Abstract
AbstractViscous fluid is squeezed out from a shrinking (or expanding) tube whose radius varies with time as (1 – βt)½. The full Navier–Stokes equations reduce to a non-linear ordinary differential equation governed by a non-dimensional parameterSrepresenting the relative importance of unsteadiness to viscosity. This paper studies the analytic solutions for large |S| through the method of matched asymptotic expansions. A simple numerical scheme for integration is presented. It is found that boundary layers exist near the walls for large |S|. In addition, flow reversals and oscillations of the velocity profile occur for large negativeS(fast expansion of the tube).
Publisher
Cambridge University Press (CUP)
Cited by
21 articles.
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