MODELING OF BASIL ESSENTIAL OIL EXTRACTION WITH VARIABLE DIFFUSION COEFFICIENT

Silveira, Jeniffer C.; Costa, Andréa O. S. da; Costa, Esly F. da

doi:10.1590/1809-4430-Eng.Agric.v37n4p717-726/2017

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Scientific Paper, Post-Harvest Science and Technology • Eng. agríc. 37 (04) • Jul-Aug 2017 • https://doi.org/10.1590/1809-4430-Eng.Agric.v37n4p717-726/2017 copy

MODELING OF BASIL ESSENTIAL OIL EXTRACTION WITH VARIABLE DIFFUSION COEFFICIENT

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT:

Essential oils are complex mixtures of volatile compounds found at low levels in aromatic plant specific parts. Soluble in organic solvents, these oils are characterized by their fragrance and antimicrobial activity, being widely used in industries. The mathematical modeling of essential oil extraction is a relevant step in the project of industrial plants because it is about achieving optimized operational conditions. A model is available in the literature describing the extraction process of basil essential oil, based on diffusion within the leaf. Parametric equations were tested for the variable diffusion coefficient with the concentration, resulting in a significant improvement in the description process, when compared to papers presented in the literature.

KEYWORDS:
concentration variable diffusion; parameter estimation; essential oils

Correlations	Estimated parameters	SSR
D=α. Ca(x,t)	α =3.11×10^-9 m²× kg_{dry material}×(kg_{essential oil})^-1×s^-1 Ca0 = 5.82×10^-3 kg_{essential oil}×(kg_{dry material})^-1	1.11×10^-6
D= α. Ca(x,t)+β	α = 1.60×10^-13m² kg_{dry material}× (kg_{essential oil})^-1×s^-1 β=3.16×10^-11m²×s^-1 Ca0=4.27×10^-3kg_{essential oil}×(kg_{dry material})^-1	9.41×10^-7
D= α/Ca(x,t)+ β	α = −2.34× 10^-15 m²×kg_{dry material}×(kg_{essential oil})^-1×s^-1 β = 3.09×10-¹¹ m²×s^-1 Ca0 = 4.38× 10^-3 kg_{essential oil}×(kg_{dry material})^-1	9.25×10^-7
D= α. Ca^1/2(x,t)+ β	α = −3.54×10^-9 m²×kg_{dry material}×(kg_{essential oil})^-1×s^-1 β = 2.28×10^-11 m²×s^-1 Ca0 = 3.78×10^-3 kg_{essential oil}×(kg_{dry material})^-1	1.12×10^-7
D= α. Ca²(x,t)+ β	α = −7.07×10^-6 m²×kg_{dry material}×(kg_{essential oil})^-1×s^-1 β = 1.07×10^-10 m²×s^-1 Ca0 = 3.82×10^-3 kg_{essential oil}×(kg_{dry material})^-1	1.09×10^-7

Parameter	Standard error	Lower limit (95%)	Higher limit (95%)	t(12)	P value
α	9.82×10^-6	-9.21×10^-6	-4.93×10^-6	-7.20	1.09×10^-5
β	1.16×10^-11	0.82×10^-10	1.32×10^-10	9.27	8.03×10^-7
Ca0	4.03×10^-5	3.73×10^-3	3.90×10^-3	94.7	1.29×10^-18

Parameter	Value	Standard error	Lower limit (95%)	Higher limit (95%)	t(8)	P value
α	-3.13×10^-8	2.95×10^-8	-9.92×10^-8	3.67×10^-8	-1.06	0.309
β	2.38×10^-11	1.11×10^-11	0.06×10^-11	5.20×10^-11	2.36	0.0359
Ca0	2.63×10^-2	1.15×10^-3	2.11×10^-2	2.64×10^-2	20.6	9.76×10^-11

Associação Brasileira de Engenharia Agrícola SBEA - Associação Brasileira de Engenharia Agrícola, Departamento de Engenharia e Ciências Exatas FCAV/UNESP, Prof. Paulo Donato Castellane, km 5, 14884.900 | Jaboticabal - SP, Tel./Fax: +55 16 3209 7619 - Jaboticabal - SP - Brazil
E-mail: revistasbea@sbea.org.br

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[1] *Corresponding author. DEQ - UFMG/ Belo Horizonte - MG, Brasil. E-mail: esly@deq.ufmg.br

Plant material mass (kg)	0.212
Plant leaf thickness (m)	4.70×10^-4
Extraction time (s)	1800