ABLATION OF A SOLID SPHERE OF A LOW CONDUCTIVITY MATERIAL
Abstract
An approximate solution is presented for determining transient temperature distributions and ablation rates for solid spheres of low thermal conductivity and constant thermal properties, subjected to point symmetric aerodynamic heat inputs. A short time solution for the temperature which is valid prior to ablation, is developed by use of Laplace transforms. The ablation solution is derived by approximation of the radial temperature profile by an exponential function and utilization of the heat balance technique. This results in a second-order, nonlinear, ordinary differential equation for the position of the ablating surface. Results of the numerical integration of the approximate solutions are compared with experimental data obtained at the stagnation point of a Plexiglas hemisphere tested under hypersonic flow conditions. A discussion of the techniques employed, as well as the comparison with experimental data, appear in the body of the report.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0600173
Entities
People
- Richard F. Parisse
Organizations
- New York University Tandon School of Engineering