TY - JOUR
T1 - An inverse method for determining temperature-dependent thermophysical properties based on a remotely measured temperature history
AU - Segall, A. E.
AU - Engels, D.
AU - Drapaca, C.
AU - Harris, J.
PY - 2014/5
Y1 - 2014/5
N2 - An inverse methodology for determining an unknown boundary condition or temperature dependence of a thermophysical property was derived for a semi-infinite solid with temperature-dependent properties and time-varying, surface heating. Generalization was achieved by defining the boundary condition and thermal diffusivity (or conductivity) as simple polynomials, the unknown quantity with yet-to-be determined coefficients. To accomplish this, a measured thermal response determined away from the thermally loaded surface was fit to the generalized equation with unknown coefficients determined in a least-squares sense. Results including random and compounded errors added to the surface and remote data (up to ±5% each), along with inherent values in the thermal conductivity data, indicated that the method could be used to determine either a time-varying boundary condition or a thermal property. The proposed method is advantageous in that it can assess a wide temperature range, since the formulation is ultimately based on the surface temperature provided the thermal front had not reached the back boundary. Moreover, the least-squares smoothing inherent in the process may help minimize the influence of measurement errors.
AB - An inverse methodology for determining an unknown boundary condition or temperature dependence of a thermophysical property was derived for a semi-infinite solid with temperature-dependent properties and time-varying, surface heating. Generalization was achieved by defining the boundary condition and thermal diffusivity (or conductivity) as simple polynomials, the unknown quantity with yet-to-be determined coefficients. To accomplish this, a measured thermal response determined away from the thermally loaded surface was fit to the generalized equation with unknown coefficients determined in a least-squares sense. Results including random and compounded errors added to the surface and remote data (up to ±5% each), along with inherent values in the thermal conductivity data, indicated that the method could be used to determine either a time-varying boundary condition or a thermal property. The proposed method is advantageous in that it can assess a wide temperature range, since the formulation is ultimately based on the surface temperature provided the thermal front had not reached the back boundary. Moreover, the least-squares smoothing inherent in the process may help minimize the influence of measurement errors.
UR - http://www.scopus.com/inward/record.url?scp=84893720811&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84893720811&partnerID=8YFLogxK
U2 - 10.1080/17415977.2013.848435
DO - 10.1080/17415977.2013.848435
M3 - Article
AN - SCOPUS:84893720811
SN - 1741-5977
VL - 22
SP - 672
EP - 681
JO - Inverse Problems in Science and Engineering
JF - Inverse Problems in Science and Engineering
IS - 4
ER -