Potential Flow Analysis of an Arbitrary Cascade Using a Conformal Transformation into a Row of Circular Cylinders

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概要

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• A new conformal transformation technique is applied to calculate the two-dimensional incompressible potential ; flow through a cascade. The cascade of arbitrary blades is conformally transformed into a row of circular cylinders and a general complex potential flow is obtained in the mapped plane by applying a perturbation method. The mapping distortion between the physical plane and the mapped plane, as the result of applying this new transformation, is exceedingly small. Therefore, the flow through a cascade whose solidity and/or stagger angle are high can be analyzed more accurately by this method than by the conventional methods ; namely, the method to transform the cascade blades into a single circular cylinder or into two concentric circular cylinders. In addition, the convergency of a series of this new transformation function is not affected by the cascade arrangement.

著者

• Goto Akira

  Central Research Laboratory Ebara Corp

• Shirakura Masaaki

  Nikkiso Company Ltd.

関連論文

• Compressor Cascade Optimization based on Inverse Boundary Layer Method and Inverse Cascade Method : 2nd Report, An Inverse Boundary Layer Method and Wind-Tunnel Tests of Optimized Compressor Cascade with High Loading
• Compressor Cascade Optimization based on Inverse Boundary Layer Method and Inverse Cascade Method : 1st Report, An Inverse Cascade Method for Incompressible Two-dimensional Potential Flow
• Potential Flow Analysis of an Arbitrary Cascade Using a Conformal Transformation into a Row of Circular Cylinders

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