Generalised steady-state cascade simulation algorithm in multiple-effect evaporation

Ayangbile, W.O.; Okeke, E.O.; Beveridge, G.S.G.

doi:10.1016/0098-1354(84)87011-8

Cited by 15 publications

(5 citation statements)

References 1 publication

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“…Mathematical modelling of evaporators has been proposed with different strategies such as the use of an interconnection matrix (Ayangbile et al, 1984) or a generalized model that enables the formulation of an equation system for any evaporation sequence using n-effects (Díaz-Ovalle et al, 2013a). The application of the latter requires the numbering of the effects by following the liquid trajectory.…”

Section: Mass and Energy Balancesmentioning

confidence: 99%

Effect of thermo-compression on the design and performance of falling-film multi-effect evaporator

Galván-Ángeles

Díaz‐Ovalle

González‐Alatorre

et al. 2015

Food and Bioproducts Processing

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Section: Mass and Energy Balancesmentioning

confidence: 99%

Effect of thermo-compression on the design and performance of falling-film multi-effect evaporator

Galván-Ángeles

Díaz‐Ovalle

González‐Alatorre

et al. 2015

Food and Bioproducts Processing

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“…Estimations of the total exergy in each process stream, necessary in Eqs. (10) and (11), were performed as follows. For the vapor phase, it is possible to perform the calculations based on Eq.…”

Section: Exergy Analysismentioning

confidence: 99%

“…[3] performs a theoretical evaluation of the process not considering the solute and solvent. Another issue in the literature is the analysis and optimization of heat exchangers or some specific processes [4][5][6][7][8][9][10], and eventually, some specific applications such as a biorefinery industry [11,16] and caustic soda solution in water [12,13]. The main concern of the literature is related to saltwater evaporation to obtain drinking water since this system is the most usual and a competitor with osmotic salt water purification [9,14,15,17,19].…”

Section: Introductionmentioning

confidence: 99%

“…It is interesting to highlight the insertion of the exergy analysis in the food industry, such as tomato juice production, ice-cream and milk. The set of nonlinear equations that mathematically represent the system consisting of the mass and energy balances plus equations describing liquid-vapor equilibrium has been the focus of papers dedicated to solution techniques for systems with different configurations [10,11]. More recently, studies have been published on the optimization of energy consumption and investment cost [3,[12][13][14], exergy analysis [7,10,[14][15][16][17] and evaluation of vapor recompression as an energy-saving alternative [6,7,9,14,17,19].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic assessment of MVR implementation in multistage evaporation plants

Mady

Bresciani

Paiva

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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A study on process alternatives for reducing steam consumption was carried out in a multistage evaporation system of a chlorine-alkali industrial complex. A phenomenological model was developed, based on the mass and energy balances and on gas-liquid equilibrium correlations for the ternary mixture of caustic soda, sodium chloride and water. The design specifications of the plant were adopted as a reference to validate the mathematical model, which comprises 153 nonlinear equations. Different process conditions were simulated by taking into account the most important process variables and their effect on steam consumption. Differently from previously published studies, in which the conservation laws are mainly focused on the heat exchangers and their optimization, the present study considers the whole multistage evaporation unit. The model also enabled to evaluate the effect of changes in the plant configuration, either by considering a side product stream at a specified concentration, designated to another production unit in the industrial complex, or by including mechanical vapor recompression, which has proven to be a better solution to reduce steam consumption from the energy and exergy points of view. Results indicate an expressive decrease in steam consumption to around 1% of the original configuration. Moreover, from the exergy perspective, if the power generation is considered, the MVR is a better choice from the energy and exergy point of view. Keywords Exergy analysis Á Caustic soda production Á Evaporation process Á Mass and energy balances List of symbols b Specific exergy (kJ/kg) B Exergy flow rate (kW) This paper is an extended and revised version of a similar work presented in the

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“…Some of the noteworthy efforts in the steady-state analysis are made by Kern (1950); Nishitani and Kunugita (1979); Ayangbile et al (1984); Jyoti and Khanam (2014); Ruan et al (2015); Verma et al (2016b). Mathematical modeling of MSE starts from application of first principles of thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

Modeling, simulation and control of the dynamics of a Heptads’ effect evaporator system used in the Kraft recovery processes

Verma

Mohammed

Mangal

et al. 2017

Transactions of the Institute of Measurement and Control

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This research article attempts to investigate the dynamic behavior of the heptads’ effect evaporator (HEE) used to concentrate the weak black liquor during the Kraft recovery process in a paper industry. In order to fully characterize the HEE unit, a complete understanding of its performance for steady state and transient conditions is required. For this purpose, a set of first order nonlinear differential equations have been developed for the backward feed flow configuration (BFFC) for an unsteady state. Further, the developed non-linear model is linearized and linear state space equations obtained. The dynamic response of the system in terms of vapor temperature and liquor concentration changes for different changes in input liquor flow rate has been investigated. The rise, delay and settling times for the temperature deviation from steady state have been found to be significantly less as compared with that for the concentration deviation. The results also indicate that each effect of HEE acts as an individual first order system. The placement of such first order systems in series makes both the liquor concentration and vapor temperatures response more sluggish progressively with each subsequent effect. Finally, a Cascade-PID control strategy has been implemented and shown to exhibit differentiated and improved dynamic performance of the HEE system versus open-loop dynamic response.

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Generalised steady-state cascade simulation algorithm in multiple-effect evaporation

Cited by 15 publications

References 1 publication

Effect of thermo-compression on the design and performance of falling-film multi-effect evaporator

Effect of thermo-compression on the design and performance of falling-film multi-effect evaporator

Thermodynamic assessment of MVR implementation in multistage evaporation plants

Modeling, simulation and control of the dynamics of a Heptads’ effect evaporator system used in the Kraft recovery processes

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