SIMILARITY SOLUTIONS FOR SMALL CROSS FLOWS IN LAMINAR COMPRESSIBLE BOUNDARY LAYERS

摘要

The compressible laminar boundary-layer equa¬tions for an arbitrary three-dimensional body are reduced to a form analogous to the corresponding equations for axisymmetric flow. This simplifi¬cation results from the use of a streamline coordinate system and the assumption that the component of boundary-layer flow normal to the external stream-line (cross flow) is small. The streamwise skin friction and heat-transfer distributions on the arbi¬trary body are then independent of the cross flow. Formulas for computing these distributions are adapted from a local similarity method originally derived for a body of revolution.nThe cross-flow momentum equation is simplified by a similarity transformation, and solutions are obtained for a large range of input conditions as represented by similarity parameters.