منابع مشابه
Motion of a slightly compressible fluid.
We show that the motion of a slightly compressible fluid is near that of an incompressible fluid. That is, for a given initial velocity field, the motion of a compressible fluid with large sound speed is near to that of an idealized incompressible fluid. We consider the compressible fluid motion in Lagrangian coordinates and show that it can be defined by two functions giving the kinetic and po...
متن کاملOn the vibration problem for an elastic body surrounded by a slightly compressible fluid
The vibration problem for au plastic -bmmdeditody immersed itu&n idealfktid small compressibility (associated with the small parameter s ~> 0) is considered in the framework of scattering theory. ït is shown that the scattering frequencies converge as e -* 0 to the eigenfrequencies of the self adjoint problem associated with an incompressible fluid. The asymptotic behaviour of the eigenfrequenc...
متن کاملSelf-propelled motion in a viscous compressible fluid – unbounded domains
In this paper we study the self-propelled motion of a single deformable body in a viscous compressible fluid which occupies whole 3-dimensional Euclidean space. The considered governing system for the fluid is the isentropic compressible Navier-Stokes equations. The main result of this paper is the existence of a weak solution on a time interval (0,+∞).
متن کاملSelf-propelled motion in a viscous compressible fluid
In this paper we focus on an existence of a weak solution to a system describing a self-propelled motion of a single deformable body in a viscous compressible fluid which occupies a bounded domain in the 3 dimensional Euclidean space. The considered governing system for the fluid is the isentropic compressible Navier-Stokes equation. We prove an existence of a weak solution up to a collision.
متن کاملThe effect of heat addition on slightly compressible flow: The example of vortex pair motion
The effect of a point heat source on the two-dimensional irrotational flow of a slightly compressible nonviscous and nondiffusive fluid is studied. Heat is added at a constant rate and with a prescribed spatial distribution. The Mach number M is assumed small and the governing equations are solved to order M 2 by a generalization of the Rayleigh-Janzen expansion. The interaction between entropy...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 1975
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.72.2.539