Volume 84
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Novelletto Ricardo, G. A., & Sommerfeld, M. (2024). Comprehensive Euler/Lagrange modelling including particle erosion for confined gas-solid flows. Particuology, 84, 209-235. https://doi.org/10.1016/j.partic.2023.06.010
Comprehensive Euler/Lagrange modelling including particle erosion for confined gas-solid flows
Guiherme A. Novelletto Ricardo, Martin Sommerfeld *
Multiphase Flow Systems, Institute of Process Engineering, Otto-von-Guericke-University Magdeburg, Hoher Weg 7b, 06120, Halle (Saale), Germany
10.1016/j.partic.2023.06.010
Volume 84, January 2024, Pages 209-235
Received 11 November 2022, Revised 17 May 2023, Accepted 2 June 2023, Available online 3 July 2023, Version of Record 18 July 2023.
E-mail: martin.sommerfeld@ovgu.de

Highlights

• Euler/Lagrange modelling of confined gas-particle flows with wall- and inter-particle collisions.

• Quantification of the performance of 5 erosion models in two different pipe bend erosion test cases.

• Wall roughness has a strong effect on erosion due to the modification of wall collision frequency.

• Modelling locally the roughness increase due to temporal erosion reduces erosion rate.

• A particle size distribution may slightly reduce erosion depending on the shape of the distribution.


Abstract

The present research aims to assess the capability of a comprehensive Euler/Lagrange approach for predicting gas-solid flows and the associated solid particle erosion. The open-source code OpenFOAM® 4.1 was used to carry out the numerical simulations, where the standard Lagrangian libraries were substantially extended to account for all necessary models. Particles are tracked considering both translational and rotational motion as well as all relevant forces, such as gravity/buoyancy, drag and transverse lift due to shear and particle rotation. The tracking time step was dynamically adapted according to the locally relevant time scales, which drastically reduces computational times. Stochastic approaches are adopted to model particle turbulent dispersion, particle collisions with rough walls and particle-particle interactions. Five solid particle erosion models, available in the literature, were considered to estimate pipe bend erosion. Three study cases are provided to validate the adopted numerical approach and erosion models extensively. The first case intends to evaluate the ability of the extended CFD code to predict the behaviour of gas-solid flows in pneumatic conveying systems. This goal is achieved by comparing the numerical results with the experimental data obtained by Huber (1997) and Huber and Sommerfeld (1994, 1998) in a pneumatic conveying system. Here, the importance of considering inter-particle collisions and surface roughness for predicting particle velocity, mass flux and mean diameter distributions in gas-solid flows is highlighted. The second and third case intend to evaluate the ability of the erosion models in estimating bend erosion in diluted gas-solid flows. The erosion data obtained experimentally by Mazumder et al. (2008) and Solnordal et al. (2015) in very dilut pneumatic conveying systems is used for validating the numerical results, neglecting now inter-particle collisions and two-way coupling. Besides a comprehensive analysis of the different influential properties on erosion, the innovation of the present study is as follows. For the first time also a temporal modification of the surface roughness due to the erosion was considered in the simulations obtained from previous measurements (Novelletto Ricardo & Sommerfeld, 2020). As the surface roughness is increased due to erosion, eventually erosion rate becomes lower. This is the result of diminishing wall collision frequency. Simulations for several degrees of surface roughness showed that larger roughness is coupled with a drastic reduction of erosion. Hence, numerical simulations neglecting wall surface roughness are not realistic. The consideration of a particle size distribution instead of mono-sized computations showed a possible reduction of erosion rate. The detailed analysis of the different single-particle erosion models revealed that the model proposed by Oka et al. (2005) and Oka and Yoshida (2005) yields the best agreement with the measurements, however particle and wall properties are needed.


Graphical abstract
Keywords
Pneumatic conveying; Pipe bend; Numerical calculation (CFD); Euler/Lagrange approach; Erosion models; Wall roughness