Core Variation in the Entrance Region Flow of Casson Fluid in an Annuli

Abstract

The entrance region flow of a Casson fluid in an annular cylinder has been investigated numerically without making prior assumptions on the form of velocity profile within the boundary layer region, which is determined by a cross sectional integration of the momentum differential equation for a given distance from the channel entrance. Using the macroscopic mass balance equation, the thickness of the core has been obtained at each cross section of entrance region of annuli for different values of Casson number and for various values of aspect ratio.

Entrance Region Flow of Casson Fluid in an Annular Cylinder

“…Various authors [1][2][3][4][5][6][7] have studied the entrance region flow of such non-Newtonian fluids in different geometries. Recently, Kandasamy and Pai [8] have investigated the core variation in the entrance region flow of a Casson fluid in an annuli. The purpose of the present work is to analyze numerically the entrance region flow of a Casson fluid through annular cylinder without making assumptions in the form of velocity profile within the boundarylayer.…”

“…Using the velocity expressions in the equations (8) and 9 where The solution of Eq. (14) gives the relation between the core thickness and the dimensionless axial distance Z.…”

Entrance Region Flow of Herschel-Bulkley Fluid in an Annular Cylinder

“…Poole and Chhabra [7] reported the results of a systematic numerical investigation of developing laminar pipe flow of yield stress fluids. Recently Kandasamy and Pai [8] have investigated the Core variation in the entrance region flow of Casson Fluid in an annuli.…”