Spatial Supersonic Flow Through Annular Cascades

1976 ◽  
Vol 98 (2) ◽  
pp. 274-280
Author(s):  
H. H. Fruehauf
Keyword(s):  
Supersonic Flow ◽  
Approximation Method ◽  
Method Of Characteristics ◽  
Three Dimensional ◽  
Dimensional Approximation ◽  
Practical Design ◽  
Dynamical Parameters ◽  
Flow Through ◽  
Guiding Principles

The spatial supersonic flow through rotating and stationary annular cascades is analyzed by means of a nonlinear three-dimensional method of characteristics. Three-dimensional corrections for flow quantities referred to a quasi-three-dimensional approximation method are determined depending on geometric and gas dynamical parameters. Characteristic properties of spatial supersonic flow through annular cascades are analyzed, leading to guiding principles for practical design purposes.

Linearized Solutions for the Supersonic Flow Through Turbomachinery Blade Rows (Using Actuator Disk Theory)

1980 ◽  
Vol 102 (3) ◽  
pp. 330-337
Author(s):  
J. H. Horlock ◽  
C. F. Grainger
Keyword(s):  
Supersonic Flow ◽  
Method Of Characteristics ◽  
Three Dimensional ◽  
Actuator Disk ◽  
Blade Row ◽  
Flow Through ◽  
Twisted Blade ◽  
Disk Method

An actuator disk method is developed for calculating the flow through the blade rows of a turbomachine in which the velocity relative to the blading may be supersonic. The method is compared with calculations of the fully supersonic flow through a twisted blade row using a three-dimensional method of characteristics.

Applicability of Axisymmetric Analysis in Predicting Supersonic Flow Through Annular Cascades

1977 ◽  
Vol 99 (1) ◽  
pp. 115-120
Author(s):  
Hans-Heiner Fruehauf
Keyword(s):  
Supersonic Flow ◽  
Differential Equations ◽  
Three Dimensional ◽  
Supersonic Flows ◽  
Dimensional Model ◽  
Surfaces Of Revolution ◽  
Three Dimensional Model ◽  
Dynamical Parameters ◽  
Flow Through ◽  
Blade Model

Solutions of the differential equations of the axisymmetric model and circumferentially averaged solutions of the differential equations of the three-dimensional model are compared quantitatively for steady supersonic flows through rotating annular cascades. Thereby three-dimensional corrections for flow quantities, which determine the applicability of the axisymmetric analysis, are investigated as a function of geometrical and gas dynamical parameters. Finally, these three-dimensional corrections are compared to three-dimensional corrections for the solutions of the usual blade-to-blade model on cylindrical surfaces of revolution for identical annular cascades.

Three Dimensional Supersonic Flow Through a Cascade of Twisted Flat Plates

1980 ◽  
Vol 102 (3) ◽  
pp. 338-343
Author(s):  
C. F. Grainger
Keyword(s):  
Method Of Characteristics ◽  
Three Dimensional ◽  
Axial Flow ◽  
Finite Difference Approximation ◽  
Difference Approximation ◽  
Flat Plates ◽  
Three Dimensional Flow ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Flow Through

The three-dimensional flow through a cascade of twisted flat-plate blades is calculated using a computer program based on a finite-difference approximation to the method of characteristics. The relative flow is supersonic but the axial flow is subsonic. For two-dimensional flow under similar conditions, the inlet flow field is one of “unique-incidence,” the effect discussed by Starken (5) and others. The main purpose of the present work is to extend the understanding of this effect to three-dimensional flow. Important differences between the two and three-dimensional flow fields are explained in terms of the interaction between neighboring sections of the flow.

Method of Characteristics for supersonic flow of a guiding centre plasma

1972 ◽  
Vol 7 (1) ◽  
pp. 87-98 ◽  
Author(s):  
Y. C. Whang
Keyword(s):  
Supersonic Flow ◽  
Acoustic Waves ◽  
Method Of Characteristics ◽  
Three Dimensional ◽  
Oblate Spheroid ◽  
The Moon ◽  
Characteristic Theory ◽  
Analytic Expression ◽  
Field Lines ◽  
Macroscopic Equations

A study of the compressive magneto-acoustic waves in a guiding centre plasma shows that the wave-front that emerges from a point disturbance after a finite time is a simple oblate spheroid with the axis of revolution parallel to the field lines. Thus, in a steady three-dimensional supersonic flow of guiding centre plasma a simple analytic expression can be obtained to represent the characteristic surfaces. From a proper linear combination of the governing macroscopic equations, the characteristic equation is obtained. It represents the propagation of disturbances on the characteristic surface. The characteristic theory can be used to study the interaction of the solar wind with the moon and possibly with other planetary bodies.

The method of characteristics for steady supersonic rotational flow in three dimensions

1956 ◽  
Vol 1 (4) ◽  
pp. 409-423 ◽  
Author(s):  
Maurice Holt
Keyword(s):  
Supersonic Flow ◽  
Method Of Characteristics ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Rotational Flow ◽  
Conical Flow ◽  
Plane Flow ◽  
Flow Problems ◽  
The Method Of Characteristics

The method of characteristics for steady supersonic flow problems in three dimensions, due to Coburn & Dolph (1949), is extended so that flow with shocks and entropy changes may be treated. Equations of motion based on Coburn & Dolph's characteristic coordinate system are derived and a scheme is described for solving these by finite differences.A linearized method of characteristics is developed for calculating perturbations of a given three-dimensional field of flow. This is a generalization of the method evolved by Ferri (1952) for perturbations of plane flow and conical flow.

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