METHOD OF ASYMPTOTIC INTEGRATION OF LAMINAR BOUNDARY LAYER EQUATIONS,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO
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After a brief review of the known methods of solving boundary layer problems numerical, expansions in series, integral, the author presents a brief description of the asymptotic method as an effective analytical tool which makes it possible to reduce the problem of determining the friction and heat transfer to the solution of an ordinary differential equation which includes friction and its derivatives along the longitudinal coordinate. This method is generalized here to the case of the boundary layer in a compressible gas and is applied to calculations of compressible gas flow with arbitrary distributions of velocity past an elliptic cylinder in a wide range of parametric variation, and to the case of flow with gas injection into a boundary layer. The numerical results obtained for an incompressible liquid are approximated by analytical formulas. An approximate method is presented for the case of arbitrary velocity distribution in the outer flow. A system of nonsimilarity parameters is obtained as the result of the analysis of the asymptotic expansions derived here, which describes the flow along the generatrix of the body. The hypothesis of local similarity is discussed and a qualitative criterion for its application is given.
- Numerical Mathematics
- Fluid Mechanics