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Thermal radiation and slip effects on MHD stagnation point flow of non-Newtonian nanofluid over a convective stretching surface

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Abstract

The present analysis examines the combine effects of thermal radiation and velocity slip along a convectively nonlinear stretching surface. Moreover, MHD effects are also considered near the stagnation point flow of Casson nanofluid. Slipped effects are considered with the porous medium to reduce the drag reduction at the surface of the sheet. Main structure of the system is based upon the system of partial differential equations attained in the form of momentum, energy, and concentration equations. To determine the similar solution system of PDEs is rehabilitated into the set of nonlinear ordinary differential equations (ODEs) by employing compatible similarity transformation. Important physical parameters are acquired through obtained differential equations. To determine the influence of emerging parameters, resulting set of ODE’s in term of unknown function of velocity, temperature, and concentration are successfully solved via Keller’s box-scheme. All the obtained unknown functions are discussed in detail after plotting the results against each physical parameter. To analyze the behavior at the surface: skin friction, local Nusselt and Sherwood numbers are also illustrated against the velocity ratio parameter A, Brownian motion Nb, thermophoresis Nt, and thermal radiation parameters R. Results obtained from the set of equations described that skin friction is decreasing function of A, and local Nusselt and Sherwood number demonstrate the significant influenced by Brownian motion Nb, thermophoresis Nt, and radiation parameters R.

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Acknowledgements

The second and fourth authors would like to acknowledge and express their gratitude to the United Arab Emirates University, Al Ain, UAE for providing the financial support with Grant No. 31S212-UPAR(9)2015.

The first author is very thankful to University Grants Commission, India, for providing the opportunity to do this research work under UGC–Faculty Development Programme (FDP), India.

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Authors and Affiliations

  1. Department of Mathematics, Osmania University, Hyderabad, Telangana, India

    Prabhakar Besthapu & Shankar Bandari

  2. Department of Electrical Engineering, Bahria University, Islamabad, 44000, Pakistan

    Rizwan Ul Haq

  3. Department of Mathematical Sciences, UAE University, Al Ain, P.O. Box 15551, United Arab Emirates

    Qasem M. Al-Mdallal

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  1. Prabhakar Besthapu
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Correspondence to Rizwan Ul Haq.

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It is declared that there is no actual or potential conflict of interest with mathematical expressions and explanations on mathematical terms including any financial, personal, or other relationships with other people or organizations.

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Besthapu, P., Haq, R.U., Bandari, S. et al. Thermal radiation and slip effects on MHD stagnation point flow of non-Newtonian nanofluid over a convective stretching surface. Neural Comput & Applic 31, 207–217 (2019). https://doi.org/10.1007/s00521-017-2992-x

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