Thermocapillary (Marangoni) motion of a gas bubble (or a liquid drop) under a temperature gradient can hardly be present in a one-component fluid. Indeed, in such a pure system, the vapor–liquid interface is always isothermal (at saturation temperature). However, evaporation on the hot side and condensation on the cold side can occur and displace the bubble. We have observed such a phenomenon in two different fluids submitted to a temperature gradient under reduced gravity: hydrogen under magnetic compensation of gravity in the HYLDE facility at CEA-Grenoble and water in the DECLIC facility onboard the ISS. The experiments and the subsequent analysis are performed in the vicinity of the vapor–liquid critical point to benefit from critical universality. In order to better understand the phenomena, a 1D numerical simulation has been performed. After the temperature gradient is imposed, two regimes can be evidenced. At early times, the temperatures in the bubble and the surrounding liquid become different thanks to their different compressibility and the “piston effect” mechanism, i.e. the fast adiabatic bulk thermalization induced by the expansion of the thermal boundary layers. The difference in local temperature gradients at the vapor–liquid interface results in an unbalanced evaporation/condensation phenomenon that makes the shape of the bubble vary and provoke its motion. At long times, a steady temperature gradient progressively forms in the liquid (but not in the bubble) and induces steady bubble motion towards the hot end. We evaluate the bubble velocity and compare with existing theories.
Accepted:
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Vadim S. Nikolayev 1; Yves Garrabos 2; Carole Lecoutre 2; Guillaume Pichavant 3; Denis Chatain 3; Daniel Beysens 4, 5
@article{CRMECA_2017__345_1_35_0, author = {Vadim S. Nikolayev and Yves Garrabos and Carole Lecoutre and Guillaume Pichavant and Denis Chatain and Daniel Beysens}, title = {Evaporation condensation-induced bubble motion after temperature gradient set-up}, journal = {Comptes Rendus. M\'ecanique}, pages = {35--46}, publisher = {Elsevier}, volume = {345}, number = {1}, year = {2017}, doi = {10.1016/j.crme.2016.10.002}, language = {en}, }
TY - JOUR AU - Vadim S. Nikolayev AU - Yves Garrabos AU - Carole Lecoutre AU - Guillaume Pichavant AU - Denis Chatain AU - Daniel Beysens TI - Evaporation condensation-induced bubble motion after temperature gradient set-up JO - Comptes Rendus. Mécanique PY - 2017 SP - 35 EP - 46 VL - 345 IS - 1 PB - Elsevier DO - 10.1016/j.crme.2016.10.002 LA - en ID - CRMECA_2017__345_1_35_0 ER -
%0 Journal Article %A Vadim S. Nikolayev %A Yves Garrabos %A Carole Lecoutre %A Guillaume Pichavant %A Denis Chatain %A Daniel Beysens %T Evaporation condensation-induced bubble motion after temperature gradient set-up %J Comptes Rendus. Mécanique %D 2017 %P 35-46 %V 345 %N 1 %I Elsevier %R 10.1016/j.crme.2016.10.002 %G en %F CRMECA_2017__345_1_35_0
Vadim S. Nikolayev; Yves Garrabos; Carole Lecoutre; Guillaume Pichavant; Denis Chatain; Daniel Beysens. Evaporation condensation-induced bubble motion after temperature gradient set-up. Comptes Rendus. Mécanique, Basic and applied researches in microgravity – A tribute to Bernard Zappoli’s contribution, Volume 345 (2017) no. 1, pp. 35-46. doi : 10.1016/j.crme.2016.10.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.10.002/
[1] The motion of bubbles in a vertical temperature gradient, J. Fluid Mech., Volume 6 (1959), pp. 350-356 | DOI
[2] Gas spreading on a heated wall wetted by liquid, Phys. Rev. E, Volume 64 (2001) no. 5 | DOI
[3] Temperature effects on the formation of a uniform liquid layer of hydrogen isotopes inside a spherical cryogenic ICF target, J. Vac. Sci. Technol. A, Volume 1 (1983) no. 2, pp. 897-900 | DOI
[4] Droplet motion with phase change in a temperature gradient, Phys. Rev. E, Volume 72 (2005) no. 6 | DOI
[5] Dynamic van der Waals theory, Phys. Rev. E, Volume 75 (2007) no. 3 | DOI
[6] Magnetic compensation of gravity forces in (p-)hydrogen near its critical point: application to weightless conditions, Phys. Rev. E, Volume 62 (2000) no. 1, pp. 469-476 | DOI
[7] Magnetic compensation of gravity forces in liquid/gas mixtures: surpassing intrinsic limitations of a superconducting magnet by using ferromagnetic inserts, Eur. Phys. J. Appl. Phys., Volume 32 (2005) no. 3, pp. 167-175 | DOI
[8] Magnetic gravity compensation, Microgravity Sci. Technol., Volume 23 (2011) no. 2, pp. 113-122 | DOI
[9] DECLIC: a facility to investigate fluids and transparent materials in microgravity conditions in ISS, Valencia, Spain (2006) (paper IAC-06-A2.5.02)
[10] DECLIC, first result on orbit, Prague, Czech Republic (2010) (paper IAC-10-A2.5.1)
[11] The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use, J. Phys. Chem. Ref. Data, Volume 31 (2002) no. 2, pp. 387-535 | DOI
[12] Thermalization of a two-phase fluid in low gravity: heat transferred from cold to hot, Phys. Rev. Lett., Volume 84 (2000) no. 18, pp. 4100-4103 | DOI
[13] Heat Transfer and Related Phenomena in Supercritical Fluids, Springer, Berlin, Heidelberg, 2015 (ISBN: 978-94-017-9186-1)
[14] Anomalous heat transport by the piston effect in supercritical fluids under zero gravity, Phys. Rev. A, Volume 41 (1990) no. 4, pp. 2264-2267 | DOI
[15] Critical speeding up in pure fluids, Phys. Rev. A, Volume 41 (1990) no. 4, pp. 2260-2263 | DOI
[16] Possibility of long-distance heat transport in weightlessness using supercritical fluids, Phys. Rev. E, Volume 82 (2010) no. 6 | DOI
[17] Dynamic temperature propagation in a pure fluid near its critical point observed under microgravity during the German Spacelab Mission D-2, Phys. Rev. E, Volume 51 (1995) no. 6, pp. 5556-5563 | DOI
[18] Density equilibration near the liquid-vapor critical point of a pure fluid: single phase , Phys. Rev. E, Volume 51 (1995) no. 4, pp. 3223-3241 | DOI
[19] Density and temperature relaxation in the two-phase region near the critical point of a pure fluid, Phys. Rev. Lett., Volume 75 (1995) no. 8, pp. 1554-1557 | DOI
[20] Density equilibration near the liquid-vapor critical point of a pure fluid. II. Coexisting phases for , Phys. Rev. E, Volume 53 (1996) no. 6, pp. 5935-5948 | DOI
[21] Fast heat transfer calculations in supercritical fluids versus hydrodynamic approach, Phys. Rev. E, Volume 67 (2003) no. 6 | DOI
[22] Electrodynamics of Continuous Media, Pergamon Press, Oxford, UK, 1963
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