- An Introduction to Two-Dimensional Compressible Flow

2013 ◽  
pp. 464-497
Keyword(s):  
Compressible Flow ◽  
Two Dimensional

Nonlinear dynamics of a two dimensional airfoil with freeplay in an inviscid compressible flow

2000 ◽  
Vol 4 (2) ◽  
pp. 125-133 ◽  
Author(s):  
Zoran Dimitrijević ◽  
Guy Daniel Mortchéléwicz ◽  
Fabrice Poirion
Keyword(s):  
Nonlinear Dynamics ◽  
Compressible Flow ◽  
Two Dimensional ◽  
Inviscid Compressible Flow

scholarly journals Resonance Vibration of Mistuned Bladed Discs in Stationary Operations

1997 ◽  
Author(s):  
Romuald Rządkowski
Keyword(s):  
Numerical Model ◽  
Compressible Flow ◽  
Two Dimensional ◽  
Rotating System ◽  
Response Level ◽  
Stationary Response ◽  
The Real ◽  
Disc Model ◽  
Real Geometry ◽  
Airfoil Blades

A numerical model for the calculation of resonance stationary response of mistuned bladed disc is presented. The bladed disc model includes all important effects on a rotating system of the real geometry. The excitation forces were calculated by a code on the basis of two-dimensional compressible flow (to M < 0.8) for thin airfoil blades. The calculations presented in this paper show that centrifugal stress, and the values of excitation forces, play an important role in considering the influence of mistuning on the response level.

An Asymptotic Analysis of Mixing Loss

1995 ◽  
Vol 117 (3) ◽  
pp. 367-374 ◽  
Author(s):  
G. Fritsch ◽  
M. B. Giles
Keyword(s):  
Asymptotic Analysis ◽  
Compressible Flow ◽  
Control Volume ◽  
Physical Significance ◽  
Pressure Waves ◽  
Two Dimensional ◽  
Asymptotic Approach ◽  
Transonic Turbine ◽  
Steady Simulation ◽  
Interface Mixing

The objective of this paper is to establish, in a rigorous mathematical manner, a link between the dissipation of unsteadiness in a two-dimensional compressible flow and the resulting mixing loss. A novel asymptotic approach and a control-volume argument are central to the analysis. It represents the first work clearly identifying the separate contributions to the mixing loss from simultaneous linear disturbances, i.e., from unsteady entropy, vorticity, and pressure waves. The results of the analysis have important implications for numerical simulations of turbomachinery flows; the mixing loss at the stator/rotor interface in steady simulations and numerical smoothing are discussed in depth. For a transonic turbine, the entropy rise through the stage is compared for a steady and an unsteady viscous simulation. The larger interface mixing loss in the steady simulation is pointed out and its physical significance is discussed. The asymptotic approach is then applied to the first detailed analysis of interface mixing loss. Contributions from different wave types and wavelengths are quantified and discussed.

The compressible vortex pair

1990 ◽  
Vol 220 ◽  
pp. 339-354 ◽  
Author(s):  
S. D. Heister ◽  
J. M. Mcdonough ◽  
A. R. Karagozian ◽  
D. W. Jenkins
Keyword(s):  
Flow Field ◽  
Numerical Solution ◽  
Numerical Method ◽  
Compressible Flow ◽  
Vortex Pair ◽  
Flow Speed ◽  
Special Treatment ◽  
Two Dimensional ◽  
Potential Equation ◽  
Weak Shocks

A numerical solution for the flow field associated with a compressible pair of counter-rotating vortices is developed. The compressible, two-dimensional potential equation is solved utilizing the numerical method of Osher et al. (1985) for flow regions in which a non-zero density exists. Close to the vortex centres, vacuum ‘cores’ develop owing to the existence of a maximum achievable flow speed in a compressible flow field. A special treatment is required to represent these vacuum cores. Typical streamline patterns and core boundaries are obtained for upstream Mach numbers as high as 0.3, and the formation of weak shocks, predicted by Moore & Pullin (1987), is observed.

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