Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

doi:10.1007/s10483-015-1896-9

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (1): 69-80.doi: https://doi.org/10.1007/s10483-015-1896-9

Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

T. HAYAT^1,2, T. HUSSAIN³, S. A. SHEHZAD⁴, A. ALSAEDI²

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3. Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad 44000, Pakistan;
4. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

收稿日期:2014-01-12 修回日期:2014-06-18 出版日期:2015-01-01 发布日期:2015-01-01
通讯作者: S. A. SHEHZAD, Professor, Ph.D., E-mail: ali_qau70@yahoo.com E-mail:ali_qau70@yahoo.com

Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

T. HAYAT^1,2, T. HUSSAIN³, S. A. SHEHZAD⁴, A. ALSAEDI²

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3. Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University, Islamabad 44000, Pakistan;
4. Department of Mathematics, COMSATS Institute of Information Technology, Sahiwal 57000, Pakistan

Received:2014-01-12 Revised:2014-06-18 Online:2015-01-01 Published:2015-01-01

摘要/Abstract

摘要：

The two-dimensional boundary layer flow of an Oldroyd-B fluid in the presence of nanoparticles is investigated. Convective heat and mass conditions are considered in the presence of thermal radiation and heat generation. The Brownian motion and thermophoresis effects are retained. The nonlinear partial differential equations are reduced into the ordinary differential equation (ODE) systems. The resulting ODE systems are solved for the series solutions. The results are analyzed for various physical parameters of interest. Numerical values of the local Nusselt and Sherwood numbers are also computed and analyzed.

关键词: Oldroyd-B fluid, heat generation, nanoparticle, convective condition

Key words: convective condition, Oldroyd-B fluid, nanoparticle, heat generation

中图分类号:

O373

T. HAYAT;T. HUSSAIN;S. A. SHEHZAD;A. ALSAEDI. Flow of Oldroyd-B fluid with nanoparticles and thermal radiation[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(1): 69-80.

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Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

Flow of Oldroyd-B fluid with nanoparticles and thermal radiation

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