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

Pai, Rekha G.; Kandasamy, A.

doi:10.4236/am.2014.513189

Cited by 1 publication

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References 8 publications

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“…Poole and Chhabra [15] reported the results of a systematic numerical investigation of developing laminar pipe flow of yield stress fluids. Recently, Pai and Kandasamy [16] have investigated the entrance region flow of Herschel-Bulkley fluid in an annular cylinder without making prior assumptions on the form of velocity profile within the boundary layer region.…”

Section: Introductionmentioning

confidence: 99%

Entrance Region Flow in Concentric Annuli with Rotating Inner Wall for Herschel–Bulkley Fluids

Kandasamy

Nadiminti

2015

Int. J. Appl. Comput. Math

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A finite difference analysis of the entrance region flow of Herschel-Bulkley fluids in concentric annuli with rotating inner wall has been carried out. The analysis is made for simultaneously developing hydrodynamic boundary layer in concentric annuli with the inner cylinder assumed to be rotating with a constant angular velocity and the outer cylinder being stationary. A finite difference analysis is used to obtain the velocity distributions and pressure variations along the radial direction. With the Prandtl boundary layer assumptions, the continuity and momentum equations are solved iteratively using a finite difference method. Computational results are obtained for various non-Newtonian flow parameters and geometrical considerations. A significant asymmetry is found in the entrance region which is gradually reduced as the flow develops. For smaller values of aspect ratio and higher values of Herschel-Bulkley number the flow is found to stabilize more gradually. Comparison of the present results with the results available in literature for various particular cases has been done and found to be in agreement.

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Section: Introductionmentioning

confidence: 99%