An Integral Method for Massive Injection from a Flat Plate

摘要

A momentum integral method was developed to compute the pressure distribution on a plate or wedge in supersonic flow when there is massive fluid injection through the body surface. In accordance with experimental observations, the contact surface that separates the injected fluid from the fluid in the freestream is assumed to be straight, and the injected mass flow per unit area is fixed. A unique feature of the analysis is the placement of the x-axis along the contact surface instead of on the body. It is assumed that in the x direction the profile for fluid momentum is similar and the pressure gradient vanishes. Use of simple linear and quadratic polynomial profiles yields a linear wall pressure distribution that decreases with x. Computed values of the wall pressure agree well with experimental values when a particular value is assigned to the injection velocity at the initial point. The results indicate that future experiments should include measurements of the wall temperature and velocity as well as of the profiles themselves. (Author)