Numerical Methods for Dispersed Multiphase Flows
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While the continuous liquid phase is always treated as an Eulerian continuum, the disperse phase(s) is considered either in an Eulerian or Lagrangian sense.
“While the continuous liquid phase is always treated as an Eulerian continuum, the disperse phase(s) is considered either in an Eulerian or Lagrangian sense [137].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [137]
In the Lagrangian formulation, the trajectory of a discrete object (e.g., a particle or bubble) is governed by differential equations for the particle position and the linear and angular velocities, while the liquid flow field is modeled using the Navier-Stokes equations.
“In the Lagrangian formulation, the trajectory of a discrete object (e.g., a particle or bubble) is governed by differential equations for the particle position x p and the linear and angular velocities u p and w p [137], whereas the liquid flow field is modeled using the Navier-Stokes equations.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [137]
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
Taborda, M. A., & Sommerfeld, M. (2021) · Fluid Mechanics and Its Applications · doi:10.1007/978-3-030-72361-3_16 · Cited by 3 · see citing works
Self-citation
- Authors
- Sommerfeld, M.
- Affiliations
- Otto-von-Guericke-Universität Magdeburg (DE)
- Corresponding author
- Sommerfeld, M.
- ORCID
- Sommerfeld, M.
- Venue
- Advances in Mathematical Fluid Mechanics
- Publisher
- Springer International Publishing
- Published
- 2017
- Pages
- 327-396
- ISSN
- 2297-0320 (ISSN-L)
- 2297-0339
- OpenAlex
- W2758027743
- Cited by
- 78
- References
- 120
- Citations by year
- 2026: 7 · 2025: 14 · 2024: 8 · 2023: 14 · 2022: 5 · 2021: 12 · 2020: 9 · 2019: 2 · 2018: 7
- FWCI
- 17.25
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Advances in mathematical fluid mechanics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Ocean Engineering › Particle Dynamics in Fluid Flows
- Physical Sciences › Engineering › Computational Mechanics › Granular flow and fluidized beds
- Physical Sciences › Engineering › Biomedical Engineering › Fluid Dynamics and Mixing
- Keywords
- dispersed multiphase flow, Euler-Lagrange method, two-fluid model, inter-particle collisions, filtration, filter cake formation, volume fraction, interparticle distance, closure models
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