Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (6): 747-762.doi: https://doi.org/10.1007/s10483-015-1948-6

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Three-dimensional boundary layer flow of Maxwell nanofluid: mathematical model

  

  • 收稿日期:2014-07-20 修回日期:2014-10-23 出版日期:2015-06-01 发布日期:2015-06-01
  • 通讯作者: T. MUHAMMAD E-mail:taseer_muhammad@yahoo.com

 
Three-dimensional boundary layer flow of Maxwell nanofluid: mathematical model

  1. 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, Comsats Institute of Information Technology, Sahiwal 57000, Pakistan
  • Received:2014-07-20 Revised:2014-10-23 Online:2015-06-01 Published:2015-06-01
  • Contact: T. MUHAMMAD E-mail:taseer_muhammad@yahoo.com

摘要:

The present research explores the three-dimensional boundary layer flow of the Maxwell nanofluid. The flow is generated by a bidirectional stretching surface. The mathematical formulation is carried out through a boundary layer approach with the heat source/sink, the Brownian motion, and the thermophoresis effects. The newly developed boundary conditions requiring zero nanoparticle mass flux at the boundary are employed in the flow analysis for the Maxwell fluid. The governing nonlinear boundary layer equations through appropriate transformations are reduced to the coupled nonlinear ordinary differential system. The resulting nonlinear system is solved. Graphs are plotted to examine the effects of various interesting parameters on the non-dimensional velocities, temperature, and concentration fields. The values of the local Nusselt number are computed and examined numerically.

关键词: heat source/sink, three-dimensional flow, nanoparticle, Maxwell fluid

Key words: nanoparticle, heat source/sink, Maxwell fluid, three-dimensional flow

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