Author: C. S. Song

Publisher:

Published: 1962

Total Pages: 66

ISBN-13:

By using a generalized method of solution for the mixed boundary value problem of analytic function theory, and by comparing the present method with the method of source-sink distribution and the method of analytic continuation, an attempt is made to unify the seemingly divergent development of the linear theories of thin foils with separating flows. It is shown that most of the mathematical models may be regarded as special cases of a generalized Riabouchinsky model. The admission of a singularity, which is characteristic of the linear theory, introduces an arbitrary constant and hence the solution is generally non-unique. Therefore, it is always necessary to use additional conditions which are normally not required if exact theory is used. The number of the additional conditions required is equal to the number of singularities admitted. The solution can be made unique, however, by requiring that the solution must be sectionally continuous on the boundary and bounded at infinity. By admitting a singularity at a separation point, the model will represent a flow wherein the free streamline separates normally from the solid boundary. (Author).