Abstract
The present study is focused on the investigation of gravity effect on thermocapillary deformations in a film flowing under action of co-current gas flow, which creates the tangential force on the gas–liquid interface. The influence of local heating intensity on the heater at a substrate is also investigated. Effects of surface tension, temperature dependent viscosity and thermocapillarity are taken into account. Investigations have shown that gravity has a significant effect on the film deformations and pattern. Decreasing of gravity level leads to a flow destabilization. 3D liquid film pattern noticeably changes in spanwise direction. Increasing of heat flux leads to increasing of liquid film deformations. Dependence of film thinning on heat flux is strongly nonlinear. The most dangerous deformations (regions of minimum film thickness with possible disruption of liquid) take place behind the downstream edge of the heater at any gravity conditions.
Similar content being viewed by others
References
Ajaev, V.S.: Spreading of thin volatile liquid droplets on uniformly heated surfaces. J. Fluid Mech. 528, 279–296 (2005)
Alekseenko, S.V., Nakoryakov, V.E., Pokusaev, B.G.: Wave Flow of Liquid Films. Begell House, Inc., New York (1994)
Bar-Cohen, A., Sherwood, G., Hodes, M., Solbreken, G.L.: Gas-assisted evaporative cooling of high density electronic modules. IEEE Trans. Compon. Packaging Manuf. Technol., Part A 18(3), 502–509 (1995)
Celata, G.P., Colin, C., Colinet, P., Di Marco, P., Gambaryan-Roisman, T., Kabov, O., Kyriopoulos, O., Stephan, P., Tadrist, L., Tropea, C.: Bubbles, drops, films: transferring heat in space. Europhys. News 39(4), 23–25 (2008)
Frank, A.M., Kabov, O.A.: Thermocapillary structure formation in a falling film: experiment and calculations. Phys. Fluids 18, 032107-1–032107-10 (2006)
Gatapova, E.Y., Kabov, O.A., Marchuk, I.V.: Thermocapillary deformation of a locally heated liquid film moving under the action of a gas flow. Tech. Phys. Lett. 30(5), 418–421 (2004)
Gatapova, E.Y., Kabov, O.A., Kuznetsov, V.V., Legros, J.-C.: Evaporating shear-driven liquid film flow in minichannel with local heat source. J. Eng. Thermophys. 13(2), 179–197 (2005)
Joo, S.W., Davis, S.H., Bankoff, S.G.: A mechanism for rivulet formation in heated falling films. J. Fluid Mech. 321, 279–298 (1996)
Kabov, O.: Cooling of microelectronics by Thin Liquid Films. In: Keynote Lecture, Proc. Int. Workshop on “Wave Dynamics and Stability of Thin Film Flow Systems”, pp. 279–311. Narosa Publishing House, Chennai, India, 1–4 September 2006
Kabov, O.A., Scheid, B., Kuznetsov, V.V., Kabova, I.O., Legros, J.C.: Free surface deformation in a locally heated falling thin liquid film with the temperature dependent viscosity, Heat Transfer. In: Taine, J. (ed.) Proc. 12th Int. Heat Transfer Conference, vol. 2, pp. 675–680. Grenoble, France, 18–23 August 2002
Kabov, O.A., Kuznetsov, V.V., Legros, J.-C.: Heat transfer and film dynamic in shear-driven liquid film cooling system of microelectronic equipment. In: Proc. II Int. Conf. on Microchannels and Minichannels, Rochester, pp. 687–694 (2004)
Kabov, O.A., Lyulin, Yu.V., Marchuk, I.V., Zaitsev, D.V.: Locally heated annular liquid films in microchannels and minichannels. Int. J. Heat Fluid Flow 28, 103–112 (2007)
Kabov, O.A., Bartashevich, M.V., Glushchuk, A., Cheverda, V.: The effect of variable gravity and shear stress on the flattened rivulet dynamics in a minichannel, pp. 1–11. 1st European conference on microfluidics, microfluidics, Bologna, 10–12 December 2008, paper μFLU08–232 (2008)
Kabova, Y.O.: Thermocapillary deformation of a nonisothermal flowing liquid film. Tech. Phys. Lett. 30(5), 432–434 (2004)
Kabova, Y.O., Kuznetsov, V.V., Kabov, O.A.: Gravity effect on the locally heated liquid film driven by gas flow in an inclined minichannels. Microgravity Sci. Technol. 20, 187–192 (2008)
Li, Y., Homsy, G.M.: Steady three-dimensional thermocapillary flows and dryout inside a V-shaped wedge. Phys. Fluids 18, 042107 (2006)
Mahajan, R., Chiu, C., Chrysler, G.: Cooling a microprocessor chip. Proc. I.E.E.E. 94(8), 1476–1486 (2006)
Oron, A., Davis, S.H., Bankoff, S.G.: Long-scale evolution of thin liquid film. Rev. Mod. Phys. 69, 931–980 (1997)
Pacros, A., Minster, O.: The ESA contribution to space research on two-phase systems. Microgravity Sci. Technol. 19, 9–10 (2007)
Pletser, V., Pacros, A., Minster, O.: International heat and mass transfer experiments on the 48th ESA parabolic flight campaign of March 2008. Microgravity Sci. Technol. 20, 177–182 (2008)
Potash, M., Wayner, P.C.: Evaporation from a two-dimensional extended meniscus. Int. J. Heat Mass Transfer 15, 1851–1863 (1972)
Stephan, P., Busse, C.A.: Analysis of heat transfer coefficient of grooved heat pipe evaporator walls. Int. J. Heat Mass Transfer 35, 383–391 (1992)
Zaitsev, D.V., Kabov, O.A.: Microgap cooling technique based on evaporation of thin liquid films. In: Proceedings of IPACK2009, pp. 1–7. San Francisco, publication on CD-ROM, paper IPACK2009–89318, 19–23 July 2009
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kabova, Y.O., Kuznetsov, V.V. & Kabov, O.A. The Effect of Gravity and Shear Stress on a Liquid Film Driven in a Horizontal Minichannel at Local Heating. Microgravity Sci. Technol. 21 (Suppl 1), 145–152 (2009). https://doi.org/10.1007/s12217-009-9154-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12217-009-9154-4