Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

doi:10.1007/s10483-015-1977-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (9): 1131-1146.doi: https://doi.org/10.1007/s10483-015-1977-6

Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

Jing ZHU¹, Liu ZHENG¹, Liancun ZHENG¹, Xinxin ZHANG²

1. School of Mathematica and Physics, University of Science and Technology Beijing, Beijing 100083, China;
2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

收稿日期:2014-09-16 修回日期:2015-01-21 出版日期:2015-09-01 发布日期:2015-09-01
通讯作者: Jing ZHU E-mail:zhujing@ustb.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Nos. 51276014 and 51476191) and the Fundamental Research Funds for the Central Universities (No. FRF-BR-12-004)

Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

Jing ZHU¹, Liu ZHENG¹, Liancun ZHENG¹, Xinxin ZHANG²

1. School of Mathematica and Physics, University of Science and Technology Beijing, Beijing 100083, China;
2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China

Received:2014-09-16 Revised:2015-01-21 Online:2015-09-01 Published:2015-09-01
Contact: Jing ZHU E-mail:zhujing@ustb.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Nos. 51276014 and 51476191) and the Fundamental Research Funds for the Central Universities (No. FRF-BR-12-004)

摘要/Abstract

摘要：

The effects of the second-order velocity slip and temperature jump boundary conditions on the magnetohydrodynamic (MHD) flow and heat transfer in the presence of nanoparticle fractions are investigated. In the modeling of the water-based nanofluids containing Cu and Al₂O₃, the effects of the Brownian motion, thermophoresis, and thermal radiation are considered. The governing boundary layer equations are transformed into a system of nonlinear differential equations, and the analytical approximations of the solutions are derived by the homotopy analysis method (HAM). The reliability and efficiency of the HAM solutions are verified by the residual errors and the numerical results in the literature. Moreover, the effects of the physical factors on the flow and heat transfer are discussed graphically.

关键词: homotopy analysis method (HAM), velocity slip, magnetohydrodynamic (MHD) flow, nanofluid, temperature jump, heat and mass transfer

Abstract:

Key words: temperature jump, homotopy analysis method (HAM), heat and mass transfer, velocity slip, magnetohydrodynamic (MHD) flow, nanofluid

中图分类号:

O241.81

Jing ZHU, Liu ZHENG, Liancun ZHENG, Xinxin ZHANG. Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(9): 1131-1146.

参考文献

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Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

Second-order slip MHD flow and heat transfer of nanofluids with thermal radiation and chemical reaction

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