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The minimum record time for PIV measurement in a vessel agitated by a Rushton turbine
Šulc, R. ; Ditl, P. ; Fořt, I. ; Jašíková, D. ; Kotek, M. ; Kopecký, V. ; Kysela, Bohuš
In PIV studies published in the literature focusing on the investigation of the flow field in an agitated vessel the record time is ranging from the tenths and the units of seconds. The aim of this work was to determine minimum record time for PIV measurement in a vessel agitated by a Rushton turbine that is necessary to obtain relevant results of velocity field. The velocity fields were measured in a fully baffled cylindrical flat bottom vessel 400 mm in inner diameter agitated by a Rushton turbine 133 mm in diameter using 2-D Time Resolved Particle Image Velocimetry in the impeller Reynolds number range from 50 000 to 189 000. This Re range secures the fully-developed turbulent flow of agitated liquid. Three liquids of different viscosities were used as the agitated liquid. On the basis of the analysis of the radial and axial components of the mean- and fluctuation velocities measured outside the impeller region it was found that dimensionless minimum record time is independent of impeller Reynolds number and is equalled N. t(Rmin) = 103 +/- 19.
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Local velocity scaling in T400 vessel agitated by Rushton turbine in a fully turbulent region
Šulc, R. ; Ditl, P. ; Fořt, I. ; Jašíková, D. ; Kotek, M. ; Kopecký, V. ; Kysela, Bohuš
The hydrodynamics and flow field were measured in an agitated vessel using 2-D Time Resolved Particle Image Velocimetry (2-D TR PIV). The experiments were carried out in a fully baffled cylindrical flat bottom vessel 400 mm in inner diameter agitated by a Rushton turbine 133 mm in diameter. The velocity fields were measured in the zone in upward flow to the impeller for impeller rotation speeds from 300 rpm to 850 rpm and three liquids of different viscosities (i.e. (i) distilled water, ii) a 28% vol. aqueous solution of glycol, and iii) a 43% vol. aqueous solution of glycol), corresponding to the impeller Reynolds number in the range 50 000 < Re < 189 000. This Re range secures the fully-developed turbulent flow of agitated liquid. In accordance with the theory of mixing, the dimensionless mean and fluctuation velocities in the measured directions were found to be constant and independent of the impeller Reynolds number. On the basis of the test results the spatial distributions of dimensionless velocities were calculated. The axial turbulence intensity was found to be in the majority in the range from 0.388 to 0.540, which corresponds to the high level of turbulence intensity.
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Simulation of collagen solution flow in rectangular capillary
Kysela, Bohuš ; Skočilas, J. ; Zitny, R. ; Stancl, J. ; Houska, M. ; Landfeld, A.
The viscoelastic properties of foods and polymers can be evaluated from flow of the material in capillary with specified dimension and shape. The extrusion rheometer equipped by capillary with rectangular cross-section was used for determination of the rheological behaviour of water collagen solution. The measurements of the axial profiles in longitudinal direction of the total stresses at capillary wall were performed for various shear rates. The linear viscoelastic model of Oldroyd B type: White-Metzner model was used for simulation of fluid flow in OpenFOAM software package. The simulations describe the effect of relaxation time on wall total stress in convergent-divergent capillary.
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Evaluation of the turbulent kinetic dissipation rate in an agitated vessel
Kysela, Bohuš ; Konfršt, Jiří ; Chára, Zdeněk ; Sulc, R. ; Jašíková, D.
The design of agitated tanks depends on operating conditions and processes for that are used for. An important parameter for the scale-up modelling is the dissipation rate of the turbulent kinetic energy. The dissipation rate is commonly assumed to be a function of the impeller power input. But this approach gives no information about distribution of the dissipation rate inside the agitated volume. In this paper the distributions of the dissipation rate inside the agitated vessels are estimated by evaluations of the CFD (Computational Fluid Dynamics). The results obtained from RANS (Reynolds Averaged Navier-Stokes equations) k-epsilon turbulent model and LES (Large Eddy Simulations) with Smagorinsky SGS (Sub Grid Scale) model are compared. The agitated vessels with standard geometry equipped with four baffles and stirred by either a standard Rushton turbine or a high shear impeller were investigated. The results are compared with mean dissipation rate estimated from the total impeller power input.
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Simulation of particle transport in inclined pipeline by using combination of CFD and DEM
Mildner, Michael ; Konfršt, Jiří ; Kysela, Bohuš ; Chára, Zdeněk ; Vlasák, Pavel
Numerical flow simulation of scattered coarse-grained suspensions (hydrotransport, separators, etc.) requires the use of calculations for multiphase flow. Assuming the suspension flow (eg. water and solid particles) in closed profiles without air access, the task can be simplified to a two-phase flow (water-solid particles). A suitable tool for calculating such two-phase flow is the combination of the finite volume method FVM, with the discrete element method DEM. The discrete element method is used to solve collisions between individual particles, which is a prerequisite for a real solution of more concentrated suspension flow. Numerical simulation was performed on a simple geometry of inclined pipeline, where the obtained results were compared with the results obtained on the experimental slurry transport route equipped with a foldable part.
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Distribution of the turbulent kinetic dissipation rate in an agitated vessel
Kysela, Bohuš ; Sulc, R. ; Konfršt, Jiří ; Chára, Zdeněk ; Fořt, I. ; Ditl, P.
The design of the agitated tanks depends on the proposed operating conditions and processes\nfor that they are used for. Namely dissipation rate of the turbulent kinetic energy is important\nparameter for the scale-up modelling. The dissipation rate is commonly determined as integral\nvalue based on power input of the impeller, but without information about distribution inside\nthe agitated volume. The cumulative distributions of the dissipation rate within an agitated\nvessel are estimated by evaluations of the CFD (Computational Fluid Dynamics) results,\nwhere the data was obtained from RANS (Reynolds Averaged Navier-Stokes equations) and\nLES (Large Eddy Simulations). The simulations were performed for an agitated vessel\nequipped with four baffles and stirred by a standard Rushton turbine (tank diameter 0.3 m,\nimpeller diameter 0.1 m, off-bottom clearance half of tank diameter, impeller speed 200 rpm).\nThe values of the dissipation rate from the LES calculations were approximated by computing\nthe SGS (Sub Grid Scale) dissipation rate.
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