The Aerodynamic Characteristics of a Slender Body Traveling in a Tube

摘要

Slender-body theory is applied to determine the flow about a slender body of revolution traveling in a tube. A formula for the pressure distribution on an ellipsoid centered in the tube is derived and it is shown that for a body whose diameter is a large percent of the tube diameter the pressures are an order of magnitude greater than they would be for the same body traveling in free air. It follows that a body which passes from a wide to a narrow passage will experience a large impact loading. Formulas for all the static and dynamic stability derivatives are then derived for an arbitrary body of revolution in terms of its cross-sectional area distribution. These formulas are specialized to an ellipsoid of revolution as an illustrative example, and plots of the results are presented as a function of the ratio of the maximum cross-sectional area of the body to the area of the tube. For the body whose diameter is a large percent of the tube diameter the stability derivatives also become an order of magnitude greater than they would be for the same body in free air. (Author)