TEMPERATURE FIELD IN A CRYSTAL HEATED BY RADIATION,
Abstract
An exact solution is presented for the problem of determining the temperature field in a crystal on whose surface heat exchange takes place by radiation and whose thermophysical characteristics depend on the temperature. Such a calculation is of importance for the growth and annealing of crystals, when it is desired to avoid surface and volume defects due to uneven temperature. The problem consists of solving the nonstationary heat-conduction equations subject to boundary conditions. The solution is by an integral-transformation method. Several particular cases are considered (constant initial temperature and constant radiant-heat source, linear variation or radiator temperature, exponential variation of the radiating medium). The equations obtained include the region of temperature below the Debye temperature.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 16, 1968
- Accession Number
- AD0681310
Entities
People
- V. V. Salomatov
Organizations
- National Air and Space Intelligence Center