Optimization of multiple-effect evaporation in the pulp and paper industry using response surface methodology

Diel, Cristiano Luiz; Canevesi, Rafael Luan Sehn; Zempulski, Denise Aparecida; Awadallak, J.A.; Borba, Carlos Eduardo; Palú, Fernando; Silva, Edson Antônio da

doi:10.1016/j.applthermaleng.2015.10.136

Cited by 29 publications

(5 citation statements)

References 9 publications

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“…Basically, response surface methodology (RSM) is a statistical-mathematical method, which utilized for an empirical model constructing, i.e., developing a mathematical model of the second-order response surface involving with best fittings. In this response surface method, the relationships between several explanatory variables (inputs) and one or more response parameters (outputs) are predicted [43][44][45]. A robust software of Design-Expert 12 was employed in this study to analyze the numerical data, proceed with RSM and obtain two-dimensional and three-dimensional response graphs.…”

Section: Eccentric Annulus Cylindersmentioning

confidence: 99%

Convective Heat Transfer in an Annulus of Concentric and Eccentric Cylinders with an Inner Rotating Cylinder

Abed¹,

Al‐damook²,

Khalil³

2021

IJHT

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This numerical study details the engine oil flow behaviour of convective heat transfer through a concentric and an eccentric annulus formed between a heated inner rotating cylinder and a cooled outer stationary cylinder. The three-dimensional governing equations for continuity, momentum, and energy have been solved using a finite volume method (FVM). The computational simulations are developed using well-known commercial software ANSYS-FLUENT. Besides this, a sensitivity analysis is executed via response surface methodology (RSM) using the statistical software of Design-Expert 12 to predict the optimum design that improves the hydrothermal performance in an eccentric annular cylinder. The findings are reported for numerical calculations of the moment coefficient (Cmc), surface temperature (Ts) of the inner rotating cylinder and Nusselt number (Nu) for a range of values of (0.25 -0.75) aspect ratio (R*), (0.5 -2.5 cm) eccentricity (E), (0° -180°) inclination angle of the inner rotating cylinder (θ) and a wide range of Taylor number (Ta) of (2 -4.5×104). In the case of a concentric annular cylinder, the averaged Nusselt number increases by increasing the Taylor number and decreasing the aspect ratio. Also, increasing the Taylor number and decreasing the aspect ratio causes a gradual decrease in the moment coefficient and surface temperature of the inner rotating cylinder. Whereas in the case of the eccentric annular cylinder, the maximum averaged Nusselt number and minimum surface temperature with the moderate value of moment coefficient are obtained at the optimum case of 2.5 cm eccentricity and 180° inclination angle, which are considered the optimum-estimated parameters of the eccentric annular gap. The influences of these physical parameters are graphically depicted in terms of velocity contours and temperature fields. Therefore, the rotation of the inner cylinder is shown to have a significant impact on the thermal-flow field of confined fluid.

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Section: Eccentric Annulus Cylindersmentioning

confidence: 99%

Convective Heat Transfer in an Annulus of Concentric and Eccentric Cylinders with an Inner Rotating Cylinder

Abed¹,

Al‐damook²,

Khalil³

2021

IJHT

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“…Regression models have to pass several statistical performance tests for accuracy assurance. ANOVA, introduced by Fisher, is a collection of standard statistical indicators to identify the best fitted model omitting the insignificant terms [56][57][58]. All of the statistical indicators, including Sum of Squares (SS), Degree of Freedom (DOF), Mean Squares (MS), F-value, P-value, R 2 , and adj-R 2 were calculated in ANOVA procedure and gathered in Table 7.…”

Section: Analysis Of Variance (Anova)mentioning

confidence: 99%

Optimization and sensitivity analysis of magneto-hydrodynamic natural convection nanofluid flow inside a square enclosure using response surface methodology

Pordanjani

Vahedi

Rikhtegar

et al. 2018

J Therm Anal Calorim

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This article studies buoyancy-driven natural convection of a nanofluid affected by a magnetic field within a square enclosure with an individual conductive pin fin. The effects of electromagnetic forces, thermal conductivity, and inclination angle of pin fin were investigated using non-dimensional parameters. An extensive sensitivity analysis was conducted seeking an optimal heat transfer setting. The novelty of this work lies in including different contributing factors in heat transfer analysis, rigorous analysis of design parameters, and comprehensive mathematical analysis of solution domain for optimization. Results showed that magnetic strength diminished the heat transfer efficacy, while higher relative thermal conductivity of pin fin improved it.Based on the problem settings, we also obtained the relative conductivity value in which the heat transfer is optimal. Higher sensitivity of heat transfer was, though, noticed for both magnetic strength and fin thermal conductivity in comparison to fin inclination angle. Further studies, specifically with realistic geometrical configurations and heat transfer settings, are urged to translate current findings to industrial applications.

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“…Single stage hypochlorite bleaching was adopted at 52 °C for 25 min in a water bath. Mixing was accomplished by means of stirring every 10 min in order to make the bleaching reaction better; 8% sodium hydroxide was applied to adjust the pH, and the pH values of the bleaching solution were measured before the reaction, during bleaching, and after the reaction (Diel et al 2016).…”

Section: Raw Materialsmentioning

confidence: 99%

Influence of Residual Black Liquor in Pulp on Wastewater Pollution after Bleaching Process

Chen

Lei

et al. 2017

BioResources

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The influence of residual black liquor in pulp on wastewater pollution after the bleaching process was studied. The results show that the CODCr in bleaching effluent has a remarkable linearity with bleaching loss of pulps without residual black liquor. For pulps with some residual black liquor, more than 34% of the overall CODCr is produced by the residual black liquor. It follows that more effective washing to reduce the residual black liquor is an appropriate way to control the pollutant discharges from pulp and paper mill industry.

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Optimization of multiple-effect evaporation in the pulp and paper industry using response surface methodology

Cited by 29 publications

References 9 publications

Convective Heat Transfer in an Annulus of Concentric and Eccentric Cylinders with an Inner Rotating Cylinder

Convective Heat Transfer in an Annulus of Concentric and Eccentric Cylinders with an Inner Rotating Cylinder

Optimization and sensitivity analysis of magneto-hydrodynamic natural convection nanofluid flow inside a square enclosure using response surface methodology

Influence of Residual Black Liquor in Pulp on Wastewater Pollution after Bleaching Process

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