Accession Number:

AD0641087

Title:

CALCULATIONS ON THE COLLAPSE OF A SPHERICAL GASFILLED CAVITY IN A COMPRESSIBLE LIQUID

Descriptive Note:

Final rept.

Corporate Author:

DAVID TAYLOR MODEL BASIN WASHINGTON DC

Personal Author(s):

• LILLISTON, Russel R.

Report Date:

1966-08-01

Pagination or Media Count:

45.0

Abstract:

The paper presents a method for calculation the instantaneous pressure, velocity, acceleration, and radius associated with the collapse of a spherical gas-filled cavity in an infinite compressible liquid. The method is an independent approach which makes use of Hammings technique to numerically integrate Gilmores differential equations which describe the collapse. Included is a computer program which will perform the necessary calculation on a IBM 70901401 digital computer. It may be inferred that the peak shock wave pressure is significantly reduced by a decrease in ambient pressure, and increase in internal pressure, andor a variation of the specific heat ratio by proper selection of the gas. Control of the last two parameters can be investigated as a possible means of protecting glass spheres against sympathetic implosion in multiple sphere buoyancy systems.

Descriptors:

• *BUBBLES
• *CAVITATION
• VELOCITY
• LIQUIDS
• ACCELERATION
• SHOCK WAVES
• COMPUTER PROGRAMMING
• NUMERICAL ANALYSIS
• SPHERES
• GASES
• PRESSURE
• DIFFERENTIAL EQUATIONS

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE