R12B10T1	transient heat conduction in cylindrical coordinate for constant temperature boundary condition
R22B10T1	transient heat conduction in a hollow cylinder with heat flux on the inside and insulated on the outside for rapid heating condition
RMSE	root meat square error
a, b	parameters in linear model
$\beta$	parameter
$X_i^{\prime }$	scaled sensitivity coefficient, °C
$\mu$	prior information of parameter vector, $\beta$, W m−1 K−1
$C_h$	volumetric capacity of heater, J m−3 K−1
$C_{TC}$	volumetric capacity of thermocouple, J m−3 K−1
$C_1$	volumetric heat capacity of sample, J m−3 K−1 at $T_1$
$C_2$	volumetric heat capacity of sample, J m−3 K−1 at $T_2$
$f_k$	dimensionless thermal conductivity as a function of temperature
$f_C$	dimensionless heat capacity as a function of temperature
$g_0$	power, W m−3
$k$	thermal conductivity of sample, W m−1 K−1
$k_h$	thermal conductivity of heater, W m−1 K−1
$k_{TC}$	thermal conductivity of thermocouple, W m−1 K−1
$k_C$	thermal conductivity in single parameter model, W m−1 K−1
$k_1, k_2$	parameters used in k model
$LCI$	95% lower confidence interval of parameters
$i$	index
$n$	number of responses
$r$	radial position, m
$R$	resistance of the heater, $\mathsf{\Omega }$
$R_0$	centerline of the cylinder, $R_0=0$
$R_1$	interface of heater and sample, m
$R_2$	wall of the cup, m
$R_A$	interface of thermocouple and sample, m
$R_B$	wall of the cup, m
RE	Relative error of parameter
$T$	temperature, °C
$T\left(t\right)$	temperature at $t,$ °C
$T_0$	initial temperature of sample, °C
$T_1$	initial temperature for thermal properties, °C
$T_2$	final temperature for thermal properties, °C
$t$	time, s
$U$	inverse covariance matrix of parameters
$UCI$	95% upper confidence interval of parameters
$W$	inverse of covariance matrix of errors
$Y$	experimental response variable
$\widehat{Y}$	predicted response variable
ZA	total height of cylinder for (R12B10T1) experiment, mm
Z 1	total height of cylinder for (R22B10T1) experiment, mm
$z$	axial position, m