That is what people use when simulating any flow, be it laminar or turbulent.

Eulerian approach means that you would pre-define your grid and solve for the velocity at each grid point, whereas in lagrangian method you would track the particle no matter where it goes i.e. your computational "grid" is not fixed.

When you say you say that you want to use an Eulerian-Eulerian aproach, it means you have two phases involved in the flow and you want to use Eulerian approach for the both phases (Better when both the phases are fluids). On the other hand, when you talk about Eulerian-lagrangian approach, it means you will solve for one phase in the eulerian framework i.e. fix your grid and solve for velocities and will track the some initially identified particles of the second phase (better when one of the phases consists of particle like things, for e.g. spray droplets, solid particles...).

I simulate rising bubble in laminar as well as turbulent regime and I use Eulerian-Eulerian appoach.

So YES, you can use it for laminar flow as well.

(Also, I have attached the announcement for an IUTAM symposium. Please register if you find the topic interesting. It is in December of this year.)

That is what people use when simulating any flow, be it laminar or turbulent.

Eulerian approach means that you would pre-define your grid and solve for the velocity at each grid point, whereas in lagrangian method you would track the particle no matter where it goes i.e. your computational "grid" is not fixed.

When you say you say that you want to use an Eulerian-Eulerian aproach, it means you have two phases involved in the flow and you want to use Eulerian approach for the both phases (Better when both the phases are fluids). On the other hand, when you talk about Eulerian-lagrangian approach, it means you will solve for one phase in the eulerian framework i.e. fix your grid and solve for velocities and will track the some initially identified particles of the second phase (better when one of the phases consists of particle like things, for e.g. spray droplets, solid particles...).

I simulate rising bubble in laminar as well as turbulent regime and I use Eulerian-Eulerian appoach.

So YES, you can use it for laminar flow as well.

(Also, I have attached the announcement for an IUTAM symposium. Please register if you find the topic interesting. It is in December of this year.)

Thanks for your answer and the attachment.

I simulate flowing of fluid + nanoparticles in the pipe in laminar regime and i don't know what the best approach is.

I think there are two approaches for modeling laminar nanofluid flow: the first is to consider the average properties of the nanofluid (approximate the thermal and mechanical properties of the fluid plus the nano particles using some sort of empirical correlations) and use an Euler approach to solve the problem. The second approach is to consider the problem as a two-phase flow where the primary fluid is the base fluid, and the secondary fluid is the nano particles, then you can use an Eulerian-Lagrangian approach to solve this problem. If you're using OpenFOAM or ANSYS Fluent, you can easily find a number of papers discussing the models used for each approach.

What about Comsol? Can i simulate this model by that?

Hey Solmaz, I think one important question here, is that how many of those nanoparticles do you have in your flow? if it is a high number, then a lagrangian approach for nanoparticle phase would take a lot of time for your simulation to run. if you have relatively large number of particles and you are OK with the empirical relations as suggested by Mr. Khalid, then you can use Eulerian approach.

http://www.me.jhu.edu/prosper/html/index.html

Try this code from Prof. Prosperetti's group. I think this is what you need.

The weight fraction of nanoparticles is about 0.001.

I used the Euler-Euler two-phase method for both laminar and turbulent flows. as I didn't find any laminar experimental studies relating to the problem (boundary layer flow), I only published the results of turbulent two-phase simulation [1, 2]. the study of nano fluid with Lagrangian approach has been used by ref. [3]. ref. [4] also used a Lagrangian model for gas-particle turbulent two-phase flow.

[1]. M. Dehghan, H. Basirat Tabrizi, On near-wall behavior of particles in a dilute turbulent gas–solid flow using kinetic theory of granular flows, Powder Technology, 224 (2012) 273–280.

[2]. M. Dehghan, H. Basirat Tabrizi, Turbulence effects on the granular model of particle motion in a boundary layer flow, Canadian Journal of Chemical Engineering, 92 (2014) 189–195.

[3]. M. Mirzaei, M. Saffar-Avval, H. Naderan, Heat transfer investigation of laminar developing flow of nanofluids in a microchannel based on Eulerian–Lagrangian approach, The Canadian Journal of Chemical Engineering, (2014) DOI: 10.1002/cjce.21962.

[4]. N. Alvandifar, M. Abkar, Z. Mansoori, M. Saffar Avval, G. Ahmadi, Turbulence modulation for gas - particle flow in vertical tube and horizontal channel using four-way Eulerian-Lagrangian approach, International Journal of Heat and Fluid Flow (2011).

finally, I suggest you to use a mixture model rather than a two-phase model, because the accuracy gained by a two-phase model is not comparable with its difficulties and computational costs.