Accession Number:

ADA076029

Title:

Second Approximation to Conical Flows

Descriptive Note:

Technical rept.

Corporate Author:

CORNELL UNIV ITHACA NY GRADUATE SCHOOLOF AEROSPACE ENGINEERING

Personal Author(s):

• Tan, H. S.

Report Date:

1950-12-01

Pagination or Media Count:

70.0

Abstract:

The method of expansion in powers of a thickness parameter is employed to calculate supersonic, inviscid flow about symmetrical arrow-head wings lying entirely within the tip Mach cone. In this method, the first order terms constitute the familiar, linearized Prandtl-Glauert approximation. The method is one of iteration. Here the second approximation is computed and plotted for a family of arrow-head wings having various leading-edge angles and thicknesses, and flying at various Mach numbers. It is necessary to use Lighthills method to determine the strength of the attached conical shock.

Descriptors:

• *APPROXIMATION(MATHEMATICS)
• *SUPERSONIC FLOW
• *CONICAL WINGS
• EQUATIONS OF MOTION
• SHOCK WAVES
• TRANSFORMATIONS(MATHEMATICS)
• BOUNDARY VALUE PROBLEMS
• DIFFERENTIAL EQUATIONS
• PERTURBATION THEORY
• INVISCID FLOW
• ITERATIONS
• POTENTIAL THEORY
• PRANDTL NUMBER

Subject Categories:

• Theoretical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE