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Analytical investigation of a Maxwell fluid flow with radiation in an axisymmetric semi-porous channel by parameterized perturbation method

Technical Paper
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Abstract

This analysis investigates the problem of heat transfer for steady flow in a two-dimensional Maxwell fluid between an axisymmetric channel having upper porous wall by incorporating thermal radiation impacts. An analytic solution is obtained for the resulting nonlinear equations using parameterized perturbation method (PPM). For studying the precision and strength of the present finding obtained by PPM, a comparison is presented along with the numerical findings (attained through shooting technique), and they were found to be in excellent agreement. The physical quantities of intersects are investigated including the Reynolds number, Nusselt number, power law index, radiation parameter and Prandtl number. It is observed from present investigation that the absolute value of skin friction coefficient is increased with an increase in Reynolds number. Also, it is evident from these results that magnitude of Nusselt number enhances by an increment in power law index, Prandtl number and Reynolds number. However, it has the reverse behavior for radiation parameter, as it decreases for higher values of radiation parameter.

Keywords

Maxwell fluid Axisymmetric semi-porous channel Thermal radiation Parameterized perturbation method 

Notes

Acknowledgements

We are thankful to the reviewers for their close attention and constructive suggestions to improve the quality of the manuscript.

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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of MathematicsThe Islamia University of BahawalpurBahawalpurPakistan
  2. 2.Department of MathematicsKhwaja Fareed University of Engineering and Information TechnologyRahim Yar KhanPakistan
  3. 3.Department of MathematicsCOMSATS Institute of Information TechnologyIslamabadPakistan

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