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Effects of nonlinear Rosseland thermal radiation on MHD steady wall jet flow

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Abstract

Analysis of wall jet flow in two dimensions through a slot is explored with magneto-hydrodynamic effects. The nonlinear Rosseland approximation is also taken into account. By using the similarity solutions, the governing equations are transformed into ordinary differential equations. A numerical solution of the problem is obtained by utilizing Runge–Kutta–Fehlberg method coupled with shooting method. Graphical representations are also made for useful analysis of the problem. The value of temperature parameter θ w > 1 is considered for the nonlinear radiation, and it has been observed that magnetic parameter plays an important role in normalizing the velocity profile and reducing the wall heat transfer. Also, it was found that radiation supported the temperature profile in a way that for incremental values of radiation parameter, we have observed an increase in thermal boundary layer thickness. Also, the Nusselt number increases for higher value of radiation parameter. Also, the rate of heat transfer increases for the fluid having high value of Prandtl number.

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Acknowledgments

The authors are highly grateful to the unknown referees for their highly valuable comments which proved very effective in improving the quality of the article. This project was supported by King Saud University, Deanship of Scientific Research, College of Sciences Research Center.

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Authors and Affiliations

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

    Syed Tauseef Mohyud-Din & Zulfiqar Ali Zaidi

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

    Bandar Bin-Mohsin

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  1. Syed Tauseef Mohyud-Din
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  2. Zulfiqar Ali Zaidi
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  3. Bandar Bin-Mohsin
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Correspondence to Syed Tauseef Mohyud-Din.

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Mohyud-Din, S.T., Zaidi, Z.A. & Bin-Mohsin, B. Effects of nonlinear Rosseland thermal radiation on MHD steady wall jet flow. Neural Comput & Applic 28 (Suppl 1), 749–754 (2017). https://doi.org/10.1007/s00521-016-2399-0

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  • DOI: https://doi.org/10.1007/s00521-016-2399-0

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