Applied Mathematics and Mechanics

, Volume 36, Issue 6, pp 747–762 | Cite as

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

  • T. Hayat
  • T. MuhammadEmail author
  • S. A. Shehzad
  • A. Alsaedi


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.

Key words

three-dimensional flow nanoparticle Maxwell fluid heat source/sink 

Chinese Library Classification


2010 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • T. Hayat
    • 1
    • 2
  • T. Muhammad
    • 1
    Email author
  • S. A. Shehzad
    • 3
  • A. Alsaedi
    • 2
  1. 1.Department of MathematicsQuaid-i-Azam UniversityIslamabadPakistan
  2. 2.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of MathematicsComsats Institute of Information TechnologySahiwalPakistan

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