Assessment of the kinetic–frictional model for dense granular flow

Ng, Boonho; Ding, Yulong; Ghadiri, Mojtaba

doi:10.1016/j.cpart.2007.10.002

Cited by 17 publications

(4 citation statements)

References 47 publications

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“…Friction leads to a coupling of rotational and translational degrees of freedom [190][191][192][193][194] and (due to dissipation) to non-equipartition of energies [142,143,157,158,195], and correlations between the different degrees of freedom [166]. The presence of friction and the rotational degrees of freedom has been related to a random restitution coefficient [196,197], however, we disregard here this stochastic approach to a deterministic problem.…”

Section: Frictionmentioning

confidence: 99%

Towards dense, realistic granular media in 2D

Luding¹

2009

Nonlinearity

133

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The development of an applicable theory for granular matter -with both qualitative and quantitative value -is a challenging prospect, given the multitude of states, phases and (industrial) situations it has to cover. Given the general balance equations for mass, momentum, and energy, the limiting case of dilute and almost elastic granular gases, where kinetic theory works perfectly well, is the starting point.In most systems, low density coexists with very high density, where the latter is an open problem for kinetic theory. Furthermore, many additional non-linear phenomena and material properties are important in realistic granular media, involving, e.g.: (i) multi-particle interactions and elasticity (ii) strong dissipation, (iii) friction, (iv) long-range forces and wet contacts (v) wide particle size-distributions, and (vi) various particle shapes. Note that, while some of these issues are more relevant for high density, others are important for both low and high densities; some of them can be dealt with by means of kinetic theory, some can not. This paper is a review of recent progress towards more realistic models for dense granular media in 2D, even though most of the observations, conclusions, and corrections given are qualitatively true also in 3D. Starting from an elastic, frictionless and monodisperse hard sphere gas, the (continuum) balance equations of mass, momentum and energy are given. The equation of state, the (Navier-Stokes level) transport coefficients and the energy-density dissipation rate are considered. Several corrections are applied to those constitutive material laws -one by one -in order to account for the realistic physical effects and properties listed above.

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Section: Frictionmentioning

confidence: 99%

Towards dense, realistic granular media in 2D

Luding¹

2009

Nonlinearity

133

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“…In the calculation process, there are some assumptions: (1) both flow and heat transfer are steady-state processes, and (2) the fluid medium adopts constant physical properties, regardless of the relationship between temperature and pressure. Hence, the governing equations of the Eulerian–Eulerian model are as follows , …”

Section: Physical Model and Numerical Methodsmentioning

confidence: 99%

Particulate Fouling Analysis and Optimization of Heat Transfer Tubes Inserted with a Self-Rotating Rotor Coupled with RSM and MOGA

Xie,

Wu,

Wang

et al. 2024

Ind. Eng. Chem. Res.

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Particulate fouling, a typical scaling formation in heat transfer tubes, is a crucial cause of pipe clogging and thermal efficiency reduction. We innovatively proposed a new type of self-rotating rotor inserted into tubes to improve the antifouling performance and employed the Eulerian−Eulerian model incorporating an empirical fouling model that accounted for both particle deposition and removal mechanisms. Additionally, we utilized the multiple reference frame (MRF) model to simulate the rotation of the self-rotating rotor at various flow rates. To investigate the influence of the configuration parameters and optimize the thermal and antifouling performance of the self-rotating rotor, we combined the response surface method (RSM) with a multiobjective genetic algorithm (MOGA). First, we observed that the temperature increment initially increased and then decreased with increasing in velocity. Moreover, the temperature increment initially decreases and then increases with an increase in the width of the rotor, and it decreases as the pitch of the rotor increases. The fouling resistance decreases with increasing velocity, while the relationship between fouling resistance and width/pitch varies with velocity. To determine the sensitivity of the temperature increment and fouling resistance to the configuration parameters, we conducted local sensitivity analyses, demonstrating that pitch had the most significant effect on the temperature increment, followed by velocity, while width exhibited the least influence. Furthermore, the fouling resistance was found to be highly sensitive to changes in velocity with a sensitivity value of −96.01%. Based on Pareto set analysis, we identified an optimal configuration that resulted in a 9.4% enhancement in the temperature increment and a 59.3% reduction in fouling resistance. These findings can serve as valuable references for the selection and design of self-rotating rotors.

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“…Ng et al [115] assessed the frictional-kinetic model by simulating dense phase granular flow, in particular, Couette type flow. By adding a constant to the frictional stress model as shown in equation 37, the influence of frictional stress to the dense granular flow behaviour was studied.…”

Section: Modified Frictional-kinetic Model 41 Review Of Frictional-kmentioning

confidence: 99%

CFD simulation methodology for gas-solid flow in bypass pneumatic conveying – A review

Wang

Williams²,

Jones³

et al. 2017

Applied Thermal Engineering

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This paper presents a review of numerical models for simulation of gas-solid flow in bypass pneumatic conveying. The kinetic theory, conventional frictionalkinetic model and a new modified frictional-kinetic model are described in some detail. The experimental results for pressure drops based on a number of test cases are presented and compared with numerical results obtained with different numerical models. The convergences of the modified frictional-kinetic model with different values of constants are also illustrated. Moreover, the fluidisation charts of different materials with flow mode boundaries are presented to provide guidance on what frictional approach to use for Computational Fluid Dynamics (CFD) analysis of gas-solid flow in a bypass pneumatic conveying system. Furthermore, a flow chart for the CFD simulation methodology of bypass pneumatic conveying is demonstrated. These outcomes and the associated design guidelines could assist in choosing the most appropriate models for simulation of pneumatic conveying.

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Assessment of the kinetic–frictional model for dense granular flow

Cited by 17 publications

References 47 publications

Towards dense, realistic granular media in 2D

Towards dense, realistic granular media in 2D

Particulate Fouling Analysis and Optimization of Heat Transfer Tubes Inserted with a Self-Rotating Rotor Coupled with RSM and MOGA

CFD simulation methodology for gas-solid flow in bypass pneumatic conveying – A review

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