๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Viscous nozzle flow as a Sturm-Liouville problem

โœ Scribed by N.L. Balazs

Book ID
103929798
Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
457 KB
Volume
1
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis

In a slender nozzle the mean stationary flow is one dimensional. I analyse this one dimensional flow introducing a small artificial viscosity intothe conservation equations, andconsidering the coefficient of viscosity and the size of the constriction of first and second order smallness respectively. The so resulting approximation scheme leads to a Sturm-Liouville problem with the quadratically not integrable solutions playing a significant role:they describe subsonic flows. The summary at the end of this noteenumerates one by one the different results obtained.

๐Ÿ“œ SIMILAR VOLUMES

A nonlinear Sturm-Liouville problem
A nonlinear Sturm-Liouville problem
โœ Manuel F Estabrooks; Jack W Macki ๐Ÿ“‚ Article ๐Ÿ“… 1971 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 335 KB
On a Sturm-Liouville problem
On a Sturm-Liouville problem
โœ G. A. Cรกmera ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Springer ๐ŸŒ English โš– 393 KB
A hierarchy of Sturmโ€“Liouville problems
A hierarchy of Sturmโ€“Liouville problems
โœ Paul Binding ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 86 KB

## Abstract Sturmโ€“Liouville equations will be considered where the boundary conditions depend rationally on the eigenvalue parameter. Such problems apply to a variety of engineering situations, for example to the stability of rotating axles. Classesof these problems will be isolated with a rather r