Solutions of Fourier's equation appropriate for experiments using thermochromic liquid crystal
Pountney, O., Cho, G., Lock, G. D. and Owen, J. M., 2012. Solutions of Fourier's equation appropriate for experiments using thermochromic liquid crystal. International Journal of Heat and Mass Transfer, 55 (21-22), pp. 5908-5915.
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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.
|Creators||Pountney, O., Cho, G., Lock, G. D. and Owen, J. M.|
|Departments||Faculty of Engineering & Design > Mechanical Engineering|
|Research Centres||Aerospace Engineering Research Centre|
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