Asymptotic analysis of a thin fluid layer flow between two moving surfaces
TLDR
In this article, the behavior of an incompressible viscous fluid moving between two very close surfaces also in motion is studied using the asymptotic expansion method and two models, a lubrication model and a shallow water model, depending on the boundary conditions imposed.About:
This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2022-03-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Asymptotic analysis & Compressibility.read more
Citations
References
More filters
Journal ArticleDOI
XVI. Note on the motion of fluid in a curved pipe
TL;DR: In this paper, the motion of fluid in a curved pipe is described as follows: "note on the motion in a curve pipe" and "the motion in the fluid in the curved pipe".
Journal ArticleDOI
LXXII. The stream-line motion of fluid in a curved pipe (Second paper)
TL;DR: In this paper, the stream-line motion of fluid in a curved pipe is described, and the authors present a model of the fluid flow in a curve pipe, which is based on the one described in this paper.
Journal ArticleDOI
Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation
TL;DR: In this paper, the authors derived the Saint-Venant system for the shallow waters including small friction, viscosity and Coriolis-Boussinesq factor departing from the Navier-Stokes system with a free moving boundary.
Journal ArticleDOI
A justification of the von Kármán equations
TL;DR: In this paper, the authors apply the method of asymptotic expansions to the nonlinear, three-dimensional, equations for the equilibrium of a special class of elastic plates under suitable loads.