CFD Modeling of Boiling in a Microchannel Based On Phase-Field Method

The hydrodynamics and heat transfer characteristics
of a vaporized elongated bubble in a rectangular microchannel have
been simulated based on Cahn-Hilliard phase-field method. In the
simulations, the initially nucleated bubble starts growing as it comes
in contact with superheated water. The growing shape of the bubble
compared well with the available experimental data in the literature.





References:
[1] B. Agostini, M. Fabbri, J.E. Park, L. Wojtan, J.R. Thome, B. Michel,
“State of the art of high heat flux cooling technologies,” Heat Transfer
Eng. 28, 2007, pp. 258–281.
[2] Z. Dong, J. Xu, F. Jiang, P. Liu, “Numerical study of vapor bubble effect
on flow and heat transfer in microchannel,” Int. J. Therm. Sci. 54, 2012,
pp. 22-32.
[3] D.L. Sun, J.L. Xu, L. Wang, “Development of a vapor-liquid phase
change model for volume-of-fluid method in FLUENT,” Int. Comm.
Heat Mass Transf. 39, 2012, pp.1101-1106.
[4] M. Magnini, B. Pulvirenti, J.R. Thome, “Numerical investigation of
hydrodynamics and heat transfer of elongated bubbles during flow
boiling in a microchannel,” Int. J. Heat Mass transfer 59, 2013, pp. 451-
471.
[5] L. Consolini, J.R. Thome, “A heat transfer model for evaporation of
coalescing bubbles in micro-channel flow,” Int. J. Heat Mass Transfer
31, 2010, pp. 115-125.
[6] A. Mukherjee, S.G. Kandlikar, Z.J. Edel, “Numerical study of bubble
growth and wall heat transfer during flow boiling in a microchannel,”
Int. J. Heat Mass Transfer 54, 2011, pp. 3702-3718.
[7] P. Yue, C. Zhou, J.J. Feng, C.F. Ollivier-Gooch, H.H. Hu, “Phase-field
simulations of interfacial dynamics in viscoelastic fluids using finite
elements with adaptive meshing,” J. Comput. Phys. 219, 2006, pp. 47–
67.
[8] D.M. Anderson, G.B. McFadden, “Diffuse-interface methods in fluid
mechanics,” Annu. Rev. Fluid Mech. 30, 1998, pp. 139–165. [9] C. Liu, J. Shen, “A phase-field model for the mixture of two
incompressible fluids and its approximation by a Fourier-spectral
method,” Physica D 179, 2003, pp. 211–228.
[10] P. Yue, J.J. Feng, C. Liu, J. Shen, “A diffuse-interface method for
simulating two-phase flows of complex fluids,” J. Fluid Mech. 515,
2004, pp. 293–317.
[11] W. Lee, G. Son, “Bubble Dynamics and Heat Transfer during Nucleate
Boiling in a Microchannel,” Numerical Heat Transfer, Part A 53, 2008,
pp. 1074–1090.
[12] H. Gomez, V.M. Calo, Y. Bazilevs, T. J.R. Hughes, “Isogeometric
analysis of the Cahn-Hilliard phase-field model,” Comput. Methods
Appl. Mech. Engrg. 197, 2008, pp. 4333–4352.
[13] I. Steinbach, “Phase-field models in materials science,” Modelling
Simul. Mater. Sci. Eng. 17, 2009, pp. 073001-1-31.
[14] C. Miehe, F. Welschinger, M. Hofacker, “Thermodynamically consistent
phase-field models of fracture: variational principles and multi-field FE
implementations,” Int. J. Numer. Meth. Engng 83, 2010, pp. 1273–1311.
[15] D. Jacqmin, “Calculation of two-phase Navier–Stokes flows using
phase-field modeling,” J. Comput. Phys. 155, 1999, pp. 96–127.
[16] H. D. Ceniceros, R. L. Nós, A. M. Romac, “Three-dimensional, fully
adaptive simulations of phase-field fluid models,” J. Comput. Phys. 229 ,
2010, pp. 6135–6155.
[17] V.E. Badalassi, H.D. Ceniceros, S. Banerjee, “Computation of
multiphase systems with phase field models,” J. Comput. Phys. 190 ,
2003, pp. 371–397.
[18] A. Badillo, “Quantitative phase-field modeling for boiling phenomena”,
Phys. Rev. E 86, 2012, pp. 041603-1-25.
[19] W.H. Lee, “A pressure iteration scheme for two-phase flow modeling,”
T.N. Veziroglu (Ed.), Multiphase Transport Fundamentals, Reactor
Safety, Applications, vol. 1, Hemisphere Publishing, Washington, DC,
1980.