Transient viscous flow in an annulus

Abstract

The method of matched asymptotic expansions is used in the present paper to derive an approximate solution for transient flow of a viscous incompressible fluid in an annulus. The transient is caused by a sudden reduction of flow rate to zero. The laminar flow before deceleration can be either steady or unsteady but unidirectional. The solution is valid for short time intervals after sudden deceleration.

Pereinamasis klampusis tekėjimas žiede

Santrauka. Išnagrinėtas klampiojo nespūdaus skysčio vienas atvejis, kai procesas modeliuojamas antrosios eiles dierencialine lygtimi su mažu parametru. Sukonstruotas uždavinio su pradine, kraštinėmis bei su nelokaliąja sąlygomis formalusis asimptotinis sprendinys.

First Published Online: 14 Oct 2010