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A FRACTAL VARIATIONAL THEORY FOR ONE-DIMENSIONAL COMPRESSIBLE FLOW IN A MICROGRAVITY SPACE

, 2020
The semi-inverse method is adopted to establish a family of fractal variational principles of the one-dimensional compressible flow under the microgravity condition, and Cauchy–Lagrange integral is...
Ji-Huan He
semanticscholar   +1 more source

Compressible Flow

Introduction to Fluid Mechanics, Sixth Edition, 2020
We know that fluids are classified as Incompressible and Compressible fluids. Incompressible fluids do not undergo significant changes in density as they flow. In general, liquids are incompressible;water being an excellent example.
W. Janna
semanticscholar   +1 more source

Compressible helical flows

Communications on Pure and Applied Mathematics, 1995
AbstractHelical (Beltrami) flow with nonuniform coefficient is considered for the case of compressible fluid and a class of exact solutions is proposed. A paradox of helical flow is discussed and the compressibility is considered as a possible resolution of the paradox. Examples with different symmetries are given for the compressible helical flow and,
Andrey Morgulis   +2 more
openaire   +2 more sources

Compressible corner flow

Journal of Fluid Mechanics, 1972
The viscous compressible flow in the vicinity of a right-angle corner, formed by the intersection of two perpendicular flat plates and aligned with the free stream, is investigated. In the absence of viscous-inviscid interactions and imbedded shock waves, a theory is developed that is valid throughout the subsonic and supersonic Mach number range ...
Stanley G. Rubin, Bernard C. Weinberg
openaire   +3 more sources

A Variational Finite Element Discretization of Compressible Flow

Foundations of Computational Mathematics, 2019
We present a finite element variational integrator for compressible flows. The numerical scheme is derived by discretizing, in a structure-preserving way, the Lie group formulation of fluid dynamics on diffeomorphism groups and the associated variational
Evan S. Gawlik, F. Gay‐Balmaz
semanticscholar   +1 more source

Compressible flow

2013
Publisher Summary This chapter discusses the study of aerodynamics that is almost exclusively restricted to incompressible flow. Quasi-one-dimensional (Q1D) flow and an approximate approach suitable for flows through ducts and nozzles, when changes in the cross-sectional area are gradual, are described in the chapter. Under this circumstance, the flow
P.W. Carpenter   +3 more
openaire   +3 more sources

Compressible Flow

1990
A flow is considered compressible when changes in fluid momentum produce important variations in fluid pressure and density, and the fluid’s thermodynamic characteristics play a direct role in the flow’s development. When the pressure variations are small enough, linear acoustic theory may apply.
Pijush K. Kundu   +2 more
openaire   +3 more sources

Shocklets in compressible flows [PDF]

open access: possibleApplied Mathematics and Mechanics, 2013
The mechanism of shocklets is studied theoretically and numerically for the stationary fluid, uniform compressible flow, and boundary layer flow. The conditions that trigger shock waves for sound wave, weak discontinuity, and Tollmien-Schlichting (T-S) wave in compressible flows are investigated.
Xiang-jiang Yuan   +3 more
openaire   +1 more source

Compressible Flow: Turbulence at the Surface

Journal of Statistical Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Walter I. Goldburg, John R. Cressman
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Compressible Relativistic Flow

The Physics of Fluids, 1968
The governing equations of compressible relativistic flow are cast in a form suitable for treating the subsonic, transonic, and supersonic regimes by established aerodynamic techniques. Small disturbance solutions are found which are the relativistic generalizations of the well-known aerodynamic laws for these flows.
openaire   +3 more sources

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