Lattice Boltzmann Simulation of Two-Fluid Model Equations

2008 ◽  
Vol 47 (23) ◽  
pp. 9165-9173 ◽  
Author(s):  
Krishnan Sankaranarayanan ◽  
Sankaran Sundaresan
Keyword(s):  
Lattice Boltzmann ◽  
Fluid Model ◽  
Lattice Boltzmann Simulation ◽  
Two Fluid Model ◽  
Model Equations ◽  
Two Fluid

Parallel Computations of the Dynamic Behavior of Bubble Plumes

2003 ◽  
Author(s):  
Fabia´n A. Bombardelli ◽  
Gustavo C. Buscaglia ◽  
Marcelo H. Garci´a
Keyword(s):  
Dynamic Behavior ◽  
Fluid Model ◽  
Bubble Columns ◽  
Three Dimensions ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Parallel Code ◽  
Two Fluid Model ◽  
Model Equations ◽  
Two Fluid

This paper discusses numerical results obtained with different strategies for modeling air-water flows. Mathematical models for dilute mixtures, derived from the two-fluid model equations, are presented. These models include diverse degrees of complexity, and they handle turbulence via a k-ε model and a Large-Eddy Simulation (LES) approach, in a consistent way. The models are implemented in a parallel code, which is then used to numerically simulate the dynamic behavior of bubble columns in two and three dimensions. The results of the simulations are employed to study the interplay between the turbulence of the carrier and the scales of the wandering motion, and to compare the capability of different models to capture the physics behind the phenomenon.

Wall effects on space averaged two-fluid model equations for simulations of gas–solid flows in risers

2013 ◽  
Vol 89 ◽  
pp. 206-215 ◽  
Author(s):  
Srujal Shah ◽  
Jouni Ritvanen ◽  
Timo Hyppänen ◽  
Sirpa Kallio
Keyword(s):  
Fluid Model ◽  
Wall Effects ◽  
Two Fluid Model ◽  
Model Equations ◽  
Two Fluid

A study of two-fluid model equations

2011 ◽  
Vol 690 ◽  
pp. 474-498 ◽  
Author(s):  
K. Ueyama
Keyword(s):  
Two Phase Flow ◽  
Fluid Model ◽  
Creeping Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Virtual Force ◽  
Interaction Term ◽  
Two Fluid Model ◽  
Model Equations ◽  
Two Fluid

AbstractA theoretical study of the interaction term in the two-fluid model equations is presented. The relevant Navier–Stokes equation is volume-integrated in a control volume fixed in a field of dispersed two-phase flow; then it is time-integrated. An expression for the interaction term is obtained in the limit of infinitesimal control volume, which rigorously fits to the two-fluid model equation based on time averaging. The interaction term is then analysed for dispersed two-phase flow with homogeneous particle size. The mathematical expression of the resulting interaction term clearly shows its property, which has been overlooked for more than 40 years. It can be decomposed into the conventional interaction term and an additional ‘virtual force’ term. The virtual force term is evaluated approximately for two types of dispersed multiphase flow in order to demonstrate its effectiveness. The first is solid–liquid dispersed two-phase flow with spherical solid particles undergoing creeping flow, and the second is gas–liquid dispersed two-phase flow with large bubbles in a highly turbulent flow field. For solid spherical particles in a homogeneous creeping flow, the term vanishes, as was found numerically by Ten Cate and Sundaresan (Intl J. Multiphase Flow, vol. 32, 2006, pp. 106–131), although the term could be significant for a flow field with velocity gradient. For large bubbles in bubble columns in a recirculating turbulent flow regime, the term is significant. The two-fluid model equations are corrected by the introduction of these virtual force terms, which in some circumstances are important in simulating the macroscopic properties of dispersed two-phase flow with spatial variations.

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