Hi Dario,

I was going through first paper of hassanizadeh which you just mentioned. Yes it talks about what I wish to know about. I am particularly interesting in capillary rise. But I am doubtful of implementing relation given in it for macroscopic interfacial tension (eqn 86 & 87). It is in terms of free energy of interfaces which it states to depend on other thermodynamic properties like surface excess mass density, specific area, temperature and (volume) saturation of fluid phase's. So my question is is there any equation solving which I can get derivative of helmholtz free energy per unit excess mass with respect to surface excess mass density ? Or can I just use maximum capillary pressure in volumetric body force at the macroscopic interface ? I want to model capillary suction phenomena in a CFD software like ANSYS-FLUENT where we have darcy drag term in momentum eqn for modeling porous media.

Thanks & Regards,

Bharat

unfortunately....pores in my case are in the range of 2-10 microns......if you can tell me regarding this range.....that would be great.......

Regards,

Bharat

which references would you suggest of M. Sahimi regarding this ?

thanks for references Dario.

Best Wishes

Bharat

Hi Dario,

I one more thing I wish to know from you. I was recently going through trickle bed reactors in which trickle regime of flow exists in porous media. In that regime they have known relations for capillary pressure and ITS GRADIENT(which I wish to have for implementing in a generalized Navier-Stokes eqn consisting of darcy drag term for porous media formulation), namely by Attou and Ferschneider , Grosser et al. SO do you know any such model for the case in which a sharp interface exists separating liquid and gas phases ? If you do know anything about it please share it with me. It is what I am looking for.

Bharat

Hi, the topic of discussion is intricately linked to dynamic capillary pressure effects also which seem to vary dpending on a number of paramaets. You may find the following articles helpful to refer to

1. Das, D.B., Gauldie, R., Mirzaei, M. (2007). Dynamic Effects for Two-Phase Flow in Porous Media: Fluid Property Effects. AIChE Journal, 53(10), 2505-2520, October

2. Mirzaei M. and Das, DB. Dynamic Effects in Capillary Pressure-Saturations Relationships for Two-Phase Flow in 3D Porous Media: Implications of Micro-Heterogeneities. Chem Eng Sci. 2007:62, 1927-1947.

3. Hanspal, N and Das, DB. Dynamic Effects on Capillary Pressure-Saturation Relationships for Two-Phase Porous Flow: Implications of Temperature. AIChE Journal, 2012: 58(6), 1951-1965, DOI: 10.1002/aic.12702.

4. Das, DB, Mirzaei, M. Dynamic effects in capillary pressure relationships for two-phase flow in porous media: Experiments and Numerical Analyses. AIChE Journal. 2012: 58, 12, 3891-3903, DOI: 10.1002/aic.13777.

5. Das, DB and Mirzaei, M. Experimental measurement of dynamic effect in capillary pressure relationship for two-phase flow in weakly layered porous media. AIChE Journal, 2013: DOI: 10.1002/aic.13925.

6. Mirzaei M and Das DB EXPERIMENTAL INVESTIGATION OF HYSTERETIC DYNAMIC EFFECT IN CAPILLARY PRESSURE-SATURATION RELATIONSHIP FOR TWO-PHASE FLOW IN POROUS MEDIA. AIChE Journal, 2013, DOI 10.1002/aic.14121.

7. Hanspal, N, B Allison, L Deka, DB Das. Artificial Neural Network (ANN) Modeling of Dynamic Effects on Two-phase Flow in Homogenous Porous Media. Journal of Hydroinformatics, 2013: 15(2), 540-554, doi:10.2166/hydro.2012.119