On the flow behind an axially symmetrical attached curved shock

✍ Scribed by S.I. Pai

• Publisher: Elsevier Science
• Year: 1954
• Tongue: English
• Weight: 620 KB
• Volume: 257
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(54)90729-2

✦ Synopsis

The flow behind a curved shock attached to a body of revolution placed in a uniform stream whose direction is in the direction of the axis of the body is investigated by considering the perturbation of the stream function in the Taylor-Maccoll solution for a cone.

The flow patterns are divided into three groups: One is designated as the "weak shock" case in which the resultant velocity of the corresponding conical flow behind the shock is always supersonic; the second is designated as the "strong shock" case in which the resultant velocity of the basic conical flow behind the shock is always subsonic; and the third is the transonic case. Solutions for these three cases are obtained for arbitrary shape of the body of revolution.

In the transonic case, a special first order differential equation for the perturbed stream function valid in the neighborhood of Mach number equal to one is found. This equatiort is used to join the solutions for the supersonic and the subsonic flows so that a smooth transition from supersonic to subsonic flow is obtained.