Long-time solutions to heat-conduction transients with time-dependent inputs

Journal Article · Fri Feb 01 04:00:00 EST 1980 · J. Heat Transfer; (United States)

DOI:https://doi.org/10.1115/1.3244221· OSTI ID:5509382

Ceylan, H T; Meyers, G E

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.

• Research Organization: Univ. of Wisconsin, Madison
• DOE Contract Number: AC03-80SF11508
• OSTI ID: 5509382
• Journal Information: J. Heat Transfer; (United States), Journal Name: J. Heat Transfer; (United States) Vol. 102; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

14 SOLAR ENERGY
140901* -- Solar Thermal Utilization-- Space Heating & Cooling
AIR CONDITIONING
BUILDINGS
CONVERSION
DIFFERENTIAL EQUATIONS
ENERGY CONVERSION
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
HEATING LOAD
SOLAR ENERGY CONVERSION
THERMAL CONDUCTION
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE