On the Study of Magneto-Hydrodynamic Non-Newtonian Fluid Flow throughout Curvilinear Channel with Corrugated Walls

Seyed Ali Madani Tonekaboni^1*, Hamid Reza Gharahi², Mohammad Hossein Motevaselian³, Seyed Fouad Karimian⁴, Sara Jahromi⁵

¹Department of Applied Mathematics, University of Waterloo, Waterloo, Canada.
²Department of Mechanical Engineering, Michigan State University, East Lansing, USA.
³Department of Mechanical Engineering, University of Illinoise at Urbana Champaign, Champaign, USA.
⁴Department of Mechanical Engineering, University of Tehran, Tehran, Iran.
⁵Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran.

DOI: 10.4236/ojmsi.2014.24014                

Abstract

This article aims to numerically investigate the flow pattern for Newtonian and power law non-Newtonian fluid in a semi-half circular channel with corrugated walls under the influence of a magnetic field. The results indicate that, presence of a magnetic field affects the flow field in several aspects, especially in the vortex creation and dissipation. In addition, the analysis is carried out for different Reynolds numbers to ascertain the influence of magnetic field on each flow regime. Eventually, the analysis is carried out for a range of power indices including pseudo plastic (shear-thinning) to dilatants (shear-thickening) fluids. The results show that by increasing the power-index, the vortices begin to form and grow gradually so that in the shear-thickening fluid an extra vortex is formed and created nearby the corrugated part of the channel.

Keywords

Newtonian Fluid, Power-Law Non-Newtonian Fluid, Shear-Thickening, Shear-Thinning

Conflicts of Interest

The authors declare no conflicts of interest.

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