. 2021 Jun 30;10(7):1513. doi: 10.3390/foods10071513

Table 5.

Calculated adjustable parameters of Models VII and VIII applied for SFE modeling.

Sample		c_u	n	N_mg		x_u		γ		t_i	G	t’		τ_e		k_fa ₀		r	k_sa_s		q_m		τ_i	β_m		q_n
Sample		-	-	g		kg/kg		-		min	-	min		-		-		-	-
1		0.8	4	23.764		4		0.327		372.99	0.102	43.637		0.023		833.043		0.07	0.033		0.326		576.228	0.94		23.907
2		0.84	4	19.011		5.25		0.437		192.158	0.32	52.612		0.019		625.744		0.271	0.051		0.277		233.86	1.922		17.652
3		0.75	3	29.705		3		0.444		86.507	0.337	30		0.024		625.744		0.298	0.114		0.226		133.366	1.893		11.376
4		0.8	6	23.764		4		0.378		260.264	0.303	86.675		0.027		418.445		0.21	0.044		0.65		250.59	0.814		39.538
5		0.75	5	29.705		3		0.444		128.779	0.362	58.852		0.024		314.795		0.285	0.084		0.338		90.354	0.813		21.36
6		0.82	4	21.388		4.556		0.41		136.522	0.362	41.524		0.021		833.043		0.309	0.071		0.388		239.789	1.609		23.604
7		0.85	5	17.823		5.667		0.374		310.699	0.162	58.866		0.024		1247.642		0.117	0.043		1.049		703.984	0.705		83.137
8		0.8	6	23.764		4		0.374		472.761	0.157	90		0.018		625.744		0.081	0.031		0.325		366.712	0.616		39.529
9		0.821	4	21.269		4.587		0.464		68.689	0.41	45.964		0.024		625.744		0.294	0.151		0.381		100.475	0.874		23.14
10		0.87	4	15.447		6.692		0.378		233.799	0.242	44.185		0.027		1247.642		0.197	0.042		0.844		817.438	1.98		38.48
11		0.84	5	19.011		5.25		0.412		204.36	0.307	60		0.023		833.043		0.25	0.052		0.771		366.737	1.126		46.95
12		0.81	6	22.576		4.263		0.417		258.224	0.295	90.179		0.025		625.744		0.195	0.046		0.941		344.703	0.759		62.399
13		0.805	4	23.17		4.128		0.412		147.646	0.291	45		0.025		625.744		0.229	0.069		0.395		226.263	1.357		21.177
14		0.8	5	23.764		4		0.412		155.992	0.347	57.696		0.024		625.744		0.279	0.07		0.665		220.058	0.932		39.634
15		0.84	4	19.011		5.25		0.437		53.969	0.471	45		0.019		1247.642		0.252	0.201		0.34		119.523	0.747		28.358
16		0.855	4	17.229		5.897		0.410		89.561	0.433	43.441		0.023		1247.642		0.363	0.108		0.7		261.033	1.26		39.709
17		0.835	4	19.605		5.061		0.464		64.359	0.482	45		0.026		833.043		0.383	0.151		0.669		146.096	1.024		33.934
18		0.875	6	14.852		7		0.327		373.873	0.367	83.298		0.025		1662.241		0.315	0.025		2.342		1636.46	1.782		116.163
19		0.8	4	23.764		4		0.410		254.62	0.146	41.478		0.025		418.445		0.099	0.047		0.212		216.523	1.018		13.812
Raw Material and Extractor Properties
Porosity -	m -				m_in g		Moisture %		N_g g		D m		L m		d_a kg/m³		d_r kg/m³			d_p m		a_o m⁻¹			ρ_{CO2 std.} kg/m³
0.5	9				130		8.6		118.82		0.037		0.12		1007.555		2015.11			0.001		4048.814			1.98

c_u—asymptotic extraction yield at infinite time; n—period corresponding to the end of the first extraction period; N_mg—mass of insoluble solid; x_u—concentration of oil in the untreated solid (oil/insoluble solid); γ—CO₂ to solid ratio in the bed; t_i—characteristic time of the second extraction period; G—initial fraction of solute in open cells; t’—time at the end of the first extraction period; τ_e—external material transport resistance; k_fa₀—product k_f · a₀; r—grinding efficiency; k_sa_s—product k_s · a_s; q_m—q at the end of the first extraction period; τ_i—internal material transport resistance; β_m—coefficient; q_n—q at the end of the second extraction period; m—number of experimental points; m_in—cherry seed mass; N_g—total dried mass (oil + insoluble solid); D—reactor diameter; L—reactor length; d_a—cherry seed apparent density; d_r—cherry seed real density; d_p—particle diameter; a_o—specific area per unit volume of extraction bed; ρ_{CO2 std}—CO₂ density at standard conditions.