Accession Number:

AD0735697

Title:

Power-Series Solutions for Flows of an Ideal Dissociating Gas

Descriptive Note:

Final rept. 1 Jan 1969-15 Sep 1971

Corporate Author:

MINNESOTA UNIV MINNEAPOLIS DEPT OF AEROSPACE ENGINEERING AND MECHANICS

Personal Author(s):

• Moran, John P.
• Lee, Chong W.

Report Date:

1971-09-15

Pagination or Media Count:

82.0

Abstract:

The report deals with the solution of certain problems in fluid mechanics by power-series expansion of the solution in the independent VARIABLEs. The method is directly related to the well-known Frobenius method for determining analytic solutions of linear ordinary differential equations. However, here the authors apply it to nonlinear systems of differential equations in as many as three independent variables. In consequence, the recursion formulas for the series coefficients are relatively complicated, and an electronic computer is required to effect and to store their solution.

Descriptors:

• *NONLINEAR DIFFERENTIAL EQUATIONS
• *SUPERSONIC FLOW
• EQUATIONS OF MOTION
• SHOCK WAVES
• POWER SERIES
• CONVERGENCE
• INTEGRATION
• COMPUTER PROGRAMMING

Subject Categories:

• Numerical Mathematics
• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE