Interaction of magneto-nanoparticles in Williamson fluid flow over convective oscillatory moving surface

  • Sami Ullah Khan
  • S. A. Shehzad
  • N. Ali
Technical Paper


The paper addresses the problem of Williamson nanoliquid flow over an oscillatory stretching sheet. The effects of heat source/sink are initiated in the energy equation. The convective conditions at boundary are introduced to examine the mass and heat transport phenomenon. A set of appropriate variables are introduced to reduce number of independent variables in the governing equations. Analytic solutions by homotopic procedure are derived for coupled non-linear differential equations corresponding to non-Newtonian liquid. The interesting results of the problem are interpreted both from theoretical and practical aspects. The results indicate that heat transfer enhancement is possible with insertion of nanoparticles.


Williamson fluid Oscillatory stretching sheet Convective boundary conditions Homotopy analysis method 



We are thankful to the anonymous reviewers for their useful comments to improve the earlier version of the paper.


There are no funders to report for this submission.

Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan
  2. 2.Department of Mathematics and StatisticsInternational Islamic UniversityIslamabadPakistan

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