A Summary of Developments of the Mean-Streamline Method in China

“…Fig.11 Midspan blade-to-blade surface in 3-D space (SPBC). As mentioned previously a theoretical analysis for twist of blade-to-blade surface in 3-D turbomachinery flow was performed by Cai (1984). It was indicated that in compressor guidevane with non-free vortex design, blade-to-blade surface will twist towards outer periphery (tip) at pressure side of blade, and the order of magnitude of relative twist Lr/r is 10 -2 .…”

Section: Downstream Vsbc and A Simplified Methods Of Solutionmentioning

confidence: 99%

“…3-D flowfield used for the initial estimate of potential is generated by a second-order mean-streamline-method (Cai, 1984) in order to reduce the initial residual. The convergence is assumed to occur when the maximum residual of the governing difference equation (7) does not exceed lx10 5 .…”

Section: Downstream Vsbc and A Simplified Methods Of Solutionmentioning

confidence: 99%

A Simplified Method for 3-D Potential Flow in Turbomachinery Using Vortex Sheet Boundary Conditions

Jiang

Cai

Zhu

1987

Volume 1: Turbomachinery

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Within the framework of inviscid flow theory, the character of three-dimensional flow in turbomachinery blade row is discussed. One of the important differences between 3-D and 2-D flow in turbomachinery is the discontinuity of velocity at the two sides of trailing edge and across downstream boundary. The inconsistency of the traditional periodicity conditions for downstream boundary and of the axisymmetric assumption for outlet flow with the three-dimensionality of turbomachinery flow is discussed also. For 3-D potential flow, the vortex sheet boundary conditions (VSBC) for downstream boundary and a fully 3-D condition for outlet flow are presented. A simplified method is developed by implementation of VSBC on a fixed vortex boundary in order to predict the fully 3-D flow in blade passage as well as downstream of blade row. In the present investigation two calculations are carried out. In one calculation the traditional boundary conditions are imposed while in another one the VSBC are used to demonstrate the capability of the newly develped boundary conditions. The agreement between some calculated results and the theoretical analysis is very well.

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“…(9,10) and recent improvement Ref. (11)(12)(13) ). The solution thus obtained is called quasi-3D solution…”

Section: Abstract a Jacobian Composed Of A•• Bmentioning

confidence: 99%

A Simple Method for Solving Three-Dimensional Inverse Problems of Turbomachine Flow and the Annular Constraint Condition

Zhao

Sun

1984

Volume 1: Turbomachinery

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In ASME paper 50-A-79, it was suggested that the three-dimensional inverse (design) problem of turbomachine flow may be solved approximately by a Taylor series expansion in the circumferential direction based on the known flow variation over an S2 stream surface in the mid-channel of the blade passage. This idea has been realized recently. A new coordinate transformation has been developed. The coordinate surfaces are coincident with the S2 stream surfaces. This transformation leads to a new method to calculate the aerodynamic equations of 3-D flow. By the use of this transformation, a high order expansion is realized to determine the shape of the blade surfaces from the fluid state on the S2m stream surface directly. Computation in this manner soon leads to the discovery that theoretically the distribution of flow parameter (usually vθr) on S2m prescribed by the designer should satisfy a constraint condition, which guarantees that the S1 stream surfaces along the hub and shroud obtained from circumferential extension of the S2m surface are surfaces of revolution. An approximate method is suggested to meet this condition.

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A Summary of Developments of the Mean-Streamline Method in China

Cited by 9 publications

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Advances in research on inverse and hybrid problems of turbomachinery aerothermodynamics in China

Advances in research on inverse and hybrid problems of turbomachinery aerothermodynamics in China

A Simplified Method for 3-D Potential Flow in Turbomachinery Using Vortex Sheet Boundary Conditions

A Simple Method for Solving Three-Dimensional Inverse Problems of Turbomachine Flow and the Annular Constraint Condition

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