TITLE:
Entrance Region Flow of Herschel-Bulkley Fluid in an Annular Cylinder
AUTHORS:
Rekha G. Pai, A. Kandasamy
KEYWORDS:
Annular Cylinder, Boundary Layer Region, Entrance Region Flow, Herschel-Bulkley Fluid, Momentum Integral Equation
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.13,
July
14,
2014
ABSTRACT: The entrance region
flow of a Herschel-Bulkley fluid in an annular cylinder has been investigated
numerically without making prior assumptions on the form of velocity profile
within the boundary layer region. This velocity distribution is determined as
part of the procedure by cross sectional integration of the momentum
differential equation for a given distance z from the channel entrance. Using
the macroscopic mass and momentum balance equation, the entrance length at each
cross section of the entrance region of the annuli and pressure distribution
have been calculated for specific values of Herschel-Bulkley number and various
values of aspect ratio and flow behavior index. The effects of non-Newtonian
characteristics and channel width on the velocity profile, pressure
distribution and the entrance length have been discussed.