Proceedings of the 27th National and 5th International ISHMT-ASTFE Heat and Mass Transfer Conference December 14-17, 2023, IIT Patna, Patna-801106, Bihar, India
Residence time method for the analysis of a model cooling process with noise
摘要
Here, we have introduced the residence time method for heat
transfer from a body where its temperature varies with time. We
consider this heat transfer problem as a model cooling process.
First, we show the adaptation of the residence time method for
heat transfer in general. Then, we apply this concept to the
model cooling process. Further analysis is presented for the
model cooling process with noises; this may be viewed as a
mathematical generation of experimental data containing
uncertainties and noises. The residence time method provides
two characteristic time scales related to the process. However,
as we show here, these time scales can be adequately estimated
if the noise levels in the temperature data are low. We further
discuss the possible approach to recover these parameters from
the high noise level temperature data. Using these recovered
time scales, one can adequately construct the temperature
progression with time. Therefore, the present study may be
considered a guideline for constructing the temperature
progression data from noisy experimental data.