Published in

Oxford Scholarship Online, 2018

DOI: 10.1093/oso/9780198805021.003.0004

Links

Tools

Export citation

Search in Google Scholar

Ideal Fluid Flows

Book published in 2018 by S. G. Rajeev
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

Full text: Unavailable

Green circle
Preprint: archiving allowed
Orange circle
Postprint: archiving restricted
White circle
Published version: policy unclear
Data provided by SHERPA/RoMEO

Abstract

Some solutions of Euler’s equations are found here. The simplest are the steady flows: water flowing out of a tank at a constant rate, the Venturi and Pitot tubes. Another is the static solution of a self-gravitating fluid of variable density (e.g., a star). If the total mass is too large, such a star can collapse (Chandrasekhar limit). If the flow is both irrotational and incompressible, it must satisfy Laplace’s equation. Complex analysismethods can be used to solve for the flow past a cylinder or inside a disk with a stirrer. Joukowski used conformal transformations on the cylinder to find the lift of the wing of an airplane, in the limit of zero viscosity. Waves on the surface of a fluid are studied as another example. The speed of these waves is derived as a function of their wavelength and the depth of the fluid.