Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

On the characteristics and compatibility equations for the UCM model fluid

Gerritsma, Marc I. and Phillips, Timothy Nigel ORCID: https://orcid.org/0000-0001-6455-1205 2008. On the characteristics and compatibility equations for the UCM model fluid. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) 88 (7) , pp. 523-539. 10.1002/zamm.200700058

Full text not available from this repository.

Abstract

The quasilinear system of partial differential equations governing the flow of a UCM fluid is known to be of mixed elliptic-hyperbolic type. The compatibility equations associated with the hyperbolic part of the system are derived in this paper. There are two characteristic variables that are transported along the characteristics. These are both associated with the conditional well-posedness of the system. The compatibility equations in this case are derived from the constitutive equation alone. There are two additional characteristics that are always present for unsteady inertial flow and which may be present for steady inertial flow. The compatibility equations associated with these characteristics involve a coupling between the momentum and constitutive equations. At an inflow boundary, it is shown that all stress components can be prescribed, despite the fact that there are only two characteristic variables that enter the domain along the streamlines. The remaining stress component is provided by fixing the incoming elastic shear waves.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Wiley
ISSN: 0044-2267
Last Modified: 18 Oct 2022 13:07
URI: https://orca.cardiff.ac.uk/id/eprint/12382

Citation Data

Cited 14 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item