A Mathematical Model of Herschel- Bulkley fluid through an overlapping stenosis

Abstract

The steady flow of Herschel-Bulkely fluid through a tube having overlapping stenosis has been investigated. Assuming the stenosis is to be mild, the flow equations have been linearised and the expressions for the resistance to the flow and wall shear stress have been studied. It is found that the resistance to flow increases with the height of the stenosis, power law index, wall shear stress andyield stress but decreases with stress ratio parameter. It is proved that the Hershcel-Bulkely fluid is more appropriate model to the stenosis than the Newtonian fluid.