MATHEMATICAL MODELING OF MUCILAGE EXTRACTION KINETIC FROM THE WASTE HYDROLYSATES OF FRUITING BODIES OF ZIZYPHUS JUJUBA MILL

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, 758 degrees C, 60 min, using 30 g water/g JWH led to a considerable yield (8.766 +/- 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.