scholarly journals Linear and Non-Linear Theory of Generalized Functions and its Applications

10.4064/bc88 ◽  
2010 ◽  
Keyword(s):  
Linear Theory ◽  
Generalized Functions ◽  
Non Linear ◽  
Theory Of Generalized Functions

A non-linear theory for a full cavitating hydrofoil in a transverse gravity field

1967 ◽  
Vol 29 (2) ◽  
pp. 317-336 ◽  
Author(s):  
Bruce E. Larock ◽  
Robert L. Street
Keyword(s):  
Gravity Field ◽  
Linear Theory ◽  
Mixed Boundary ◽  
Linear Method ◽  
Two Dimensional ◽  
Mixed Boundary Value Problem ◽  
Cavity Model ◽  
Cavity Size ◽  
Non Linear ◽  
Cavitating Hydrofoil

An analysis is made of the effect of a transverse gravity field on a two-dimensional fully cavitating flow past a flat-plate hydrofoil. Under the assumption that the flow is both irrotational and incompressible, a non-linear method is developed by using conformal mapping and the solution to a mixed-boundary-value problem in an auxiliary half plane. A new cavity model, proposed by Tulin (1964a), is employed. The solution to the gravity-affected case was found by iteration; the non-gravity solution was used as the initial trial of a rapidly convergent process. The theory indicates that the lift and cavity size are reduced by the gravity field. Typical results are presented and compared to Parkin's (1957) linear theory.

Non-Linear Theory of Heteropolar Electrical Machines

1965 ◽  
Vol AS-3 (2) ◽  
pp. 32-38 ◽  
Author(s):  
S. V. Ahamed ◽  
E. A. Erdelyi ◽  
R. E. Hopkins
Keyword(s):  
Linear Theory ◽  
Electrical Machines ◽  
Non Linear
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