Finite element study of multi-size particulate flow in horizontal pipes

Ravichandra, J.S.; Pagalthivarthi, Krishnan V.; Sanghi, Sanjeev

doi:10.1504/pcfd.2004.004603

Cited by 5 publications

(16 citation statements)

References 10 publications

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“…The aim of this study has been to incorporate this multi-size particulate feature in two-dimensional slurry flow prediction through pump casings. Apart from this, following the successful predictions of pipe flow and duct flow of Ravichandra et al [7] and Pagalthivathi et al [8], the present study departs in the following significant ways from the previous casing study efforts:…”

Section: Introductionmentioning

confidence: 64%

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Finite Element Prediction of Multi-Size Particulate Flow Through Three-Dimensional Pump Casing

Pagalthivarthi¹,

Furlan²,

Visintainer³

2015

Volume 1: Symposia

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Flow through centrifugal pump casing is highly complex in nature due to the complex geometry of the casing. While simplified two dimensional modeling of pump casing reveals the overall flow pattern and pressure distribution, a complete 3D model of pump casing is essential to fully capture the interaction of the primary main stream flow and the secondary flows especially in areas of heavy recirculation. This paper presents steady state finite element simulation of multi-size particulate slurry flow through three dimensional pump casing. The flow field and concentration distribution is presented for different cross-sectional planes. The multi-size particulate flow simulation results are compared with two mono-size particle simulations using (1) the concentration weighted mean diameter of the slurry and (b) the D50 size of the slurry. Qualitative comparison is made with the wear rate predicted by the simulations and the field data. Simulations and field data show that at low flow rates, the side-wall gouging wear near the tongue region becomes significant.

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Section: Introductionmentioning

confidence: 64%

“…Thus the slurry is treated as multi-size particulate mixture carried in a medium. This approach has been effectively implemented in several recent studies involving pipe flow [7], horizontal duct flow [8], and rotating channel flow [9]- [11].…”

Section: Introductionmentioning

confidence: 99%

Finite Element Prediction of Multi-Size Particulate Flow Through Three-Dimensional Pump Casing

Pagalthivarthi¹,

Furlan²,

Visintainer³

2015

Volume 1: Symposia

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“…The interaction term, , in eqn (4) essentially consists of the drag between the species 'k' and the mixture. The constitutive expressions for the stress tensors and the interaction term are dealt with in Ravichandra et al, (2004Ravichandra et al, ( , 2005; Gupta and Pagalthivarthi (2007a) and Gupta (2006), and hence they are not included herein. Note that for computing the drag term, non-spherical particles can be handled via the Heywood shape factor (Heywood, 1964).…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…The mean flow field and turbulence can both be greatly affected by the particles. Moreover, many industrial slurries are dense with a wide particulate size distribution which cannot be accurately represented by a single particle diameter; multiple size classes must be used (Kaushal et al, 2002, Ravichandra et al, 2004, Ravichandra et al, 2005.…”

Section: Introductionmentioning

confidence: 99%

“…Both these interactions are incorporated in the concentration-modified eddy viscosity model (e.g., Shook, 1984, Soo, 1984). Thus, mixing-length based concentration-modified models have been successfully employed to compute quasi three-dimensional two-phase flow in pump casings (Pagalthivarthi et al, 1990), concentration distribution in impellers Reinhardt, 1980, Zhong andLai, 1992), free surface flow in rotating channels (Ramanathan, 2001;Pagalthivarthi and Ramanathan, 2004), and recently in multi-size particulate flow in stationary channel (Ravichandra et al, 2005) and pipelines (Ravichandra et al, 2004).…”

Section: Introductionmentioning

confidence: 99%

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Multi-Size Particulate Flow through Rotating Channel — Modeling and Validation Using Three Turbulence Models

Gupta¹,

Pagalthivarthi

2009

The Journal of Computational Multiphase Flows

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A comparison of three turbulence models in modeling and validating dense multi-size particulate flow through rotating channel is presented. All the three turbulence models incoporate a rotation modification to the production term in the turbulent kinetic energy equation. In the first model, rotation-modified k-ε equations are used to compute the eddy viscosity of pure carrier which is then modified for the presence of particles. In the other two models, rotation-modified k m-ε m equations are solved for the mixture directly. The eddy viscosities are then computed from k m and ε m. The predicted results of all three models show excellent mesh independence. The coarsest mesh satisfied the mass conservation to within 0.1%. The code based on pure carrier-phase eddy viscosity (modified for concentration) is computationally 2-3 times more efficient than the other two (mixture-based) models. The predicted results using all three turbulence models are compared against applicable experimental results in the open literature. Regression between the computed and experimental results shows excellent agreement between the two.

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Wear Prediction in Fully Developed Multi-Size Particulate Flow in Horizontal Pipelines

Pagalthivarthi¹,

Ravichandra

Sanghi

et al. 2009

The Journal of Computational Multiphase Flows

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Erosion wear prediction in fully developed multi-size particulate flow through horizontal pipes is carried out numerically using Galerkin finite element methodology. The predicted multi-size particulate flow field near the pipe wall is correlated with wear rates via empirically determined wear coefficients. The wear models for particle impact and sliding take into account the broad particle size distribution. The effects of various operating parameters such as flow rate, solids concentration, solids density, particle size, particle size distribution and so forth has been studied. Normalized predicted wear rates are compared with published experimental results and are found to be within an average error of 16.5% with respect to experimental observations. Different wear trends with different flow parameters indicate the existence of a very complex relationship between wear rate and the flow governing parameters. A major conclusion is that accurate wear prediction could be obtained by characterizing the particle size distribution into suitable number of size classes, and accounting for the particle-size dependence in the wear model(s).

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Finite element study of multi-size particulate flow in horizontal pipes

Cited by 5 publications

References 10 publications

Finite Element Prediction of Multi-Size Particulate Flow Through Three-Dimensional Pump Casing

Finite Element Prediction of Multi-Size Particulate Flow Through Three-Dimensional Pump Casing

Multi-Size Particulate Flow through Rotating Channel — Modeling and Validation Using Three Turbulence Models

Wear Prediction in Fully Developed Multi-Size Particulate Flow in Horizontal Pipelines

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