Integral Method in Compressible Laminar Boundary Layers and its Application

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Abstract
A method is developed for calculating the properties of compressible boundary layers with heat transfer and arbitrary pressure gradients. The method is based on the integral relations and one-parameter correlation concept. The energy integral equation is also considered with the momentum integral equation such that the variation of the ratio of the energy defect thickness to the momentum defect thickness, which has a strong effect on the computation of heat transfer, is taken into account. Thus high accuracy is obtained in predicting heat transfer. The method is then applied to calculate the self-induced pressure interaction problem in hypersonic flows. The solutions cover the complete range of interaction and show good agreement with other more exact theoretical results as well as experimental data. With the present method and the local similarity concept, closed form solutions to the pressure interaction problem can be obtained.

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