Two-dimensional equilibrium configurations in Korteweg fluids-Reference-Cited by-同舟云学术

Two-dimensional equilibrium configurations in Korteweg fluids

Published:2022 Issue:2 Volume:49 Page:111-122
ISSN:1450-5584
Container-title:Theoretical and Applied Mechanics
language:en
Short-container-title:Theor appl mech (Belgr)

Author:

Gorgone M.¹,Oliveri F.¹,Ricciardello A.²,Rogolino P.¹

Affiliation:

1. Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, University of Messina, Messina, Italy

2. Faculty of Engineering and Architecture, Kore University of Enna, Cittadella Universitaria, Enna, Italy

Abstract

In this paper, after reviewing the form of the constitutive equations for a third grade Korteweg fluid, recently derived by means of an extended Liu procedure, an equilibrium problem is investigated. By considering a two-dimensional setting, a single nonlinear elliptic equation is derived such that the equilibrium conditions are identically satisfied. Such an equation is discussed both analytically and numerically. Moreover, by considering a particular boundary value problem of Dirichlet type, some preliminary numerical solutions are presented.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Reference24 articles.

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