We study the problem modeling the flow of a Bingham fluid in contact with a newtonian fluid, playing the role of lubricant. This is a free boundary problem coupled by means of diffraction conditions with a boundary value problem of parabolic type. We examine the steady state solutions, the evolutive case with particular regard for the asymptotic behaviour of the solution, and a regularized model related to the appearance of a new rigid zone.
Flow of a Bingham fluid in contact with a Newtonian fluid / E.COMPARINI; P.MANNUCCI. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 227 (2):(1998), pp. 359-381. [10.1006/jmaa.1998.6098]
Flow of a Bingham fluid in contact with a Newtonian fluid
COMPARINI, ELENA;
1998
Abstract
We study the problem modeling the flow of a Bingham fluid in contact with a newtonian fluid, playing the role of lubricant. This is a free boundary problem coupled by means of diffraction conditions with a boundary value problem of parabolic type. We examine the steady state solutions, the evolutive case with particular regard for the asymptotic behaviour of the solution, and a regularized model related to the appearance of a new rigid zone.
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