Effect of Magnetic field on Herschel-Bulkley fluid through multiple stenoses

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Authors :

K.Maruthi Prasada,* R. Bhuvanavijayab and C. Uma Devic

Author Address :

aDepartment of Mathematics,GITAM University, Hyderabad Campus, Telangana, India
bDepartment of Mathematics,JNTU College of Engineering, Anantapur, A.P, India.
c Department of Mathematics, TKR College of Engineering, Hyderabad, Telangana, India.

*Corresponding author.

Abstract :

A mathematical model for electrically conducting flow of Herschel-Bulkley fluid through a uniform tube of multiple stenoses has been studied. Analytical solutions of resistance to the flow and wall shear stress have been calculated. It is found that the resistance to the flow increases with the heights of the stenoses, power law index, volumetric flow rate, radius of the plug core-region and yield stress, but decreases with induced magnetic field and shear stress. It is also observed that the wall shear stress is increasing with the heights of the stenoses and radius of the plug core-region.

Keywords :

Multiple stenoses, Herschel-Bulkley fluid, Magnetic field.

DOI :

Article Info :

Received : September 22, 2014; Accepted : May 14, 2015.