Long-Time Solutions to Heat-Conduction Transients with Time-Dependent Inputs
Autor: | H. T. Ceylan, G. E. Myers |
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Rok vydání: | 1980 |
Předmět: |
Discretization
Differential equation Mechanical Engineering Mathematical analysis Finite difference Thermodynamics Interval (mathematics) Condensed Matter Physics Thermal conduction Finite element method Mechanics of Materials Ordinary differential equation Heat transfer General Materials Science Mathematics |
Zdroj: | Journal of Heat Transfer. 102:115-120 |
ISSN: | 1528-8943 0022-1481 |
Popis: | An economical method for obtaining long-time solutions to one, two, or three-dimensional heat-conduction transients with time-dependent forcing functions is presented. The conduction problem is spatially discretized by finite differences or by finite elements to obtain a system of first-order ordinary differential equations. The time-dependent input functions are each approximated by continuous, piecewise-linear functions each having the same uniform time interval. A set of response coefficients is generated by which a long-time solution can be carried out with a considerably lower cost than for conventional methods. The method has applications in problems of air-conditioning calculations for buildings and in the development of load models for solar energy studies. |
Databáze: | OpenAIRE |
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