A direct simulation code has been developed to solve two-phase flow with mass transfer at the interface. The position of the interface is determined by solving a transport equation of the maker density function, one of front-capturing methods. The present method performs the dissolution of mass of a dispersed phase into a continuous phase as a notable feature. Moreover, transfer of the dissolved mass is solved in the continuous phase. At the interface, mass diffusion flux is calculated both for the boundary condition of mass transfer and for the shrinkage of a droplet. For the validation of the present method, three case studies are successfully demonstrated: rise of single droplet, dissolution from a rigid sphere, and dissolution from a rising droplet. [S0098-2202(00)01303-1]

Issue Section:
Technical Papers
Keywords:
two-phase flow, drops, mass transfer, diffusion, computational fluid dynamics
Topics:
Drops, Flow (Dynamics), Mass transfer, Simulation, Two-phase flow
1.
Herzog
,
H.
,
Adams
,
E.
,
Auerbach
,
D.
, and
Caulfield
,
J.
,
1996
, “
Environmental Impact of Ocean Disposal of CO2
,”
Energy Convers. Manage.
,
37
, Nos.
6–8
, pp.
999
–
1005
.
2.
Ohsumi
,
T.
,
1997
, “
CO2 Storage Options in the Deep Ocean
,”
Mar. Technol. Soc. J.
,
29
, No.
3
, pp.
58
–
66
.
3.
Nakashiki, N., Ohsumi, T., and Katano, N., 1995, “Technical View on CO2 Transportation onto the Deep Ocean Floor and Dispersion at Intermediate Depths,” Handa, N., and Ohsumi, T. eds., Direct Ocean Disposal of Carbon Dioxide, pp. 183–193.
4.
Ozaki
,
M.
,
1997
, “
CO2 Injection and Dispersion in Mid-Ocean Depth by Moving Ship
,”
Waste Management
,
17
, No.
5/6
, pp.
369
–
373
.
5.
Kanai, A., and Miyata, H., 1998, “Numerical Simulation of Bubbles in a Boundary Layer by Maker-Density-Function,” Proceedings of 3rd International Conference on Multiphase Flow, ICMF’98, Lyon, France.
6.
Tomiyama, A., Makino, Y., Zun, I., and Sakaguchi, T., 1998, “Bubble Shape Modelling for a 3D Two-Way Bubble Tracking Method,” Proceedings of 3rd International Conference on Multiphase Flow, ICMF’98, Lyon, France.
7.
Gueyffier, D., and Zaleski, S., 1998, “Full Navier-Stokes Simulations of Droplet Impact on Thin Liquid Films,” Proceedings of 3rd International Conference on Multiphase Flow, ICMF’98, Lyon, France.
8.
Bidoae, R., and Raad, P. E., 1998, “Mitigation of Large Wave Damage on Shoreline Structure,” Proceedings of ASME Fluids Engineering Division Summer Meeting, FEDSM98-5222, pp. 1–6.
9.
Matsumoto, Y., and Takagi, S., 1998, “Multiscale Analysis of Bubbly Flow,” Proceedings of ASME Fluids Engineering Division Summer Meeting, FEDSM98-5311, pp. 1–2.
10.
Tryggvason, G., Bunner, B., Esmaeeli, A., and Mortazavi, S., 1998, “Direct Numerical Simulations of Dispersed Flows,” Proceedings of 3rd International Conference on Multiphase Flow, ICMF’98, Lyon, France.
11.
Kanai
,
A.
, and
Miyata
,
H.
,
1996
, “
Numerical Analysis of Structure of Free-Surface Shock Wave About a Wedge Model
,”
J. Ship Res.
,
40
, No.
4
, pp.
278
–
287
.
12.
Wiebe
,
R.
, and
Gaddy
,
V. L.
,
1941
, “
Vapor Phase Composition of Carbon Dioxide-Water Mixtures at Various Temperatures and at Pressures to 700 Atmospheres
,”
J. Am. Chem. Soc.
,
63
, pp.
475
–
477
.
13.
Miyata
,
H.
,
Sato
,
T.
, and
Baba
,
N.
,
1987
, “
Difference Solution of a Viscous Flow with Free-Surface Wave
,”
J. Comput. Phys.
,
72
, No.
2
, pp.
393
–
421
.
14.
Miyata
,
H.
,
Zhu
,
M.
, and
Watanabe
,
O.
,
1992
, “
Numerical Study on a Viscous Flow with Free-Surface Waves about a Ship in Steady Straight Course by a Finite-Volume Method
,”
J. Ship Res.
,
36
, No.
4
, pp.
332
–
345
.
15.
Sato, T., Izumi, K., and Miyata, H., 1998, “Numerical Simulation of Manoeuvering Motion,” Proceeding of 22nd Symposium on Naval Hydrodynamics (in press).
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