Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions

doi:10.1088/1674-1056/25/7/074701

中国物理B ›› 2016, Vol. 25 ›› Issue (7): 74701-074701.doi: 10.1088/1674-1056/25/7/074701

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions

Tasawar Hayat, Ikram Ullah, Taseer Muhammad, Ahmed Alsaedi, Sabir Ali Shehzad

1 Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;
2 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3 Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan

收稿日期:2015-12-07 修回日期:2016-02-17 出版日期:2016-07-05 发布日期:2016-07-05
通讯作者: Taseer Muhammad E-mail:taseer_qau@yahoo.com

Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions

Tasawar Hayat^1,2, Ikram Ullah¹, Taseer Muhammad¹, Ahmed Alsaedi², Sabir Ali Shehzad³

1 Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;
2 Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;
3 Department of Mathematics, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan

Received:2015-12-07 Revised:2016-02-17 Online:2016-07-05 Published:2016-07-05
Contact: Taseer Muhammad E-mail:taseer_qau@yahoo.com

摘要/Abstract

摘要： This article investigates the three-dimensional flow of Powell-Eyring nanofluid with thermophoresis and Brownian motion effects. The energy equation is considered in the presence of thermal radiation. The heat and mass flux conditions are taken into account. Mathematical formulation is carried out through the boundary layer approach. The governing partial differential equations are transformed into the nonlinear ordinary differential equations through suitable variables. The resulting nonlinear ordinary differential equations have been solved for the series solutions. Effects of emerging physical parameters on the temperature and nanoparticles concentration are plotted and discussed. Numerical values of local Nusselt and Sherwood numbers are computed and examined.

关键词: three-dimensional flow, Powell-Eyring fluid, nanoparticles, thermal radiation

Abstract: This article investigates the three-dimensional flow of Powell-Eyring nanofluid with thermophoresis and Brownian motion effects. The energy equation is considered in the presence of thermal radiation. The heat and mass flux conditions are taken into account. Mathematical formulation is carried out through the boundary layer approach. The governing partial differential equations are transformed into the nonlinear ordinary differential equations through suitable variables. The resulting nonlinear ordinary differential equations have been solved for the series solutions. Effects of emerging physical parameters on the temperature and nanoparticles concentration are plotted and discussed. Numerical values of local Nusselt and Sherwood numbers are computed and examined.

Key words: three-dimensional flow, Powell-Eyring fluid, nanoparticles, thermal radiation

中图分类号: (Laminar boundary layers)

47.15.Cb

47.50.-d (Non-Newtonian fluid flows) 47.57.Qk (Rheological aspects) 78.67.Bf (Nanocrystals, nanoparticles, and nanoclusters)

Tasawar Hayat, Ikram Ullah, Taseer Muhammad, Ahmed Alsaedi, Sabir Ali Shehzad. Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions[J]. 中国物理B, 2016, 25(7): 74701-074701.

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Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions

Three-dimensional flow of Powell-Eyring nanofluid with heat and mass flux boundary conditions

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