On developing laminar Herschel-Bulkley fluid flow

Abstract

Steady laminar developing flow of an incompressible Herschel-Bulkley fluid in a straight channel has been studied. Axial velocity distribution has been obtained by cross-sectional integration of the equation of momentum. This chapter contains four integral solutions of the problem. Their results have been discussed. Also included is the data for the lengths of the developing region and the total drop in pressure there for several values of Herschel-Bulkley number and flow behavior index. Refined momentum energy integral solution not only accounts for the loss of energy due to viscous dissipation in the boundary, but also expresses wall shear stress as integrals involving velocity distribution. This method, therefore, is expected to provide over all best description of Herschel-Bulkley fluid flow development in a straight channel presently available.