Two-dimensional subsonic and sonic flow past thin bodies
- 1 October 1957
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 3 (1), 93-109
- https://doi.org/10.1017/s0022112057000506
Abstract
Hodograph methods are applied to determine the flow at high subsonic and sonic velocities past two-dimensional, thin, symmetrical bodies. The boundary value problem for the determination of the stream function Ψ, which in the present theory is a solution of Tricomi's equation, is simplified by the assumption of a free stream breakaway at sonic velocity from the shoulder of the body. A solution is obtained in terms of Bessel functions.In § 2 and 3 the flow past a wedge of small angle is discussed and expressions are obtained for the pressure on the nose, the drag coefficient and the width of the wake. A comparison with the corresponding results in the case of sonic velocity derived by the more complex analysis of Guderley & Yoshihara (1950) shows that the present simpler theory yields very similar values for the pressure over the nose.In § 4 the flow at sonic velocity past a profile which is a first-order perturbation upon a wedge profile is analysed on the basis of the same free streamline theory. The flow pattern is obtained past an arbitrarily specified body by an application of the Hankel inversion theorem and an expression is deduced for the drag.Keywords
This publication has 3 references indexed in Scilit:
- Note on the Drag of a Finite Wedge at Mach Number 1Journal of the Aeronautical Sciences, 1952
- Drag of a Finite Wedge at High Subsonic SpeedsJournal of Mathematics and Physics, 1951
- The Flow over a Wedge Profile at Mach Number 1Journal of the Aeronautical Sciences, 1950