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Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge

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Abstract

Flow over a moving wedge in a nanofluid is considered. Magneto-hydrodynamic effects are incorporated along with the passive control model of nanofluids that also takes into account the Brownian motion and thermophoresis effects. In energy equation, nonlinear radiation is taken into account. The equations governing the flow are transformed into a set of ordinary differential equations by employing suitable similarity transforms. The reduced system of equations is then solved numerically using a well-known Runge–Kutta–Fehlberg method coupled with shooting technique. Influence of parameters involved on velocity, temperature and concentration profiles is highlighted with the help of graphical aid. Expressions for skin friction coefficient, local Nusselt number and Sherwood number are obtained and presented graphically. A comparison between the passive and active control models is also provided with focus on the variations in Nusselt and Sherwood numbers.

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Acknowledgments

Authors are thankful to the anonymous reviewers for the useful comments that helped in improving the quality of the presented work. 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

    Umar Khan, Naveed Ahmed & Syed Tauseef Mohyud-Din

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

    Bandar Bin-Mohsin

Authors
  1. Umar Khan
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  2. Naveed Ahmed
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  3. Syed Tauseef Mohyud-Din
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  4. Bandar Bin-Mohsin
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Correspondence to Umar Khan.

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Khan, U., Ahmed, N., Mohyud-Din, S.T. et al. Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge. Neural Comput & Applic 28, 2041–2050 (2017). https://doi.org/10.1007/s00521-016-2187-x

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