Multiple slip effects on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface

Multiple slip effects on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface

Shalini JainAmit Parmar

Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan 302026, India

Corresponding Author Email:
Amit.198631@gmail.com
Page:
585-594
|
DOI:
https://doi.org/10.18280/ijht.360222
10 August 2017
|
Accepted:
14 May 2018
|
Published:
30 June 2018
| Citation

OPEN ACCESS

Abstract:

In this paper, we have investigated the effects of multiple slip on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface. We have considered first and second order velocity slip, non-linear radiation, non-uniform heat source and non-linear chemical reaction. The analysis is carried out numerically for the momentum, heat and mass equations by solving the bvp4c MATLAB solver. The physical features of non-dimensional Casson fluid parameter, Schmidt number, Eckert number, variable radiation parameter, porosity parameter, variable heat source parameter, Prandtl number, Skin friction coefficient, local Nusselt number and local Sherwood number of velocity, temperature, volume fraction have been discussed and depicted by the graphs and tables. The θ and ϕ profiles were uplifted with the increment of the β, M and Kp parameters on a suction and melting surface whereas the opposite behavior observed on f’ profiles and the f’ profile and momentum boundary layer thickness was depressed with the increment of the L1 and L2 parameters under a suction and a melting surface whereas the reverse behavior observed on θ and ϕ profiles. The impact of various physical parameters of melting surface and porous surface are obtained and observed that the effect of melting surface is higher than porous surface.

Keywords:

non-linear radiation, non-linear heat source, melting surface, permeable surface, Casson fluid

1. Introduction
2. Mathematical Formulation
3. Results and Discussion
4. Conclusion
Nomenclature
References

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