Can any body put me onto a journal review or book that looks at multiphase flow modelling techniques in CFD? I've really had no luck with finding a comprehensive review (well, even any review that covered only one of the topics below). I'm after something that would cover Lagrangian-Eulerian & Eulerian-Eulerian methods (including drift-velocity, drift-flux, slip and homogenous models).

At the moment I'm looking at implementing a homogenous model (core CFD equations with a scalar transport equation of solids concentration including settling velocity as a function of the scalar), so I'd like to see the advantages/disadvantages of it compared to other methods.

There isn't any specific review/book in two-phase flow but there are many perfect articles in two-phase flow. for simplicity for example many people consider drift flux model where u_{1} = u_{2}, where I've considered it as u_{r} = u_{2} - u_{1}, can you see the difference,

have a look to:

Numerical simulation of compressible two-phase flow model based on the Riemann problem. ACOMEN 2002, Liege, Belgium, May 28-31, 2002.

this one of the best in two-phase flow models;

Stewart, H and Wendroff, B. Two-phase flow: models and methods J. of comp. phys. 56, 1984, 363-409

and many others.

Trust me there are many different models as many numerical solutions for two-phase flow. I'm telling you this after more than 3 years in mathematical and numerical study of two-phase flow models, one more fact as well, there are a large number of derivations of the balance equations are available for two-phase flow applications. The fact that each researcher is primarily interested in a particular system of flow regime has led to conflicts and differences in the resulting equations.

I advice you to understand the mathematical analysis of two-phase flow models, is it ill-posed, well-posed etc. this will help you in your numerics.

If you need any article or help just let me know.

Thanks very much for that. The Stewart paper was quite useful.

I just found a paper that was more situation specific for me (ie water clarifier design). I think it might be reasonably useful also.

D. Lakehal, "On the modelling of multiphase turbulent flows for environmental and hydrodynamic applications," International Journal of Multiphase Flow, 28, 823-863, 2002.

Dear sir, I would like to ask you some references for a specific case of two-phase flow, namely solid particles in a gas flow (aerosol), in incompressible to slightly compressible regime (M <0.33), and at very low pressures. Expecially books would be useful. Thank you very much for your attention,

Andrea Panizza

may be this will help

S.T. Soo

Fluid Dynamics of Multiphase Systems

Waltham: Blaisdell, 1967

why not to be in this

http://www.newton.cam.ac.uk/programs/NPA/npa.html

There is one particular issue in J Comput Phys on multiphase flows. The following reviews are quite comprehensive.

Osher S and Fedkiw RP, Level set methods: an overview and some recent results, J. Comput. Phys. 169, 463-502 (2001).

Tryggvason G, Bunner B, Esmaeeli A, Juric D, Al-Rawahi N, Tauber W, Han J, Nas S and Jan YJ, A front-tracking method for the computations of multiphase flow, J. Comput. Phys. 169, 708¨C759 (2001).

For solid particles, things are easier (I guess). You may look at

R. Glowinski, T.W. Pan, T.I. Hesla, D.D. Joseph, and J. Periaux, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow, J. Comp. Phys. 169, 363 (2001).