Integral equation solution of the full potential equation for transonic flows

1989 ◽  
Author(s):  
LI-CHUAN CHU ◽  
E. YATES, JR. ◽  
OSAMA KANDIL
Keyword(s):  
Integral Equation ◽  
Full Potential ◽  
Transonic Flows ◽  
Potential Equation ◽  
Equation Solution

Computation of Supercritical Compressor and Turbine Cascades with a Design Method for Transonic Flows

1980 ◽  
Vol 102 (1) ◽  
pp. 68-74 ◽  
Author(s):  
E. Schmidt
Keyword(s):  
Design Method ◽  
Density Ratio ◽  
Full Potential ◽  
Transonic Flows ◽  
Potential Equation ◽  
Contour Shape ◽  
Cascade Arrangement ◽  
Turbine Cascades ◽  
Transonic Region ◽  
Experimental Comparisons

The development of supercritical cascades follows experience with supercritical single profiles. In cascade arrangement strong inter-blade influences exist in the transonic region, so that a desired pressure distribution, starting from the contour shape, is not easy to realize. For these cases, a design method has been developed in which the boundary conditions can be prescribed in a simple and clear manner. Thickness and deflection are not restricted, since the full potential equation is treated. Variation of the axial velocity density ratio is provided for. The solution by relaxation leads to short computing times. Experimental comparisons for turbine and compressor cascades show the applicability of the method.

Fast, Conservative Schemes for the Full Potential Equation Applied to Transonic Flows

AIAA Journal ◽  
1979 ◽  
Vol 17 (2) ◽  
pp. 145-152 ◽  
Author(s):  
Terry L. Holst ◽  
William F. Ballhaus
Keyword(s):  
Full Potential ◽  
Transonic Flows ◽  
Potential Equation ◽  
Conservative Schemes

scholarly journals Integral Equation Solution for Biopotentials of Single Cells

1972 ◽  
Vol 12 (12) ◽  
pp. 1676-1685 ◽  
Author(s):  
Maurice Klee ◽  
Robert Plonsey
Keyword(s):  
Integral Equation ◽  
Single Cells ◽  
Equation Solution
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