Supercavitating Linear Cascades With Rounded Noses

1974 ◽  
Vol 96 (1) ◽  
pp. 35-42
Author(s):  
O. Furuya
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Numerical Results ◽  
Singular Perturbation Method ◽  
Local Flow ◽  
Circular Arc ◽  
Linear Cascade ◽  
Pressure Distributions ◽  
Flow Past ◽  
Linearized Theory

A singular perturbation method is used to analyze the flow past a linear cascade of thin supercavitating hydrofoils which have rounded leading edges. This consists essentially of correcting the local flow near the nose as determined by a somewhat improved linearized theory so that pressure distributions can be calculated. Numerical results for a number of cases having circular arc camberline and elliptic noses are presented over a range of parameters suitable for pump or propeller configurations. Some of these show very good lift/drag ratios and pressure distributions even for larger stagger angles.

Singular Perturbation Method for Solving Non-Linear Vibration of Stay Cable (I) - Theory Research

2011 ◽  
Vol 147 ◽  
pp. 112-116
Author(s):  
Zhi Hong Ran ◽  
Jun Tong Qu ◽  
Fei He ◽  
Sheng Miao
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Stay Cable ◽  
Linear Vibration ◽  
Singular Perturbation Method ◽  
Cable Structure ◽  
Non Linear ◽  
Cable Force ◽  
Set Up ◽  
Theory Research

In order to solve the difficult in calculating cable vibration, the non-linear dynamic model of cable was set up with geometrical non-linearity. The differential equation was solved using the singular perturbation method. The analytical expression of frequency and form function was deduced. The expression can be widely used for the field of measurement of cable force and identification of parameter in cable structure.

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