Abstract
A method to solve the incompressible potential flow through two-dimensional cascades with any profile was described in the previous report. This report presents a solution method for the inverse problem; that is, a problem to seek profiles which realize the above-mentioned flow when such conditions as blade surface flow distribution, solidity(chord-pitch ratio), and incident angle are given. The solution method adopts conformal mapping and determines a series of unknown constants within mapping function by means of numerical iterations. As an example, the blade surface flow distribution calculated for a representative compressor cascade with a known profile was shown as data for the inverse problem to find the profile by this method. As a result, it was confirmed that the original configuration of the cascade can be obtained. Furthermore, it was studied what kind of the profile can be obtained under the same surface flow distribution but at different solidity or incident angle. It was found that the blade becomes thinner to a certain limit with increasing space between blades or decreasing incident angle. The effectiveness of the method was thus proved. 11 refs., 15 figs.
Inoue, K
[1]
- National Aerospace Laboratory, Tokyo (Japan)
Citation Formats
Inoue, K.
Solving the inverse problem for incompressible potential flow through tow-dimensional cascades; Nijigen yokuretsu wo sugiru hiasshuku potential nagare no gyaku mondai.
Japan: N. p.,
1992.
Web.
Inoue, K.
Solving the inverse problem for incompressible potential flow through tow-dimensional cascades; Nijigen yokuretsu wo sugiru hiasshuku potential nagare no gyaku mondai.
Japan.
Inoue, K.
1992.
"Solving the inverse problem for incompressible potential flow through tow-dimensional cascades; Nijigen yokuretsu wo sugiru hiasshuku potential nagare no gyaku mondai."
Japan.
@misc{etde_10125759,
title = {Solving the inverse problem for incompressible potential flow through tow-dimensional cascades; Nijigen yokuretsu wo sugiru hiasshuku potential nagare no gyaku mondai}
author = {Inoue, K}
abstractNote = {A method to solve the incompressible potential flow through two-dimensional cascades with any profile was described in the previous report. This report presents a solution method for the inverse problem; that is, a problem to seek profiles which realize the above-mentioned flow when such conditions as blade surface flow distribution, solidity(chord-pitch ratio), and incident angle are given. The solution method adopts conformal mapping and determines a series of unknown constants within mapping function by means of numerical iterations. As an example, the blade surface flow distribution calculated for a representative compressor cascade with a known profile was shown as data for the inverse problem to find the profile by this method. As a result, it was confirmed that the original configuration of the cascade can be obtained. Furthermore, it was studied what kind of the profile can be obtained under the same surface flow distribution but at different solidity or incident angle. It was found that the blade becomes thinner to a certain limit with increasing space between blades or decreasing incident angle. The effectiveness of the method was thus proved. 11 refs., 15 figs.}
place = {Japan}
year = {1992}
month = {Jun}
}
title = {Solving the inverse problem for incompressible potential flow through tow-dimensional cascades; Nijigen yokuretsu wo sugiru hiasshuku potential nagare no gyaku mondai}
author = {Inoue, K}
abstractNote = {A method to solve the incompressible potential flow through two-dimensional cascades with any profile was described in the previous report. This report presents a solution method for the inverse problem; that is, a problem to seek profiles which realize the above-mentioned flow when such conditions as blade surface flow distribution, solidity(chord-pitch ratio), and incident angle are given. The solution method adopts conformal mapping and determines a series of unknown constants within mapping function by means of numerical iterations. As an example, the blade surface flow distribution calculated for a representative compressor cascade with a known profile was shown as data for the inverse problem to find the profile by this method. As a result, it was confirmed that the original configuration of the cascade can be obtained. Furthermore, it was studied what kind of the profile can be obtained under the same surface flow distribution but at different solidity or incident angle. It was found that the blade becomes thinner to a certain limit with increasing space between blades or decreasing incident angle. The effectiveness of the method was thus proved. 11 refs., 15 figs.}
place = {Japan}
year = {1992}
month = {Jun}
}