Systems for doing mathematics by computer:
convenient tools for fluid mechanics
Paul Boomkamp & Rob Miesen
Koninglijke/Shell-Laboratorium, Amsterdam
(Shell Research B.V.)
Badhuisweg 3, 1031 CM Amsterdam
The Netherlands
Abstract
Systems for doing mathematics by computer are convenient tools for
mathematical modelling in general, and in doing fluid mechanical analyses
in particular; they enable us to handle problems that would be too
complicated or too expensive without them. In the present paper, this thesis
is illustrated by the study of a fluid mechanical problem that is related
to the transport of very viscous oil. The essence of the problem is a stability
analysis of the interface of a two-fluid Poisseuille flow in a pipe, i.e.
core-annular flow, with a very viscous fluid (oil) as the core and a less viscous fluid
(water) as the annulus. It is shown that both axisymmetric as well as
non-axisymmetric interfacial wave modes will be present.
Computer Algebra in Industry
Edited by A.M. Cohen © 1993 John Wiley & Sons Ltd
Reproduced by permission of John Wiley & Sons Ltd, 1995
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Last Update: June 24, 1997.