Modeling of supercritical fluid flow through a yarn package

Shannon, Brent; Hendrix, Walter A.; Smith, Brent; Montero, Gerardo A.

doi:10.1016/s0896-8446(00)00078-4

Cited by 15 publications

(6 citation statements)

References 8 publications

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“…First, researchers have developed package flow empirical models based on solution of the governing differential equations for radial and axial flow modes in yarn packages. These empirical models are broadly applicable to other processing situations. , Combining these flow models with the first-order diffusion and reaction kinetics for mass transport of exhaustable materials (e.g. dyes) from the SC-CO 2 into textile substrates will provide a useful tool for analyzing and mitigating the occurrence of levelness problems related with package dyeing at optimum CO 2 flow rates .…”

Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

“…These empirical models are broadly applicable to other processing situations. , Combining these flow models with the first-order diffusion and reaction kinetics for mass transport of exhaustable materials (e.g. dyes) from the SC-CO 2 into textile substrates will provide a useful tool for analyzing and mitigating the occurrence of levelness problems related with package dyeing at optimum CO 2 flow rates . The COT package flow models include the effect of important characteristics of the fluid (e.g.…”

Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

“…The theoretical results obatined from the empirical models to date show encouraging compatiblity with very extensive pilot plant data. These are beginning to lead us to a sound fundamental knowledge of SC-CO 2 thermophysical properties and transport principles, which facilitates process and equipment design. , …”

Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

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Supercritical Fluid Technology in Textile Processing: An Overview

Montero

Smith

Hendrix

et al. 2000

Ind. Eng. Chem. Res.

146

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In light of environmental concerns, the textile industry has accelerated efforts to reduce or eliminate water consumption in all areas of yarn preparation, dyeing, and finishing. Supercritical fluid dyeing technology has the potential to accomplish this objective in many commercial textile applications around the world, both at present and in the future around the world. Increased interest in this technology has made a fundamental understanding of thermophysical (equilibrium solubility) and transport (kinetics) properties of such fluids and fluid mixtures necessary. Supercritical carbon dioxide (SC-CO2) is one of the most environmentally acceptable solvents in use today, and textile processes using it have many advantages when compared to conventional aqueous processes. − Positive environmental effects range from drastically reduced water consumption to eliminating hazardous industrial effluent. Furthermore, economic benefits include increased productivity and energy savings. Successfully commercializing supercritical fluid CO2 processing will improve the economics of dyeing and other textile chemical processes by eliminating water usage and wastewater discharges and increasing productivity by reducing processing times as well as required chemicals and auxiliaries and reducing energy consumption and air emissions. As a result, SC-CO2 processing will be more rapid, more economical, and more environmentally friendly.

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Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

Section: New Strategies For Supercritical Fluid Dyeing Processesmentioning

confidence: 99%

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Supercritical Fluid Technology in Textile Processing: An Overview

Montero

Smith

Hendrix

et al. 2000

Ind. Eng. Chem. Res.

146

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“…A few other numerical studies show bi-and tri-dimensional flow through the yarn bobbin, however, without relating it to the dye concentration. Shannon et al (2000) modeled and validated the flow of supercritical carbon dioxide through a yarn bobbin, emphasizing the importance of additional research to predict the distribution of the permeability factor. Scharf et al (2002) evaluated the velocity and pressure profile in a yarn bobbin and compared it with experimental data.…”

Section: Introductionmentioning

confidence: 99%

Influence of permeability and pressure on the dye concentration profile in acrylic yarn bobbins in bidirectional flow by simulation

Moreno

Valle

Aguiar

et al. 2020

Braz. J. Chem. Eng.

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A two-dimensional process of dyeing yarn coils was modelled in COMSOL Multiphysics to evaluate the dyeing characteristics according to a pilot-scale process. The proposed mathematical model was able to reproduce the experimental data and great importance was identified for the dyebath flow through the axial exit of the coil in relation to the radial outlet, about 2.8 times greater. To maintain the same flow, the permeability of the bobbin decreased tenfold between the radial and two-dimensional flow. Changes in the pressure gradient greatly influence the velocity field. The velocity and concentration fields found reinforce the preferential use of dyeing bobbins that do not have gaps between them, forcing the dyeing bath to follow the radial flow. Keyword Mathematical modelling • Permeability • Bobbin dyeing Abbreviations C ali Feed concentration in the inner bobbin radius (mol m −3) C i Dye concentration of the dyebath (mol m −3) C out Average dye concentration in the fluid phase of the bobbin (mol m −3) C p,j Dye conccentation in the solid phase (mol m −3) D h,j Hydrodynamic dispersion tensor (m 2 s −1) D e,j Effective diffusivity (m 2 s −1) P in Inlet pressure (Pa) P out Outlet pressure (Pa) V d Volume of dyeing bath (m 3) q p,j Adsorption isotherm (m 3 kg −1) Volume fraction of fluid phase (−) Volume fraction of solid phase (−) Specific mass of the fluid (kg m −3) Specific mass of the fiber (kg m −3) ∇ Differential operator (−) H Height of bobbin (m) Kl Langmuir constant (m 3 mol −1) Qmax Max adsorption (mol kg −1) Re External radius of bobbin (m) Ri Internal radius of bobbin (m) W Average weight of bobbin (kg) F Gravitational force (kg m −2 s −2) I Unit vector (−) P Presure (Pa) Q Volumetric flow rate of the dyeing bath (m 3 s −1) T Transposition operation (−) t Process time (s) u Velocity vector (m s −1) Viscous force coefficient (kg m −4) Permeability (m 2) Dynamic viscosity (kg m −1 s −1)

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“…Supercritical fluid polymer impregnation [4,5] is one of the prospective applications of polymer processing. As an application of polymer impregnation in supercritical fluids, supercritical fluid dyeing has been investigated since the early 1990s [6][7][8][9][10][11][12][13]. It is an environmentally safe technique, as it may replace the conventional wet-dyeing method.…”

Section: Introductionmentioning

confidence: 99%

Sorption of C. I. Disperse Red 60 in polystyrene and PMMA films and polyester and Nylon 6 textiles in the presence of supercritical carbon dioxide

Park

Tůma

Kim

et al. 2010

Korean J. Chem. Eng.

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C. I. Disperse Red 60 (DR60) was absorbed into polymer films and textile fibers in the presence of supercritical carbon dioxide at pressures between 5 and 33 MPa and at temperatures between 308.2 and 423.2 K. Polystyrene (PS) and poly(methyl methacrylate) (PMMA) films and polyester (polyethylene terephthalate: PET) and Nylon 6 textiles were used as absorbents. The amount of equilibrium sorption of dye increased both with pressure and temperature. The sorption behavior was successfully analyzed with the quasi dual-mode sorption model.

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Modeling of supercritical fluid flow through a yarn package

Cited by 15 publications

References 8 publications

Supercritical Fluid Technology in Textile Processing: An Overview

Supercritical Fluid Technology in Textile Processing: An Overview

Influence of permeability and pressure on the dye concentration profile in acrylic yarn bobbins in bidirectional flow by simulation

Sorption of C. I. Disperse Red 60 in polystyrene and PMMA films and polyester and Nylon 6 textiles in the presence of supercritical carbon dioxide

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