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Effects of Inclined Magnetic Field and Chemical Reaction on Flow of a Casson Nanofluid with Second Order Velocity Slip and Thermal Slip Over an Exponentially Stretching Sheet

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Abstract

The numerical investigation of the flow of a Casson nanofluid over an exponential stretching sheet with the effects of the inclined magnetic field and chemical reaction is presented. Moreover we considered second order velocity slip and thermal slip. The basic governing partial differential equations are converted into nonlinear ordinary differential equations by employing suitable similarity transformations. The resulting equations are successfully solved by using an implicit finite difference scheme known as Keller-Box method. Comparisons of numerical results have been done with previously published results and found in good agreement. The effects of various non dimensional parameters (magnetic parameter, aligned angle, Casson parameter, second order velocity slip, thermal slip, Prandtl number, Thermophoresis parameter, Brownian motion parameter, Lewis number, chemical reaction parameter) on velocity, temperature and concentration are discussed in detail and presented through graphs. It is observed that the increase in aligned angle decreases the velocity profile. Considerable slip effects are found on velocity and temperature.

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Acknowledgements

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-XII plan), India.

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Authors and Affiliations

  1. Department of Mathematics, Govt Degree College, Peddapalli, Karimnagar, Telangana, India

    Besthapu Prabhakar

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

    Besthapu Prabhakar, Shanker Bandari & Ch. Kishore Kumar

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  1. Besthapu Prabhakar
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Correspondence to Besthapu Prabhakar.

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Prabhakar, B., Bandari, S. & Kishore Kumar, C. Effects of Inclined Magnetic Field and Chemical Reaction on Flow of a Casson Nanofluid with Second Order Velocity Slip and Thermal Slip Over an Exponentially Stretching Sheet. Int. J. Appl. Comput. Math 3, 2967–2985 (2017). https://doi.org/10.1007/s40819-016-0273-5

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