scholarly journals Asymmetric Inlet Flow in Axial Turbomachines

1964 ◽  
Vol 86 (1) ◽  
pp. 18-28 ◽  
Author(s):  
Barry S. Seidel
Keyword(s):  
Equations Of Motion ◽  
Present Theory ◽  
Two Dimensional ◽  
Previous Theory ◽  
Flow Equations ◽  
Compressor Rotor ◽  
Spacing Ratio ◽  
Blade Row ◽  
Two Dimensional Flow ◽  
Flow Through

A modified actuator disk analysis is made which, through an improved prediction of the blade forces, attempts to give closer correspondence with experiment than the previous theory. The fluid is assumed inviscid and incompressible. Perturbations to the two-dimensional flow through an isolated blade row are considered. The steady flow equations of motion and continuity are linearized. According to experiments conducted on an isolated compressor rotor, the present theory offers an improvement, compared to previous theory, in the prediction of distortion attenuation, effects of flow rate, and effects of varying chord/spacing ratio.

Choking Effects in the Blade Rows of Turbomachines

1980 ◽  
Vol 22 (4) ◽  
pp. 161-173 ◽  
Author(s):  
J. H. Horlock
Keyword(s):  
Shear Flows ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Entry And Exit ◽  
Transonic Compressor ◽  
Dimensional Flow ◽  
Blade Row ◽  
Two Dimensional Flow ◽  
Flow Through

Three-dimensional flows through cascades of blades are studied, the blading being fully choked internally. Initially the two-dimensional flow through a ‘zero stagger, zero camber’ blade row, with subsonic entry and exit flow, is described. The radial flows are produced by radial variations in throat area, or by a variety of entry shear flows. Subsequently, the analysis is developed to describe similar fully choked flows through staggered blade rows, particularly the first rotating row of a transonic compressor.

Two-Dimensional Flow With Standing Vortexes in Ducts and Diffusers

1960 ◽  
Vol 82 (4) ◽  
pp. 921-927 ◽  
Author(s):  
Friedrich O. Ringleb
Keyword(s):  
Wind Tunnel ◽  
Potential Flow ◽  
Separation Control ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Princeton University ◽  
Two Dimensional Flow ◽  
Flow Through ◽  
Trapping Devices

The conditions for the equilibrium of two vortexes in a two-dimensional flow through a duct or diffuser are derived. Potential-flow considerations and a few basic results from viscous-flow theory are used for the discussion of the role of cusps as separation control and trapping devices for standing vortexes. The investigations are applied to cusp diffusers especially with regard to the wind tunnel of the James Forrestal Research Center of Princeton University.

The flow past a rapidly rotating circular cylinder

1957 ◽  
Vol 242 (1228) ◽  
pp. 108-115 ◽  
Keyword(s):  
Boundary Layer ◽  
Circular Cylinder ◽  
Present Theory ◽  
Stream Velocity ◽  
Two Dimensional ◽  
Rotating Circular Cylinder ◽  
Flow Past ◽  
Separating Flow ◽  
Two Dimensional Flow ◽  
Uniform Stream

This paper considers the two-dimensional flow past a circular cylinder immersed in a uniform stream, when the cylinder rotates about its axis so fast that separation in suppressed. The solution of the flow in the boundary layer on the cylinder is obtained in the form of a power series in the ratio of the stream velocity to the cylinder's peripheral velocity, and expressions are deduced for the value of the circulation and the torque on the cylinder. The terms calculated explicitly are sufficient to give reliable numerical values over the whole range of rotational speeds for which the postulate of non-separating flow is justifiable. The previously accepted theory, due to Prandtl, predicted that the circulation should not exceed a certain limit, while the present theory indicates that the circulation increases indefinitely with increase of rotaional speed. Strong arguments against the older theory are put forward, but the experimental evidence available is inconclusive.

scholarly journals On the Exact Solutions of Couple Stress Fluids

2014 ◽  
Vol 1 ◽  
pp. 27-32 ◽  
Author(s):  
Waqar Khan ◽  
Faisal Yousafzai
Keyword(s):  
Exact Solutions ◽  
Stream Function ◽  
Couple Stress ◽  
Two Dimensional ◽  
Compatibility Equation ◽  
Flow Equations ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Stream Functions ◽  
Couple Stress Fluids

Exact solutions of the momentum equations of couple stress fluid are investigated. Making use of stream function, the two-dimensional flow equations are transformed into non-linear compatibility equation, and then it is linearized by vorticity function. Stream functions and velocity distributions are discussed for various flow situations.

scholarly journals AN ANALYSIS OF TWO-DIMENSIONAL FLOW THROUGH A WATER RESERVOIR USING MATHEMATICAL APPROACH

2019 ◽  
Vol 2 (1) ◽  
pp. 11-13
Author(s):  
Gohar Rehman ◽  
Qura Tul Ain ◽  
Muhammad Zaheer ◽  
Liulei Bao ◽  
Javed Iqbal
Keyword(s):  
Water Reservoir ◽  
Mathematical Approach ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Flow Through

Measurement of Nonsteady Forces in Three Turbine Stage Geometries Using the Hydraulic Analogy

1978 ◽  
Vol 100 (4) ◽  
pp. 525-532 ◽  
Author(s):  
N. F. Rieger ◽  
A. L. Wicks
Keyword(s):  
Free Surface ◽  
Gas Flow ◽  
Two Dimensional ◽  
Turbine Stage ◽  
Summary Table ◽  
Rotating Blade ◽  
Blade Row ◽  
Gasdynamic Flow ◽  
Flow Through ◽  
Hydraulic Analogy

Experimental results for the nonsteady forces and nonsteady torques acting at the e.g. of an instrumented moving turbine blade have been obtained. Three different turbine stage geometries have been tested in this manner. The data described was obtained using a rotating model turbine stage consisting of a row of stationary inlet nozzles and a rotating blade row. The hydraulic analogy was used to stimulate the two-dimensional gasdynamic flow through the three stage geometries in turn. The free-surface horizontal flow of water across the rotating water table then represents the gas flow through the stage. Results for the nonsteady forces and torques in the tangential, axial, and torsional directions are presented as dimensionless force ratios or dimensionless torque ratios in each instance. Charts of results are presented for various stage pressure ratios, for practical ranges of stage velocity ratios. Typical results and observed trends are discussed in detail, and a summary table of observed nonsteady excitation values is presented.

The Computation of Transonic Flow Through Two-Dimensional Gas Turbine Cascades

1971 ◽  
Author(s):  
P. W. McDonald
Keyword(s):  
Flow Field ◽  
Gas Turbine ◽  
Transonic Flow ◽  
Equations Of Motion ◽  
Two Dimensional ◽  
Airfoil Surface ◽  
Pressure Distributions ◽  
Flow Through ◽  
Turbine Cascades ◽  
Definition Of

Steady transonic flow through two-dimensional gas turbine cascades is efficiently predicted using a time-dependent formulation of the equations of motion. An integral representation of the equations has been used in which subsonic and supersonic regions of the flow field receive identical treatment. Mild shock structures are permitted to develop naturally without prior knowledge of their exact strength or position. Although the solutions yield a complete definition of the flow field, the primary aim is to produce airfoil surface pressure distributions for the design of aerodynamically efficient turbine blade contours. In order to demonstrate the accuracy of this method, computed airfoil pressure distributions have been compared to experimental results.

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