A SURVEY OF ASYMPTOTIC SERIES SOLUTIONS TO THE BOUNDARY LAYER EQUATIONS.
Interim rept. Jun 64-Jun 65,
CINCINNATI UNIV OHIO HYPERSONIC AERODYNAMICS RESEARCH STAFF
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The paper presents a summary of the asymptotic series method for solving approximately the boundary layer equations. The principles and restrictions of the method are discussed in detail, together with a brief survey of the previous papers that have utilized this method. The present discussion indicates the types of boundary layer problems that are susceptible to this treatment, and the reasons for these limitations. The mathematical techniques upon which these analyses rely, such as the method of steepest descent, and the Euler Transformation, are treated in detail and are related to the aforementioned limitations. Also the use of asymptotic series together with numerical computer calculations is discussed briefly, indicating possible lines of advancement. Author
- Fluid Mechanics