Linear Analysis of the Currents in a Pipe
Open Access
- 1 September 1986
- journal article
- Published by Walter de Gruyter GmbH in Zeitschrift für Naturforschung A
- Vol. 41 (9) , 1141-1153
- https://doi.org/10.1515/zna-1986-0909
Abstract
A simple procedure to find solutions of the hydrodynamic Stokes equations is given. The procedure is used to determine the linear modes of a newtonian fluid in a pipe of circular cross section. Compressibility, shear and bulk viscosity are included, and no restrictions on the symmetry of the modes are made. Furthermore an infinite set of exact solutions of the Navier-Stokes equations is presented.Keywords
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