Simultaneous Estimation and Modeling of Thermophysical Properties of Big-Eyed Tuna and Pacific Cod

Figures & data

TABLE 1 Compositions (mass fraction and volume fraction) of each component for each sample

	Composition, %
Sample	Water	Protein	Fat	Carbohydrate	Ash
Big-eyed tuna
Mass fraction	74.0	24.0	0.7	0.2	1.1
Volume fraction	79.2	19.4	0.8	0.1	0.5
Pacific cod
Mass fraction	80.4	18.1	0.2	0.1	1.2
Volume fraction	84.8	14.4	0.2	0.1	0.5

FIGURE 1 (A) Comparison of the observed temperature changes of the probe with the results calculated from Eq. (1) for pacific cod at a temperature of 15°C. The solid line shows the calculated values from Eq. (1). (B) Empirical relationships between the thermal conductivity and the temperature for each sample. The solid line and broken line show calculated results from Eq. (6) for each sample. (C) Comparison of measured results of thermal conductivity with results calculated using Eqs. (7), (8), and (9) for big-eyed tuna. The solid line, broken line, and dot-dash-line show the results calculated from Eqs. (7), (8), and (9), respectively. (D) Empirical relationships between the thermal diffusivity and the temperature for each sample. The solid line and broken line show calculated results from Eq. (11) for each sample.

TABLE 2 The parameters, coefficients of determination (R²), root mean squared errors (RMSE), and relative errors (RE) of Eqs. (6) and (11) for each sample

Equation		Big-eyed tuna	Pacific cod
(6)	(W m^–1 °C^–2)	1.643×10^–3	1.385×10^–3
	(W m^–1 °C^–1)	4.539×10^–1	4.929×10^–1
	R^2 (–)	0.9700	0.9458
	RMSE (W m^–1 °C^–1)	4.396×10^–3	5.047×10^–3
	RE (%)	0.1–1.7	0.1–1.2
(11)	(m^2 s^–1 °C^–1)	4.949×10^–10	3.754×10^–10
	(m^2 s^–1)	1.141×10^–7	1.218×10^–7
	R^2 (–)	0.9878	0.8859
	RMSE (m^2 s^–1)	8.379×10^–10	2.050×10^–9
	RE (%)	0.1–1.0	0.1–2.7

TABLE 3 Values of the root mean squared error (RMSE) and relative error (RE) of Eqs. (7), (8), and (9) for each sample

Equation		Big-eyed tuna	Pacific cod
(7)	RMSE (W m^–1 °C^–1)	6.142×10^–2	5.621×10^–2
	RE (%)	13.4–15.7	9.3–13.2
(8)	RMSE (W m^–1 °C^–1)	3.185×10^–2	2.173×10^–2
	RE (%)	4.5–8.1	2.6–4.8
(9)	RMSE (W m^–1 °C^–1)	9.630×10^–3	1.034×10^–2
	RE (%)	0.2–2.8	0.6–2.8