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

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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 parameterRd increases the temperature of the fluid in all the cases considered. Same is the case with temperature ratio parameterθw. The influence of the concerned parameters on the local rate of heat transfer is also displayed with the help of graphs.

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan

    Naveed Ahmed, Umar Khan & Syed Tauseef Mohyud-Din

  2. Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

    Bandar Bin-Mohsin

Authors
  1. Naveed Ahmed

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  2. Umar Khan

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  3. Syed Tauseef Mohyud-Din

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  4. Bandar Bin-Mohsin

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Correspondence toSyed Tauseef Mohyud-Din.

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Ahmed, N., Khan, U., Mohyud-Din, S.T.et al. A finite element investigation of the flow of a Newtonian fluid in dilating and squeezing porous channel under the influence of nonlinear thermal radiation.Neural Comput & Applic29, 501–508 (2018). https://doi.org/10.1007/s00521-016-2463-9

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