Scholarship Council in 2014 (No. 154201406465041)

摘要/Abstract

摘要：

Flow and heat transfer of a pseudo-plastic power-law fluid over a stretching permeable surface with the magnetic effect is investigated. In the boundary conditions, the nonlinear temperature jump and the velocity slip are considered. Semi-similarity equations are obtained and solved by bvp4c with MATLAB. The problem can be considered as an extension of the previous work done by Mahmoud (Mahmoud, M. A. A. Slip velocity effect on a non-Newtonian power-law fluid over a moving permeable surface with heat generation. Mathematical and Computer Modelling, 54, 1228-1237 (2011)). Efforts are made to discuss the effects of the power-law number, slip velocity, and temperature jump on the dimensionless velocity and temperature distribution.

关键词: variable mass, nonholonomic system, Gibbs-Appell’s equation, integral variational principle, quasi-velocity, varying thermal conductivity, magnetohydrodynamic (MHD), temperature jump, slip velocity, power-law fluid

Abstract:

Key words: variable mass, nonholonomic system, Gibbs-Appell’s equation, integral variational principle, quasi-velocity, magnetohydrodynamic (MHD), power-law fluid, slip velocity, temperature jump, varying thermal conductivity

中图分类号:

O357.1

Xinhui SI, Haozhe LI, Yanan SHEN, Liancun ZHENG. Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 333-342.

参考文献

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Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field

Effects of nonlinear velocity slip and temperature jump on pseudo-plastic power-law fluid over moving permeable surface in presence of magnetic field

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