Study of polymeric liquid between stretching disks with chemical reaction

  • N. Khan
  • M. S. Hashmi
  • Sami Ullah Khan
  • Waqar Adil Syed
Technical Paper

Abstract

An analysis has been carried out to investigate the heat and mass transfer effects in steady axi-symmetric flow of a polymeric liquid (Maxwell fluid) between two infinite stretching disks in the presence of chemical reaction. Particular attention is to compute similarity solution of the governing nonlinear partial differential equations. The series solution of transformed nonlinear ordinary differential equations are computed via homotopy analysis method. The convergence of the developed series solution is also discussed. The quantities of interest like fluid velocity, fluid pressure, temperature, concentration, skin friction coefficient, local Nusselt and local Sherwood numbers are analyzed for the influence of embedded parameters. It is observed that the skin friction coefficient is an increasing function of Deborah number and Reynolds number. It is also observed that effects of stretching parameter on skin friction coefficient at upper and lower disks are opposite. Moreover, the heat transfer rate at lower disk is increases by increasing Deborah number. It is also observed that the surface mass transfer at both disks decreases by increasing Schmidt number.

Keywords

Maxwell fluid Stretching disks Chemical reaction Homotopy analysis method 

Notes

Acknowledgements

We are thankful to the anonymous reviewer for his/her useful comments to improve the earlier version of the paper.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  • N. Khan
    • 1
  • M. S. Hashmi
    • 2
  • Sami Ullah Khan
    • 3
  • Waqar Adil Syed
    • 4
  1. 1.Department of MathematicsThe Islamia University of BahawalpurBahawalpurPakistan
  2. 2.Department of MathematicsThe Govt. Sadiq College Women UniversityBahawalpurPakistan
  3. 3.Department of MathematicsCOMSATS Institute of Information TechnologySahiwalPakistan
  4. 4.Department of PhysicsInternational Islamic UniversityIslamabadPakistan

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