On the time estimate for start-up of pipe flows in a Bingham fluid - a proof of the result due to Glowinski, Lions and Tremolieres

R. R. Huilgol; B. Mena

doi:10.1016/S0377-0257(00)00145-2

On the time estimate for start-up of pipe flows in a Bingham fluid - a proof of the result due to Glowinski, Lions and Tremolieres

R. R. Huilgol, B. Mena

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

A proof of the result due to Glowinski, Lions and Tremolieres on the time estimate for start-up of pipe flows in a Bingham fluid is presented. This result states that the norm of the unsteady flow approaches that of the steady flow exponentially, with the density and viscosity of the fluid, and the lowest eigenvalue of the Laplacian over the cross-section of the pipe playing significant roles.

Original language	English
Pages (from-to)	113-118
Number of pages	6
Journal	Journal of Non-Newtonian Fluid Mechanics
Volume	94
Issue number	2-3
DOIs	https://doi.org/10.1016/S0377-0257(00)00145-2
Publication status	Published - 30 Nov 2000

Keywords

Bingham fluid
Pipe flow
Time estimate
Variational inequality

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AB - A proof of the result due to Glowinski, Lions and Tremolieres on the time estimate for start-up of pipe flows in a Bingham fluid is presented. This result states that the norm of the unsteady flow approaches that of the steady flow exponentially, with the density and viscosity of the fluid, and the lowest eigenvalue of the Laplacian over the cross-section of the pipe playing significant roles.

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KW - Pipe flow

KW - Time estimate

KW - Variational inequality

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On the time estimate for start-up of pipe flows in a Bingham fluid - a proof of the result due to Glowinski, Lions and Tremolieres

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