The use of the orthogonal collocation method on the study of the drying kinetics of soybean seeds

2006 ◽  
Vol 42 (3) ◽  
pp. 348-356 ◽  
Author(s):  
M.A.S. Barrozo ◽  
H.M. Henrique ◽  
D.J.M. Sartori ◽  
J.T. Freire
Keyword(s):  
Collocation Method ◽  
Drying Kinetics ◽  
Soybean Seeds ◽  
Orthogonal Collocation ◽  
Kinetics Of

Drying Kinetics of Continuous and Intermittent Heat Pump Drying of Green Soybean Seeds

2017 ◽  
Vol 13 (11) ◽  
Author(s):  
Haibo Zhao ◽  
Zhao Yang ◽  
Zhichao Tao
Keyword(s):  
Experimental Data ◽  
Heat Pump ◽  
Drying Kinetics ◽  
Percentage Error ◽  
Drying Rate ◽  
Soybean Seeds ◽  
Mean Square ◽  
Chi Square ◽  
Heat Pump Drying ◽  
Kinetics Of

AbstractThis paper is concerned with drying kinetics and models of heat pump drying (HPD) of green soybean. Experiments were done for continuous and intermittent drying with intermittency of 1, 3 and 6. Drying rate decreases sharply in continuous HPD process, while circuitously in intermittent HPD process. Peak drying rate values appear in every drying period of intermittent drying and differ a lot because of different intermittent ratios. In addition, various mathematical models were investigated to describe the HPD kinetics of green soybean seeds. Fitting suitability of the experimental data by models was specified as comparing the coefficient of correlation (R2), mean absolute percentage error (EMD%), Chi-squareΧ2and root mean square error (ERMS). The page model and 23rd model were found to be the most suitable models in describing the continuous and intermittent drying of green soybeans, respectively.

Drying kinetics of processed natural coffee with high moisture content

2017 ◽  
Vol 12 (3) ◽  
pp. 400 ◽  
Author(s):  
Valdiney Cambuy Siqueira ◽  
Flávio Meira Borém ◽  
Guilherme Euripedes Alves ◽  
Eder Pedroza Isquierdo ◽  
Afonso Celso Ferreira Pinto ◽  
...  
Keyword(s):  
Moisture Content ◽  
Drying Kinetics ◽  
High Moisture Content ◽  
High Moisture ◽  
Kinetics Of

Objetivou-se, com o presente trabalho, propor um novo método de processamento e secagem, assim como avaliar o comportamento dos grãos submetidos a este processo, por meio da taxa de redução de água e do ajuste de diferentes modelos matemáticos aos dados experimentais da secagem. Os frutos colhidos no estágio maduro foram divididos em três lotes. O primeiro foi seco continuamente à temperatura de 40±1 °C. O segundo consiste na secagem do café natural até os teores de água de 0,56±0,02, 0,41±0,02, 0,28±0,02 e 0,20±0,02 decimal (base seca, b.s.), seguido de beneficiamento e secagem contínua nas temperaturas de 35±1 ºC e 40±1 ºC. O terceiro lote correspondeu à secagem contínua do café descascado e desmucilado na temperatura de 40±1 °C. Em todos os lotes, a secagem foi encerrada quando os grãos atingiram o teor de água de 0,12±0,05 (b.s.). Aos dados experimentais da secagem foram ajustados dez modelos matemáticos utilizados para representação da secagem dos produtos agrícolas. Além da representação da cinética de secagem foi avaliada a taxa de redução de água dos grãos. Conclui-se que a taxa de redução de água é maior para a temperatura de secagem de 40±1 °C, especialmente para maiores teores de água. O tempo total de secagem do café beneficiado com alto teor de água é expressivamente reduzido, quando comparado ao tempo de secagem completa do café natural. O modelo de Midilli descreve satisfatoriamente a cinética de secagem do café beneficiado.

Influence of the spray drying operating conditions on the estimated drying kinetics of emulsion single droplets and the properties of microencapsulated chia oil

2021 ◽  
Vol 383 ◽  
pp. 302-317
Author(s):  
M. Gabriela Bordón ◽  
Noelia P.X. Alasino ◽  
Vanina Martínez ◽  
Regina Gauna Peter ◽  
Ramiro Iturralde ◽  
...  
Keyword(s):  
Spray Drying ◽  
Drying Kinetics ◽  
Operating Conditions ◽  
Single Droplets ◽  
Kinetics Of ◽  
Chia Oil

scholarly journals Simulation of natural drying kinetics of carrot (Daucus carota L) on thickness variation

2021 ◽  
Vol 782 (3) ◽  
pp. 032086
Author(s):  
B Haryanto ◽  
T R F Sinuhaji ◽  
E A Tarigan ◽  
M B Tarigan ◽  
N A Br Sitepu
Keyword(s):  
Daucus Carota ◽  
Drying Kinetics ◽  
Thickness Variation ◽  
Daucus Carota L ◽  
Kinetics Of ◽  
Natural Drying

Solution of the Pellet Equation by use of the Orthogonal Collocation and Least Squares Methods: Effects of Different Orthogonal Jacobi Polynomials

2012 ◽  
Vol 10 (1) ◽  
Author(s):  
Jannike Solsvik ◽  
Hugo Jakobsen
Keyword(s):  
Numerical Methods ◽  
Least Squares ◽  
Collocation Method ◽  
Jacobi Polynomial ◽  
Jacobi Polynomials ◽  
Least Squares Method ◽  
Condition Numbers ◽  
Orthogonal Collocation ◽  
Point Distribution ◽  
Boundary Points

Two numerical methods in the family of weighted residual methods; the orthogonal collocation and least squares methods, are used within the spectral framework to solve a linear reaction-diffusion pellet problem with slab and spherical geometries. The node points are in this work taken as the roots of orthogonal polynomials in the Jacobi family. Two Jacobi polynomial parameters, alpha and beta, can be used to tune the distribution of the roots within the domain. Further, the internal points and the boundary points of the boundary-value problem can be given according to: i) Gauss-Lobatto-Jacobi points, or ii) Gauss-Jacobi points plus the boundary points. The objective of this paper is thus to investigate the influence of the distribution of the node points within the domain adopting the orthogonal collocation and least squares methods. Moreover, the results of the two numerical methods are compared to examine whether the methods show the same sensitivity and accuracy to the node point distribution. The notifying findings are as follows: i) The Legendre polynomial, i.e., alpha=beta=0, is a very robust Jacobi polynomial giving the better condition number of the coefficient matrix and the polynomial also give good behavior of the error as a function of polynomial order. This polynomial gives good results for small and large gradients within both slab and spherical pellet geometries. This trend is observed for both of the weighted residual methods applied. ii) Applying the least squares method the error decreases faster with increasing polynomial order than observed with the orthogonal collocation method. However, the orthogonal collocation method is not so sensitive to the choice of Jacobi polynomial and the method also obtains lower error values than the least squares method due to favorable lower condition numbers of the coefficient matrices. Thus, for this particular problem, the orthogonal collocation method is recommended above the least squares method. iii) The orthogonal collocation method show minor differences between Gauss-Lobatto-Jacobi points and Gauss-Jacobi plus boundary points.

Empirical correlations for drying kinetics of some fruits and vegetables

Energy ◽  
2002 ◽  
Vol 27 (9) ◽  
pp. 845-859 ◽  
Author(s):  
A.A. El-Sebaii ◽  
S. Aboul-Enein ◽  
M.R.I. Ramadan ◽  
H.G. El-Gohary
Keyword(s):  
Fruits And Vegetables ◽  
Drying Kinetics ◽  
Empirical Correlations ◽  
Kinetics Of
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