TRANSIENT TEMPERATURE DISTRIBUTION IN A SOLID SPHERE DUE TO AERODYNAMIC HEATING,
Abstract
A solid or thick-walled spherical body of low-conductivity material is analyzed for the transient temperature distribution immediately after the application of axisymmetric aerodynamic heating and before the onset of sublimation at the heated surface. The problem of temperature determination is complicated by the fact that the heat flux across the heated surface in the case of aerodynamic heating is a function of the unknown surface temperature. Moreover, the heat flux, even if already known, is a non-separable function of time and meridianal location. The heat conduction equation is therefore solved approximately by the use of an extended Goodman heat balance integral technique which is completely analogous to the Karman-Pohlhausen integral method for boundary layer analysis. The technique reduces a second order partial differential equation to a first-order non-linear differential equation which is readily integrated. The approximate solution to the reduced problem of heat conduction with point-symmetric aerodynamic heating is compared with a known exact solution and it is found that there is excellent agreement between the two solutions. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1967
- Accession Number
- AD0653873
Entities
People
- Robert N. Coppolino
- S. V. Nardo
Organizations
- New York University Tandon School of Engineering