Longitudinal Dispersion for Turbulent Flow in Pipes

Sittel, Chester N.; Threadgill, W. D.; Schnelle, Karl B.

doi:10.1021/i160025a007

Cited by 24 publications

(14 citation statements)

References 9 publications

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“…Equations (8) to (10) have been confirmed to agree well with equations proposed by Reichardt [22]. In present simulations, these equations were used to calculate axial velocity, U(r) of each point.…”

Section: Average Velocity Profilesupporting

confidence: 79%

“…Figure 1 shows evaluated diffusion coefficients reported in several researches. The empirical relationship proposed by Wen and Fan [18] is also plotted in Figure 1 and shows higher 59 prediction compared to [10] and [17]. Taylor's analytical solution (Equation (1)) is also plotted together with 10% error bars.…”

Section: Introductionmentioning

confidence: 99%

“…Pulsed injection measurement method by using NaCl into water stream in smooth glass pipe was conducted by Sittel, Threadgill and Schnelle [10], while Taylor [2] conducted both in smooth and artificially roughened glass pipes. Furthermore, they applied least square fitting method for their measurements, and showed higher prediction values compared to Taylor's Equation (1).…”

Section: Introductionmentioning

confidence: 99%

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Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Widiatmojo¹,

Sasaki²,

Widodo³

et al. 2013

JFCMV

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Diffusion of a solute in turbulent flows through a circular pipe or tunnel is an important aspect of environmental safety. In this study, the diffusion coefficient of turbulent flow in circular pipe has been simulated by the Discrete Tracer Point Method (DTPM). The DTPM is a Lagrangian numerical method by a number of imaginary point displacement which satisfy turbulent mixing by velocity fluctuations, Reynolds stress, average velocity profile and a turbulent stochastic model. Numerical simulation results of points' distribution by DTPM have been compared with the analytical solution for turbulent plug-flow. For the case of turbulent circular pipe flow, the appropriate DTPM calculation time step has been investigated using a constant β, which represents the ratio between average mixing lengths over diameter of circular pipe. The evaluated values of diffusion coefficient by DTPM have been found to be in good agreement with Taylor's analytical equation for turbulent circular pipe flow by giving β = 0.04 to 0.045. Further, history matching of experimental tracer gas measurement through turbulent smooth-straight pipe flow has been presented and the results showed good agreement.

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Section: Average Velocity Profilesupporting

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Widiatmojo¹,

Sasaki²,

Widodo³

et al. 2013

JFCMV

View full text Add to dashboard Cite

show abstract

“…Simulations have been carried out for the experimental data of Weiland and Onken [12] and Sittel et al [21] for multiphase flow and single phase flow, respectively. The comparison between the predicted results and experimental data is given in Tabs.…”

Section: Comparison Between Predicted and Experimental Data For D Lmentioning

confidence: 99%

“…There are several landmark papers in the literature which describe the axial disper-sion phenomena and their variation with the Reynolds number Re. Taylor [18], Keyes [19], Tichacek et al [20], Sittel et al [21], and Flint and Eisenklam [22] have performed detailed experimental studies to understand the axial dispersion in pipe flow. Ekambara and Joshi [23] have done detailed CFD analyses of axial dispersion in pipe flow, and compared the experimental dispersion parameter (D L /V L D) reported in the literature with that obtained from CFD.…”

Section: Introductionmentioning

confidence: 99%

Effect of Liquid Velocity on Axial Mixing in Gas‐Liquid Dispersions: A CFD Simulation

Roy

Joshi

2006

Chem Eng & Technol

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A CFD analysis has been carried out to elucidate the characteristic features of axial mixing in gas-liquid dispersed upflow when the flow changes between two extremes: from bubble column, with very low/no liquid velocity, to pipe flow with very high liquid velocity. The CFD model was validated by simulating flow both in multiphase and in single phase. An agreement was observed between the predictions and the experimental data available in the published literature. The validated CFD model has been extended for the simulation of the axial dispersion coefficient for both multiphase and single phase. CFD predictions of the axial dispersion coefficient show good agreement with experimental values published in the literature. A systematic numerical study was done by varying the superficial liquid velocity, from a very low value to a very high value, to understand its effect on axial dispersion.

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Axial dispersion for turbulent flow with a large radial heat flux

et al. 1990

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In 1954, G. I. Taylor derived an expression for an apparent axial dispersion coefficient for mass transfer in turbulent flow under the assumption of no mass transport between the tube wall and the fluid inside the tube. Taylor's expression has been verified in a number of experimental efforts for both mass and heat transfer. This work extends the results of Taylor to the case where there is a significant transport of heat from the tube wall to the fluid in the tube, such as in a double‐pipe heat exchanger. Using an analysis similar to Taylor's, it is shown that the apparent axial dispersion coefficient is about one order of magnitude larger when a large radial gradient is present. Experimental data on a double‐pipe heat exchanger show significantly improved correspondence with a dispersion‐based model of the system when the larger dispersion coefficients are used.

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Longitudinal Dispersion for Turbulent Flow in Pipes

Cited by 24 publications

References 9 publications

Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Discrete Tracer Point Method to Evaluate Turbulent Diffusion in Circular Pipe Flow

Effect of Liquid Velocity on Axial Mixing in Gas‐Liquid Dispersions: A CFD Simulation

Axial dispersion for turbulent flow with a large radial heat flux

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