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Heat Transfer Analysis of a Williamson Micropolar Nanofluid with Different Flow Controls

Published online by Cambridge University Press:  28 August 2018

M. Muthtamilselvan*
Affiliation:
Department of Mathematics Bharathiar University Tamilnadu, India
E. Ramya
Affiliation:
Department of Mathematics Bharathiar University Tamilnadu, India
D. H. Doh
Affiliation:
Division of Mechanical Engineering College of Engineering Korea Maritime and Ocean University Busan, South Korea
G. R. Cho
Affiliation:
Division of Mechanical Engineering College of Engineering Korea Maritime and Ocean University Busan, South Korea
*
*Corresponding author (muthtamill@yahoo.co.in)
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Abstract

The present model is devoted for the steady stagnation point flow of a Williamson micropolar nanofluid with magneto-hydrodynamics and thermal radiation effects passed over a horizontal porous stretching sheet. The fluid is considered to be gray, absorbing-emitting but non-scattering medium. The Cogley-Vincent-Gilles formulation is adopted to simulate the radiation component of heat transfer. By applying similarity analysis, the governing partial differential equations are transformed into a set of non-linear ordinary differential equations and they are solved by using the bvp4c package in MATLAB. Numerical computations are carried out for various values of the physical parameters. The effects of momentum, microrotation, temperature and nanoparticle volume fraction profiles together with the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number of both active and passive controls on the wall mass flux are graphically presented. The present results are compared with previously obtained solutions and they are in good agreement. Results show that the skin friction is increasing functions of the Williamson parameter in both stretching and shrinking surfaces.

Type
Research Article
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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References

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