On the no-slip boundary conditions for squeeze flow of viscous fluids期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the no-slip boundary conditions for squeeze flow of viscous fluids

Affiliation:	1. School of Urban Rail Transportation, Soochow University, Suzhou, 215131, PR China;2. Department of Civil Engineering and Engineering Mechanics, Columbia University, USA;3. Department of Civil and Environmental Engineering, University of Delaware, USA;1. Department of Foundation Sciences, University of Technical Education of Hồ Chí Minh City, 01 Võ Văn Ngân, Thủ Đức District, Hồ Chí Minh City, Viet Nam;2. Department of Mathematics, Quy Nhơn University, 170 An Dương Vương, Quy Nhơn, Bình Định, Viet Nam;1. LUNAM Université, IFSTTAR, AME, LAE, F-44344 Bouguenais, France;2. Université Paris-Est, Laboratoire Navier (UMR 8205), CNRS, ENPC, IFSTTAR, F-77455 Marne-la-Vallée, France

Abstract:	A typical class of boundary conditions for squeeze flow problems in lubrication approximation is the one in which the squeezing rate and the width between the squeezing plates are constant. This hypothesis is justified by claiming that the plates moves so slowly that they can be considered static. In this short note we prove that this assumption leads to a contradiction and hence cannot be used.

Keywords:	Squeeze flow Lubrication approximation Boundary conditions
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