An Approximate Theory for Potential Flow Through Cascades of Airfoils

Author: Hlavka, George Elmer

Year: 1954

Degree: Dissertation (Ph.D.)

Advisor: Rannie, W. Duncan

Committee Member: Unknown, Unknown

Option: Mechanical Engineering; Mathematics

DOI: 10.7907/Q30C-J875

Abstract

A new analytic theory is presented for predicting certain characteristics of the plane potential flow through a cascade. The analysis is based on the assumption that the airfoils of the cascade deviate only slightly from straight lines.

The theory provides a means for obtaining higher order approximations than have been found heretofore. As a result it has been possible to evaluate the accuracy of existing first-order approximations.

In addition the first-order theory has been extended by the addition of a means for obtaining the variation of flow velocity and pressure at the airfoils, and the removal of certain restrictions on angle of attack.

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