Three-Dimensional Theory of Incompressible and Inviscid Flow Through Mixed Flow Turbomachines

1965 ◽  
Vol 87 (4) ◽  
pp. 361-372
Author(s):  
M. J. Schilhansl
Keyword(s):  
Radial Flow ◽  
Three Dimensional ◽  
Inviscid Flow ◽  
Two Dimensional ◽  
Surfaces Of Revolution ◽  
Dimensional Theory ◽  
Mixed Flow ◽  
Three Dimensional Flow ◽  
Flow Through ◽  
Flow Study

In this paper the author presents a three-dimensional flow study for mixed (axial and radial) flow rotors. In order to make the analysis manageable the actual stream surfaces are assumed to coincide with surfaces of revolution. The intersections of the blade surfaces with these surfaces of revolution are mapped onto planes normal to the axis of the rotor. The investigation of the flow in the “picture” planes is based on available two-dimensional cascade theories. Position and shape of the surfaces depend upon the equilibrium of the flow in the direction perpendicular to the surfaces of revolution. The flow in each individual surface of revolution is found by remapping from the planes. Improved position and shape of the surfaces of revolution can be derived from the equilibrium condition. This procedure must be iterated until two consecutive iterations lead to the same result.

An Analysis of Flow Through a Mixed Flow Impeller

1972 ◽  
Vol 94 (1) ◽  
pp. 43-50 ◽  
Author(s):  
Yasutoshi Senoo ◽  
Yoshiyuki Nakase
Keyword(s):  
Finite Number ◽  
Flow Condition ◽  
Three Dimensional ◽  
Meridional Plane ◽  
Surfaces Of Revolution ◽  
Mixed Flow ◽  
Numerical Examples ◽  
Orthogonal Coordinate System ◽  
Plane Solution ◽  
Flow Through

In this report, a method of analyzing steady, three-dimensional, subsonic, nonviscous flow through a turbomachine with arbitrary hub and shroud shapes and with a finite number of blades is presented. In order to make the analysis manageable, the stream surfaces are assumed to be axisymmetric. Position and shape of these surfaces, which depend upon the work of blades, are obtained by a meridional plane solution using a quasi-orthogonal coordinate system. The flow condition on these surfaces of revolution and the work of blades are obtained by a new blade-to-blade solution and the results are used to improve the meridional plane solution. This procedure is repeated until solution converges. Some numerical examples are given.

Modelling of Incompressible Three-Dimensional Flow in Rotating Turbomachinery Passages

2002 ◽  
Author(s):  
C. Cravero ◽  
A. Satta ◽  
M. Marini
Keyword(s):  
Compressible Flows ◽  
Incompressible Flows ◽  
Three Dimensional ◽  
Inviscid Flow ◽  
Mixed Flow ◽  
Three Dimensional Flow ◽  
Pump Impeller ◽  
Preconditioning Technique ◽  
Cfd Method ◽  
Flow Pump

A CFD method, previously developed by the authors for compressible flows, has been modified through a preconditioning technique to account for purely incompressible flows. Such a code is used to compute three-dimensional flows in a mixed flow pump impeller at design and off-design conditions. The results of the inviscid flow approach are critically discussed by comparison to available experimental data.

A Pseudo Three-Dimensional Analysis of Flows in Vaneless Diffusers for Mixed-Flow Compressors

1975 ◽  
Vol 17 (6) ◽  
pp. 348-356
Author(s):  
F. J. Wallace ◽  
R. Atkey ◽  
A. Whitfield
Keyword(s):  
Radial Flow ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Inviscid Flow ◽  
Unstable Flow ◽  
Mixed Flow ◽  
Pressure Distributions ◽  
Suitable Combination ◽  
Vaneless Diffusers ◽  
Stable Flow

A solution is given of the equations of motion for inviscid flow with axial symmetry in mixed-flow diffusers of any given geometry. The associated computer programmes have been applied, together with similar programmes for the impeller based on streamline-normal solutions, to predict streamline, velocity and pressure distributions in a variety of vaneless diffusers as follows: (i) radial-flow impeller with radial diffuser; (ii) mixed-flow impeller with pure conical diffuser and (iii) mixed-flow impeller with curved diffusers. The first of these is shown to give essentially stable flow, the second extremely unstable flow and the third conditionally stable flow provided that a suitable combination of initial contraction and hub/shroud profile is adopted.

The effects of trailing vorticity on the flow through highly loaded cascades

1976 ◽  
Vol 74 (4) ◽  
pp. 721-740 ◽  
Author(s):  
James E. Mccune ◽  
William R. Hawthorne
Keyword(s):  
Incompressible Flow ◽  
Design Problem ◽  
Three Dimensional ◽  
Inviscid Flow ◽  
Dimensional Theory ◽  
Blade Loading ◽  
Large Pressure ◽  
Flow Through ◽  
The Mean ◽  
Highly Loaded

This paper presents a procedure whereby three-dimensional inviscid flow through a highly loaded turbomachinery cascade of lifting lines can be treated by methods corresponding to classical aerodynamic theory. In contrast to earlier linearized (thin airfoil) three-dimensional theory, the present study allows analysis of the flow corresponding to the large turning and/or large pressure ratios induced by practical rotors or stators. For the sake of simplicity, the present paper is limited to incompressible flow through a highly loaded rectilinear cascade and to the design problem, i.e. given blade loading. Formulae are derived for both the mean and the three-dimensional components of the flow; in particular, the velocities at the blades induced by the trailing vorticity associated with nonuniform blade circulation are determined.

Paper 22: The Extension of Schlichting'S Analysis to Mixed Flow Cascades

1965 ◽  
Vol 180 (10) ◽  
pp. 86-95
Author(s):  
D. Pollard
Keyword(s):  
Radial Flow ◽  
Relative Vorticity ◽  
Two Dimensions ◽  
Meridional Plane ◽  
Two Dimensional ◽  
Mixed Flow ◽  
Stream Surface ◽  
Dimensional Plane ◽  
Pressure Distributions ◽  
Flow Through

An analysis is given which enables the performance of a rotating cascade in a mixed flow machine to be calculated. A method of singularities previously used for obtaining the flow through a cascade of blades in two dimensions has been modified to take into account the effects of the relative motion between the fluid and the machine, which includes vorticity. The flow through the mixed-flow cascade is specified by a meridional stream surface which is mapped on to a two-dimensional plane by means of a conformai transformation. Distributed vorticity in the two-dimensional plane is related to the relative vorticity in the meridional plane through the transformation, and a solution of the flow through the cascade in the two-dimensional plane with the distributed vorticity gives a result which includes the ‘slip’ effect, as well as the usual cascade deviation. Examples of the calculation of slip factors for radial flow machines are given and show excellent agreement with exact theories. The method can be used also for mixed flow machines, and flow angles and pressure distributions may be calculated.

Membrane theory

2017 ◽  
Author(s):  
David J. Steigmann
Keyword(s):  
Three Dimensional ◽  
Thin Sheets ◽  
Two Dimensional ◽  
Leading Order ◽  
Membrane Theory ◽  
Dimensional Theory ◽  
Small Thickness

This chapter develops two-dimensional membrane theory as a leading order small-thickness approximation to the three-dimensional theory for thin sheets. Applications to axisymmetric equilibria are developed in detail, and applied to describe the phenomenon of bulge propagation in cylinders.

Optimization of the Three-Dimensional Flow Path in the Scroll-Nozzle System of a Radial Inflow Turbine

1984 ◽  
Vol 106 (2) ◽  
pp. 511-515 ◽  
Author(s):  
E. A. Baskharone
Keyword(s):  
Flow Analysis ◽  
Three Dimensional ◽  
Inviscid Flow ◽  
Three Dimensional Flow ◽  
Multiply Connected ◽  
Dimensional Flow ◽  
Nozzle Configuration ◽  
Flow Domain ◽  
Radial Inflow Turbine ◽  
Compressibility Effects

A three-dimensional inviscid flow analysis in the combined scroll-nozzle system of a radial inflow turbine is presented. The coupling of the two turbine components leads to a geometrically complicated, multiply-connected flow domain. Nevertheless, this coupling accounts for the mutual effects of both elements on the three-dimensional flow pattern throughout the entire system. Compressibility effects are treated for an accurate prediction of the nozzle performance. Different geometrical configurations of both the scroll passage and the nozzle region are investigated for optimum performance. The results corresponding to a sample scroll-nozzle configuration are verified by experimental measurements.

Sign in / Sign up

Export Citation Format

Share Document