Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 5908-5915 |
| Number of pages | 8 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 55 |
| Issue number | 21-22 |
| Early online date | 10 Jul 2012 |
| DOIs | |
| Publication status | Published - Oct 2012 |
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Solutions of Fourier's equation appropriate for experiments using thermochromic liquid crystal. / Pountney, Oliver; Cho, GeonHwan; Lock, Gary D.; Owen, J. Michael.
In: International Journal of Heat and Mass Transfer, Vol. 55, No. 21-22, 10.2012, p. 5908-5915.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Solutions of Fourier's equation appropriate for experiments using thermochromic liquid crystal
AU - Pountney, Oliver
AU - Cho, GeonHwan
AU - Lock, Gary D.
AU - Owen, J. Michael
PY - 2012/10
Y1 - 2012/10
N2 - In transient heat-transfer experiments, the time to activate the thermochromic liquid crystal (TLC) can be used to evaluate h, the heat transfer coefficient. Most experimenters use the solution of Fourier's equation for a semi-infinite substrate with a step-change in the temperature of the fluid to determine h. The 'semi-infinite solution' can also be used to determine T ad, the adiabatic surface temperature, but this is an error-prone method suitable only for experiments with relatively large values of Bi, the Biot number. For Bi > 2, which covers most practical cases, more accurate results could be achieved using a composite substrate of two materials. Using TLC to determine the temperature-time history of the surface of the composite substrate, h and T ad could be computed from the numerical solution of Fourier's equation. Alternatively, h and T ad could be determined analytically from a combination of the semi-infinite and steady-state solutions.
AB - In transient heat-transfer experiments, the time to activate the thermochromic liquid crystal (TLC) can be used to evaluate h, the heat transfer coefficient. Most experimenters use the solution of Fourier's equation for a semi-infinite substrate with a step-change in the temperature of the fluid to determine h. The 'semi-infinite solution' can also be used to determine T ad, the adiabatic surface temperature, but this is an error-prone method suitable only for experiments with relatively large values of Bi, the Biot number. For Bi > 2, which covers most practical cases, more accurate results could be achieved using a composite substrate of two materials. Using TLC to determine the temperature-time history of the surface of the composite substrate, h and T ad could be computed from the numerical solution of Fourier's equation. Alternatively, h and T ad could be determined analytically from a combination of the semi-infinite and steady-state solutions.
UR - http://www.scopus.com/inward/record.url?scp=84864285909&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.ijheatmasstransfer.2012.06.001
U2 - 10.1016/j.ijheatmasstransfer.2012.06.001
DO - 10.1016/j.ijheatmasstransfer.2012.06.001
M3 - Article
VL - 55
SP - 5908
EP - 5915
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
SN - 0017-9310
IS - 21-22
ER -