Some generalized results for Maxwell fluid flow over porous oscillatory surface with modified Fourier and Fick’s theories

  • Sami Ullah Khan
  • S. A. ShehzadEmail author
  • N. Ali
  • M. N. Bashir
Technical Paper


This study intends to elaborate heat and mass transportation characteristics in unsteady flow of non-Newtonian fluid caused by oscillatory surface. The rheological behavior of non-Newtonian fluid is addressed by using Maxwell model. Further, heat transportation is characterized through consideration of Cattaneo–Christov theory of heat diffusion. Secondly, the generalized Fick’s law is implemented for investigation of mass transfer. The independent variables in the governing expressions are decreased with suitable transformations. The homotopic procedure is adopted for the solutions of well-defined problem. The validity of obtained solution is verified in limiting case. The graphical explanations for both linear and oscillatory stretching surface are presented. The comparison of \(f^{{\prime \prime }} (0,\tau )\) with proposed results for linear stretching surface is recovered. Furthermore, the numerical values of flow feature parameters on local Nusselt and local Sherwood numbers are also highlighted and expressed in tabular form.


Maxwell fluid Fourier’s law Fick’s law Cattaneo–Christov Oscillatory stretching surface 



We are grateful to the editor and 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

  • Sami Ullah Khan
    • 1
  • S. A. Shehzad
    • 1
    Email author
  • N. Ali
    • 2
  • M. N. Bashir
    • 1
  1. 1.Department of MathematicsCOMSATS University IslamabadSahiwalPakistan
  2. 2.Department of Mathematics and StatisticsInternational Islamic UniversityIslamabadPakistan

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