Table 1. Physical properties and general... | Emerald Publishing

Table 1.

Physical properties and general constants for the direct problem

Variable	Aluminum tube (Pagliarini et al., 2021a)	Sapphire tube (Cattani et al., 2019)
L [m]	0.1	0.04
t_f [s]	20	2
r_i [m]	0.0015	0.001
r_e [m]	0.0025	0.002
k [W/m · K]	201	27
h [W/m² · K]	10	5
T_∞ [K]	295.15	294.18
ρ [kg/m³]	2,700	3,970
c_p [J/kg · K]	900	419
Δz_meas [m]	0.001	0.001
Δt_meas [s]	0.02	0.02
M	101	41
N	1,001	101
Maximum discrepancy between the thin-wall and the full model for T on r = r_e from t = 0 to t_f [K]	0.025	0.034
Average discrepancy between the thin-wall and the full model for T on r = r_e from t = 0 to t_f [K]	0.008	0.017

Variable	Aluminum tube (Pagliarini et al., 2021a)	Sapphire tube (Cattani et al., 2019)
L [m]	0.1	0.04
t_f [s]	20	2
r_i [m]	0.0015	0.001
r_e [m]	0.0025	0.002
k [W/m · K]	201	27
h [W/m² · K]	10	5
T_∞ [K]	295.15	294.18
ρ [kg/m³]	2,700	3,970
c_p [J/kg · K]	900	419
Δz_meas [m]	0.001	0.001
Δt_meas [s]	0.02	0.02
M	101	41
N	1,001	101
Maximum discrepancy between the thin-wall and the full model for T on r = r_e from t = 0 to t_f [K]	0.025	0.034
Average discrepancy between the thin-wall and the full model for T on r = r_e from t = 0 to t_f [K]	0.008	0.017