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Neural Computing and Applications

, Volume 29, Issue 2, pp 501–508 | Cite as

A finite element investigation of the flow of a Newtonian fluid in dilating and squeezing porous channel under the influence of nonlinear thermal radiation

  • Naveed Ahmed
  • Umar Khan
  • Syed Tauseef Mohyud-DinEmail author
  • Bandar Bin-Mohsin
Original Article

Abstract

The influence of nonlinear thermal radiation on the flow of a viscous fluid between two infinite parallel plates is investigated. The lower plate is solid, fixed and heated, while the upper is porous and capable of moving toward or away from the lower plate. The effects of nonlinear thermal radiation are incorporated in the energy equation by using Rosseland approximation. The similarity transformations have been used to obtain a system of ordinary differential equations. A finite element algorithm, known as Galerkin method, has been employed to obtain the solution of the resulting system of differential equations. It is observed that the radiation parameter Rd increases the temperature of the fluid in all the cases considered. Same is the case with temperature ratio parameter θ w . The influence of the concerned parameters on the local rate of heat transfer is also displayed with the help of graphs.

Keywords

Nonlinear thermal radiation Deformable walls Porous channel Heat transfer Numerical solutions 

Notes

Acknowledgments

The authors extend their appreciation to the Deanship of Scientific Research at King Saud University for funding this work through research Group No. RG-1437-019.

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this article.

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Copyright information

© The Natural Computing Applications Forum 2016

Authors and Affiliations

  • Naveed Ahmed
    • 1
  • Umar Khan
    • 1
  • Syed Tauseef Mohyud-Din
    • 1
    Email author
  • Bandar Bin-Mohsin
    • 2
  1. 1.Department of Mathematics, Faculty of SciencesHITEC UniversityTaxila CanttPakistan
  2. 2.Department of Mathematics, College of SciencesKing Saud UniversityRiyadhSaudi Arabia

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