Engineering methods of determining thermal boundary conditions from temperature measurement data
Abstract
A solution to the inverse problem of unsteady heat conduction is used as a basis to derive expressions for calculating the boundary conditions for temperature measurements of the heated surface of a semiinfinite body, an unbounded plate, and an unbounded solid cylinder. Relations, whose stability is acceptable only within a limited range of Fourier numbers, are derived (by solving the unsteady heat equation) for the case where the temperature sensors are imbedded in the wall. It is shown that the range of application of these relations can be extended with the aid of the method of least squares.
- Publication:
-
Inzhenerno Fizicheskii Zhurnal
- Pub Date:
- July 1975
- Bibcode:
- 1975InFiZ..29...45Z
- Keywords:
-
- Boundary Conditions;
- Boundary Value Problems;
- Conductive Heat Transfer;
- Surface Temperature;
- Temperature Measurement;
- Cylindrical Bodies;
- Fourier Law;
- Temperature Sensors;
- Unsteady Flow;
- Fluid Mechanics and Heat Transfer