HYPERSONIC VISCOUS FLOW NEAR THE STAGNATION STREAMLINE OF A BLUNT BODY: I. A TEST OF LOCAL SIMILARITY.
STANFORD UNIV CALIF
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The flow near the stagnation streamline of a blunt body is often analyzed by using the approximation of local similarity, which reduces the equations of motion to a system of ordinary differential equations. This scheme is equivalent to truncating at one term a powerseries expansion of the flow variables from the stagnation point, neglecting backward influence. The accuracy of such a truncation is examined. The principal assumption is that the Navier-Stokes equations are valid. In addition, it is assumed that the validity of the first truncation can be evaluated by comparing it with the second. The conclusion is that the usual assumption of local similarity is remarkably accurate for predicting flow quantities near the stagnation streamline. Author