Mathematical Model for Predicting the Dissolution Behaviors of Hemicelluloses During Cold Caustic Extraction Process

AIChE Journal ◽  
2018 ◽  
Vol 65 (1) ◽  
pp. 13-17 ◽  
Author(s):  
Qing-Qing Guan ◽  
Hua-Jing Zhou ◽  
Lin-Cai Peng ◽  
Ke-Li Chen ◽  
Liang He ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Extraction Process ◽  
Cold Caustic Extraction

Kinetics and mechanism of hemicelluloses removal from cellulosic fibers during the cold caustic extraction process

2017 ◽  
Vol 234 ◽  
pp. 61-66 ◽  
Author(s):  
Jianguo Li ◽  
Huichao Hu ◽  
Hailong Li ◽  
Liulian Huang ◽  
Lihui Chen ◽  
...  
Keyword(s):  
Extraction Process ◽  
Kinetics And Mechanism ◽  
Cellulosic Fibers ◽  
Cold Caustic Extraction

scholarly journals STUDY ON MATHEMATICAL MODEL IN SIMULATING CYMBOPOGON WINTERIANUS ESSENTIAL OIL EXTRACTION BY STEAM DISTILLATION

1970 ◽  
Vol 3 (1) ◽  
Author(s):  
Nik ‘Amirah Farhana Nik Ahmad Lutfi ◽  
Mohd Farid Atan ◽  
Nazeri Abdul Rahman ◽  
Shanti Faridah Salleh ◽  
Noraziah Abdul Wahab
Keyword(s):  
Mathematical Model ◽  
Essential Oil ◽  
Steam Distillation ◽  
Maximum Yield ◽  
Process Variable ◽  
Extraction Process ◽  
Oil Extraction ◽  
Raw Material ◽  
Extraction Time ◽  
Cymbopogon Winterianus

The main objective of this study is to improve the mathematical modelling of Cymbopogon winterianus essential oil extraction by steam distillation proposed by Cassel and Vargas by minimum 5% error reduction. Two process variable of steam distillation which are extraction time and raw material state (dry or natural) has been optimized by using factorial experimental planning to obtain high yields of citronella essential oil from twig and leaves of lemongrass species Cymbopogon winterianus (C.winterianus). The optimal condition for maximum yield (0.942%) were found to be an extraction time, 4 hr, state, natural plant. The study of Cassel and Vargas was subsequently continued with five proposed kinetics model of the extraction process. The modelling of the extraction process is optimized by using one adjustable parameter of the model and the adequacy of the fit of the models to the experimental data are analyzed by using three statistical criteria that are correlation coefficient (r) ,the root mean square error (RMSE) and the mean relative deviation modulus (E). The result has shown that the mathematical model developed by Ana based on mass transfer fundamentals is the optimum mathematical model for the extraction of Cymbopogon winterianus essential oil by steam distillation.

scholarly journals Extraction Process of Intracellular Substance

2010 ◽  
Vol 4 (2) ◽  
pp. 163-166
Author(s):  
Vasil Dyachok ◽  
Keyword(s):  
Mathematical Model ◽  
Plant Material ◽  
Extraction Process ◽  
Anatomical Structure ◽  
Process Conditions ◽  
Intercellular Spaces ◽  
Process Implementation ◽  
Kinetic Coefficients ◽  
The Mathematical Model ◽  
Kinetics Of

In this study the mathematical model of the extraction process from plant material is developed, taking into account the anatomical structure of plant material, namely the presence of cellular and intercellular spaces. The solution of the model enables to determine its kinetic coefficients Dc, Dt, process conditions, and predict the kinetics of the extraction process implementation in practice.

Improvement of alkali efficiency for purification of dissolving pulp by a modified cold caustic extraction process

2017 ◽  
Vol 178 ◽  
pp. 412-417 ◽  
Author(s):  
Liang He ◽  
Qing-Qing Guan ◽  
Lin-Cai Peng ◽  
Ke-Li Chen ◽  
Xin-Sheng Chai
Keyword(s):  
Extraction Process ◽  
Dissolving Pulp ◽  
Cold Caustic Extraction

Mass Transfer Model for Extraction Process of L-Theanine across Bulk Liquid Membrane Containing Combined Carriers

2011 ◽  
Vol 236-238 ◽  
pp. 917-921
Author(s):  
Du Shu Huang ◽  
Zhao Long Huang ◽  
Rui Min Xiao ◽  
Zi Jing Li ◽  
Yan Jiang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Liquid Membrane ◽  
Extraction Process ◽  
Bulk Liquid ◽  
Transfer Model ◽  
Aliquat 336 ◽  
Bulk Liquid Membrane ◽  
Nonlinear Fitting ◽  
Reaction Rate Constants ◽  
Fitting Method

This paper deals with the extraction of L-theanine containing Aliquat 336 and Di(2-ethylhexyl)phosphate(P204) as combined carriers and cyclohexane as solvent across bulk liquid membrane. A mathematical model of transport process was deduced, the forward and the backward interfacial reaction rate constants between the feed phase, the receiving phase and the membrane phase were taken into account. Using the experimental results, several parameters of the proposed model have been achieved by a nonlinear fitting method. It is a simply mathematical model which can be easily used to predict the concentration of the extraction process.

Reactive Extraction Using Moving Liquid Membranes - Mathematical Model Calibration Through Experiments

2017 ◽  
Vol 68 (10) ◽  
pp. 2293-2306
Author(s):  
Daniel Dumitru Dinculescu ◽  
Cristiana Luminita Gijiu ◽  
Vasile Lavric
Keyword(s):  
Mathematical Model ◽  
Organic Liquid ◽  
Extraction Process ◽  
Differential Algebraic Equations ◽  
Reactive Extraction ◽  
Algebraic Equations ◽  
Orthogonal Collocation ◽  
Type Method ◽  
The Mathematical Model ◽  
Moving Liquid

A reactive extraction/back-extraction process was studied experimentally in a two-stage column. The mathematical model of the reactive extraction using a closed loop moving organic liquid membrane, based upon first principle equations, was derived as a set of Partial/Ordinary Differential Algebraic Equations (P/ODAE). The mathematical model, reduced through orthogonal collocation to a system of ODAE, was solved using a self-adaptive Runge-Kutta (RK)-type method. The mathematical model was calibrated using own batch experimental data and a modified genetic algorithm as optimizer.

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