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

Authors
Huilgol, RR Mena, B
Citation
Rr. Huilgol et B. Mena, 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, J NON-NEWT, 94(2-3), 2000, pp. 113-118
Citations number
7
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Mechanical Engineering
Journal title
JOURNAL OF NON-NEWTONIAN FLUID MECHANICS
ISSN journal
03770257 → ACNP
Volume
94
Issue
2-3
Year of publication
2000
Pages
113 - 118
Database
ISI
SICI code
0377-0257(20001130)94:2-3<113:OTTEFS>2.0.ZU;2-7
Abstract
A proof of the result due to Glowinski, Lions and Tremolieres on the time e stimate for start-up of pipe flows in a Bingham fluid is presented. This re sult states that the norm of the unsteady flow approaches that of the stead y flow exponentially, with the density and viscosity of the fluid, and the lowest eigenvalue of the Laplacian over the cross-section of the pipe playi ng significant roles. (C) 2000 Elsevier Science B.V. All rights reserved.