CSBE-SCGAB

Simplified equations for transient center temperature prediction in solids during short time heating or cooling

Authors: H.S. Ramaswamy and S. Sreekanth
Description: The transient temperature ofsolids subjected to convective heating at the surface can be approximated, with reasonable accuracy, by the first term of an infinite series for long-time heating/cooling processes (Fo ~ 0.2). For short-time heating/cooling (Fo < 0.2), errors involved in the above approximation are quite high, increasing from about I% at Fo = 0.2 to 14-31% at Fo = 0.05 to a maximum of27-100% at Fo = 0, depending on the particle shape. Simplified equations, using first term approximation coefficients, were developed for estimating the initial curved portion of the semi-logarithmic heating/cooling curves. Initially, a regression model for the correction factor (q» was developed for Bi = 00 as a function of Fourier number (Fo). Subsequently, an additional correction factor (lJ') was developed as a function of Biot number to accommodate finite Biot numbers. The errors in predicted temperatures using the developed equations were less than 2.5% as compared with the infinite summation series.
Citation: H.S. Ramaswamy and S. Sreekanth 1999. SIMPLIFIED EQUATIONS FOR TRANSIENT CENTER TEMPERATURE PREDICTION
IN SOLIDS DURING SHORT TIME HEATING OR COOLING. Canadian Agricultural Engineering 41(1):59-64.
Volume: 41
Issue: 1
Publisher: Canadian Society for Bioengineering
Date: 1999
Type: Text.Article
Format: PDF
Coverage: Canada
Language 1: en
Rights: Canadian Society for Bioengineering
Located in: Volume 41 (1999)