Accession Number : AD0468933

Title :   ABLATION OF HOLLOW CYLINDERS.

Descriptive Note : Research rept.,

Corporate Author : POLYTECHNIC INST OF BROOKLYN NY DEPT OF AEROSPACE ENGINEERING AND APPLIED MEC HANICS

Personal Author(s) : Nardo, S. V. ; Flaherty, J. E.

Report Date : JUN 1965

Pagination or Media Count : 35

Abstract : An approximate solution is presented for the ablation of a hollow cylinder whose inner surface is subjected to an axisymmetric heat source and whose outer surface is insulated. The products of melting or sublimation are assumed to be immediately removed upon formation. The analysis considers two distinct ablation problems. The first is concerned with a hollow cylinder of high-conductivity material, and the second considers a hollow cylinder of a lowconductivity material. In the case of the highconductivity material, the spatial variation of temperature in the unablated solid is assumed to be a second-order polynomial; for the lowconductivity material, an exponential temperature profile is assumed. In both cases a heat balance integral technique, which satisfies the heat conduction equation on the average, is used to obtain the ablation time history. The solutions are in the form of second-order nonlinear ordinary differential equations in the position of the ablating surface. (Author)

Descriptors :   (*CYLINDRICAL BODIES, ABLATION), (*ABLATION, CYLINDRICAL BODIES), (*REENTRY VEHICLES, ABLATION), AERODYNAMIC HEATING, ATMOSPHERE ENTRY, MATHEMATICAL MODELS, NONLINEAR DIFFERENTIAL EQUATIONS, THERMAL CONDUCTIVITY, HEAT TRANSFER, THEORY.

Distribution Statement : APPROVED FOR PUBLIC RELEASE