Response-coefficient method for heat-conduction transients with time-dependent inputs
Abstract
A theoretical overview of the response coefficient method for heat conduction transients with time-dependent input forcing functions is presented with a number of illustrative applications. The method may be the most convenient and economical if the same problem is to be solved many times with different input-time histories or if the solution time is relatively long. The method is applicable to a wide variety of problems, including irregular geometries, position-dependent boundary conditions, position-dependent physical properties, and nonperiodic irregular input histories. Nonuniform internal energy generation rates within the structure can also be handled by the method. The area of interest is long-time solutions, in which initial condition is unimportant, and not the early transient period. The method can be applied to one dimensional problems in cartesian, cylindrical, and spherical coordinates as well as to two dimensional problems in cartesian and cylindrical coordinates.
- Publication:
-
5th Annual Thermal and Fluids Analysis Workshop
- Pub Date:
- November 1993
- Bibcode:
- 1993tfla.work..531C
- Keywords:
-
- Boundary Conditions;
- Conductive Heat Transfer;
- Differential Equations;
- Heat Transfer Coefficients;
- Measure And Integration;
- Thermal Analysis;
- Time Dependence;
- Transient Heating;
- Cartesian Coordinates;
- Cylindrical Coordinates;
- Internal Energy;
- Spherical Coordinates;
- Two Dimensional Models;
- Fluid Mechanics and Heat Transfer