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Heat and mass diffusions for Casson nanofluid flow over a stretching surface with variable viscosity and convective boundary conditions

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Abstract

The principle concern of the present analysis is the inclined magnetohydrodynamic Casson nanofluid flow at a nonlinear stretching plate, considering variable viscosity with slip and convective boundary conditions. Mathematical formulation is developed by assuming boundary layer approach. The leading differential equations modeled by considering similarity transformations and improved numerical BVP4C (MATLAB package) are utilized to calculate the solution. Parametric behavior of several physical constraints, for instance, Casson fluid factor β, Prandtl number Pr, magnetic field factor M, Brownian motion factor NB,nonlinear constraint n, variable viscosity constant θr, inclined parameter γ, Lewis number Le, thermophoresis diffusion factor NT, velocity slip constant k and Biot number δ on velocity, concentration and temperature distributions, is deliberated. Expressions of friction factor, rate of heat and mass transfer are evaluated graphically also in tabular form for different values of parameters. Conclusions are made on the basis of entire investigation, and it is comprehended that fluid velocity is reducing function of all parameters, temperature profile falls down against Prandtl number Pr, while Brownian motion parameter NB, thermophoresis number NT and Biot number δ enhance the temperature of fluid. Concentration profile reduces against Brownian motion parameter NB and Lewis number Le, while it enhances for thermophoresis number NT.

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Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, 44000, Pakistan

    Mair Khan, Amna Shahid & M. Y. Malik

  2. Mirpur University of Science and Technology (MUST), Mirpur, AJK, 10250, Pakistan

    T. Salahuddin

  3. COMSETS University Islamabad, Islamabad, Pakistan

    Muhammad Mushtaq

Authors
  1. Mair Khan
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  2. Amna Shahid
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  3. T. Salahuddin
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  4. M. Y. Malik
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  5. Muhammad Mushtaq
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Correspondence to Mair Khan.

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The corresponding author on behalf of all authors declares “no conflict of interest” with anyone.

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Technical Editor: Cezar Negrao.

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Khan, M., Shahid, A., Salahuddin, T. et al. Heat and mass diffusions for Casson nanofluid flow over a stretching surface with variable viscosity and convective boundary conditions. J Braz. Soc. Mech. Sci. Eng. 40, 533 (2018). https://doi.org/10.1007/s40430-018-1415-y

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  • DOI: https://doi.org/10.1007/s40430-018-1415-y

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