Modeling and simulation of the soybean oil meal desolventizing–toasting process

Paraíso, Paulo Roberto; Cauneto, Heitor; Zemp, Roger Josef; Andrade, Cid Marcos Gonçalves

doi:10.1016/j.jfoodeng.2007.10.010

Cited by 11 publications

(21 citation statements)

References 8 publications

(12 reference statements)

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“…The enthalpies of the vapor and liquid streams are:

{H^{V}}_{j} = \sum_{i = 1}^{C} y_{j, i} ((), A_{i} + B_{i} T + C_{i} T^{2})

{H^{L}}_{j} = \sum_{i = 1}^{C} x_{j, i} ((), a_{i} + b_{i} T + c_{i} T^{2})

it is observed, unlike the enthalpy equations presented in Paraíso et al (), the nonlinear temperature dependence of enthalpy. The respective partial derivatives are:

\frac{\partial {H^{V}}_{j}}{\partial T_{j}} = \sum_{i = 1}^{C} y_{j, i} ((), B_{i} + 2 C_{i} T)

\frac{\partial {H^{L}}_{j}}{\partial T_{j}} = \sum_{i = 1}^{C} x_{j, i} ((), b_{i} + 2 c_{i} T)

…”

Section: Methodsmentioning

confidence: 79%

“…It can be used to optimize the process of extracting soybean oil. With regard to the work of Paraíso et al () presents improvements mainly in the rigorous calculation of the thermodynamics equilibrium. The comparison of the results obtained from the simulation of the proposed model and the data of a real DT are presented in Table , where it can be seen that they are very close, and the maximum error does not reach 8%.…”

Section: Resultsmentioning

confidence: 99%

“…The comparison between Paraíso et al () equation and Equation , shows the difference regarding the mass fraction in gaseous phase ( y i,j ). This fraction includes all gaseous components in Equation .…”

Section: Methodsmentioning

confidence: 98%

“…According to Seader and Henley (), the algorithm used is a key element to solve the mass, energy and equilibrium equations successfully, because these equations are reorganized as linear equations, independent of composition, and with T j and V j as iterative variables. These equations, known as “M Modified Equations,” are solved by component, using Gauss Elimination Method, as presented by Paraíso et al ().…”

Section: Methodsmentioning

confidence: 99%

“…d. Improvement in the calculation of the gas–liquid equilibrium constant: Differently from the method presented by Paraíso et al (), the gas–liquid equilibrium constant in each stage was calculated with Equations :

y_{w} = \frac{{P_{w}}^{sat} ((), T)}{P_{j}}

…”

Section: Methodsmentioning

confidence: 99%

See 4 more Smart Citations

Modeling, simulation, and analysis of a soybean meal desolventizing equipment

Cauneto

Zanin

Andrade

et al. 2019

J Food Process Engineering

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This study presents a mathematical modeling for the simulation of the desolventizing process occurring in a Desolventizer‐Toaster (DT) equipment. This equipment is used for the separation and recovery of hexane from soybean meal exiting the extractor. The model allows testing and determining the most adequate operational process conditions. It also allows establishing relations among these conditions and the DT output variables. The DT has been modeled as a column of several stages, satisfying the mass and energy balances and the vapor–liquid equilibrium relation at each stage. The mathematical model, implemented with the Matlab™ software and validated with actual plant data, gives satisfactory results. Therefore, the model proposed can be used with confidence by industry for improvements of the DT operational conditions. Practical applications The developed model can be used to optimize the desolventization process, with respect to the recovery of Hexane and the use of energy.

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“…The enthalpies of the vapor and liquid streams are:

{H^{V}}_{j} = \sum_{i = 1}^{C} y_{j, i} ((), A_{i} + B_{i} T + C_{i} T^{2})

{H^{L}}_{j} = \sum_{i = 1}^{C} x_{j, i} ((), a_{i} + b_{i} T + c_{i} T^{2})

it is observed, unlike the enthalpy equations presented in Paraíso et al (), the nonlinear temperature dependence of enthalpy. The respective partial derivatives are: