Unstable Eigenvalues Associated with Inviscid Fluid Flows

2000 ◽  
Vol 2 (4) ◽  
pp. 365-380 ◽  
Author(s):  
S. Friedlander ◽  
M. Vishik ◽  
V. Yudovich
Keyword(s):  
Fluid Flows ◽  
Inviscid Fluid

Inviscid Fluid Flows

1983 ◽  
Author(s):  
Hilary Ockendon ◽  
Alan B. Tayler
Keyword(s):  
Fluid Flows ◽  
Inviscid Fluid

scholarly journals An implicit integral formulation to model inviscid fluid flows in obstructed media

2019 ◽  
Vol 188 ◽  
pp. 136-163
Author(s):  
Clément Colas ◽  
Martin Ferrand ◽  
Jean-Marc Hérard ◽  
Jean-Claude Latché ◽  
Erwan Le Coupanec
Keyword(s):  
Fluid Flows ◽  
Integral Formulation ◽  
Inviscid Fluid

Introductory Incompressible Fluid Mechanics

2021 ◽  
Author(s):  
Frank H. Berkshire ◽  
Simon J. A. Malham ◽  
J. Trevor Stuart
Keyword(s):  
Fluid Mechanics ◽  
Incompressible Fluid ◽  
Stokes Equations ◽  
Fluid Flows ◽  
Teaching Experience ◽  
Navier Stokes ◽  
Inviscid Fluid ◽  
Science And Engineering ◽  
Navier Stokes Equations ◽  
Global Existence Of Solutions

This introduction to the mathematics of incompressible fluid mechanics and its applications keeps prerequisites to a minimum – only a background knowledge in multivariable calculus and differential equations is required. Part One covers inviscid fluid mechanics, guiding readers from the very basics of how to represent fluid flows through to the incompressible Euler equations and many real-world applications. Part Two covers viscous fluid mechanics, from the stress/rate of strain relation to deriving the incompressible Navier-Stokes equations, through to Beltrami flows, the Reynolds number, Stokes flows, lubrication theory and boundary layers. Also included is a self-contained guide on the global existence of solutions to the incompressible Navier-Stokes equations. Students can test their understanding on 100 progressively structured exercises and look beyond the scope of the text with carefully selected mini-projects. Based on the authors' extensive teaching experience, this is a valuable resource for undergraduate and graduate students across mathematics, science, and engineering.

Investigation of secondary inviscid fluid flows in the runner of a mixed-flow turbine

1994 ◽  
Vol 28 (12) ◽  
pp. 709-714 ◽  
Author(s):  
A. V. Zakharov ◽  
G. I. Topazh
Keyword(s):  
Fluid Flows ◽  
Inviscid Fluid ◽  
Mixed Flow

Loss of Smoothness and Inherent Instability of 2D Inviscid Fluid Flows

2008 ◽  
Vol 33 (6) ◽  
pp. 943-968 ◽  
Author(s):  
Andrey Morgulis ◽  
Alexander Shnirelman ◽  
Victor Yudovich
Keyword(s):  
Fluid Flows ◽  
Inviscid Fluid

The Stability of Simply Supported Rectangular Surfaces in Uniform Subsonic Flow

1973 ◽  
Vol 40 (1) ◽  
pp. 68-72 ◽  
Author(s):  
C. H. Ellen
Keyword(s):  
Aspect Ratio ◽  
Three Dimensional ◽  
Stability Result ◽  
Fluid Flows ◽  
Inviscid Fluid ◽  
Low Frequencies ◽  
Critical Flow Velocity ◽  
Simply Supported ◽  
Aspect Ratios ◽  
The Stability

A study is made of the stability of a simply supported flat plate set in an infinite rigid baffle when an inviscid fluid flows uniformly at subsonic speed past one side of the surface. The generalized pressures are derived for low frequencies with two and three-dimensional flows. The three-dimensional generalized pressures are expanded asymptotically for high and low aspect ratios, and analytic forms derived for the critical flow velocity at instability. The asymptotic expansions enable the effect of aspect ratio on stability to be determined. It is shown that the incompressible limit, for two-dimensional flows, is singular but the stability criterion is associated with first-mode divergence and is identical with the three-dimensional high aspect ratio stability result, although there are certain detailed differences in the nature of the instability.

Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows

2012 ◽  
Vol 356 (2) ◽  
pp. 683-702 ◽  
Author(s):  
Eduard Feireisl ◽  
Antonín Novotný ◽  
Hana Petzeltová
Keyword(s):  
Weak Solutions ◽  
Fluid Flows ◽  
Inviscid Fluid ◽  
Suitable Weak Solutions
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