Accession Number:

ADA026456

Title:

Transonic Thermal Blooming

Descriptive Note:

Doctoral thesis

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

• Carey, Jr, Edwin F.

Report Date:

1976-03-01

Pagination or Media Count:

123.0

Abstract:

According to the linearized solutions for thermal blooming, the density perturbations become infinite i.e. catastrophic defocusing as the Mach number approaches unity. However, the nonlinearities in the transonic equations cutoff the trend to infinity, and the values of the flow perturbation quantities are finite. The nonlinear equations with heat addition are transformed into simple linear algebraic equations through the specification of the streamline geometry in the heat release region. At a Mach number of unity, streamtube area variation was found to be directly proportional to the change in total temperature. A steady, two-dimensional mixed flow solution has been found for the transonic thermal blooming problem. The solution for the density perturbations within a laser beam at a Mach number of precisely unity is given.

Descriptors:

• *LASER BEAMS
• *THERMAL BLOOMING
• *TRANSONIC FLOW
• ALGEBRAIC FUNCTIONS
• ATMOSPHERIC MOTION
• COMPUTER PROGRAMS
• EQUATIONS OF MOTION
• FORTRAN
• GRAPHS
• HEAT
• INTEGRAL EQUATIONS
• MATHEMATICAL ANALYSIS
• THESES

Subject Categories:

• Atmospheric Physics
• Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE