A study of hypersonic small-disturbance theory /

It is shown that the hypersonic theory can be interpreted so that it applies also in the range of linearized supersonic flow theory. Hence, a single small-distrubance theory, and associated similarity rule, apply at all supersonic speeds above the trnasonic zone.A systematic study is made of the approximate inviscid theory of thin bodies moving at such high supersonic speeds that nonlinearity is an essential feature of the equations of flow. The first-order small-disturbance equations are derived for three-dimensional motions involving shock waves, and estimaters are obtained for the order of error involved in the approximation. The hypersonic similarity rule of Tsien and Hayes, and Haye's unsteady analogy appear in the course of the development.NACA TN No. 3173."May 1954."Includes bibliographical references.It is shown that the hypersonic theory can be interpreted so that it applies also in the range of linearized supersonic flow theory. Hence, a single small-distrubance theory, and associated similarity rule, apply at all supersonic speeds above the trnasonic zone.A systematic study is made of the approximate inviscid theory of thin bodies moving at such high supersonic speeds that nonlinearity is an essential feature of the equations of flow. The first-order small-disturbance equations are derived for three-dimensional motions involving shock waves, and estimaters are obtained for the order of error involved in the approximation. The hypersonic similarity rule of Tsien and Hayes, and Haye's unsteady analogy appear in the course of the development.Mode of access: Internet