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Mathematical Modeling of Mucilage Extraction Kinetic from the Waste Hydrolysates of Fruiting Bodies of Zizyphus jujuba Mill
Author(s) -
Rostami Hosein,
Gharibzahedi Seyed Mohammad Taghi
Publication year - 2017
Publication title -
journal of food processing and preservation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.511
H-Index - 48
eISSN - 1745-4549
pISSN - 0145-8892
DOI - 10.1111/jfpp.13064
Subject(s) - mucilage , extraction (chemistry) , yield (engineering) , diffusion , exponential function , mathematics , hydrolysate , biological system , pulp and paper industry , chemistry , materials science , botany , thermodynamics , chromatography , physics , engineering , mathematical analysis , composite material , organic chemistry , hydrolysis , biology
Six empirical models of Elowich's logarithmic, hyperbolic, parabolic diffusion, power law, unsteady diffusion and Weibull's exponential were applied to describe the extraction kinetic of mucilage from jujube waste hydrolysate (JWH). The microwave‐assisted extraction process at 400 W, 75°C, 60 min, using 30 g water/g JWH led to a considerable yield (8.76 ± 0.17%) of mucilage. Parabolic diffusion model with R 2 of 0.9871 and the root mean square error (RMSE) of 0.3587 considered as the best kinetic equation to fit the experimental data. However, Weibull's exponential equation among the different mathematical models was not capable of predicting the extraction yield profile ( R 2 = 0.318; RMSE = 3.577). The current kinetic study can be successfully used for the design, optimal control, and economic analysis of polysaccharide extraction processes. Practical Applications This is the first report on the kinetic modeling of microwave‐assisted extraction of mucilage from acid hydrolysate of jujube waste. The different kinetic models were successfully derived for the mucilage yield. The superior mathematical model might be, thus, exploited to viably apply the technique at the industrial scale because the exact control of contact time is essential in order to obtain good quality of the final product and reduce refining costs.