Abstract
A criterion was elaborated for the phenomenon of dry spot evolution in isothermal liquid films on a horizontal substrate. The formulas are presented for gravity force and surface tension acting upon an element of the rim around the dry spot. The forces balance gives the evolution of initial dry spot: to expand or to contract.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D.V. Zaitsev, D.A. Rodionov, and O.A. Kabov, Critical heat flux in a locally heated liquid film driven by gas flow in a minichannel, Technical Physics Letters, 2009, Vol. 35, Iss. 7, P. 680–682.
V. Ajaev, Instability and rupture of thin liquid films on solid substrates, Interfacial Phenomena and Heat Transfer, 2013, Vol. 1, Iss. 1, P. 81–92.
D.V. Zaitsev, D.P. Kirichenko, and O.A. Kabov, The effect of substrate wettability on the breakdown of a locally heated fluid film, Tech. Phys. Lett., 2015, Vol. Т,.41, Iss. 6, P. 551–553.
V.S. Ajaev, E.Ya. Gatapova, and O.A. Kabov, Stability and break-up of thin liquid films on patterned and structured surfaces. Advances Colloid and Interface Sci., 2016, Vol. 228, P. 92–104.
M.S. El-Genk and H.H. Saber, Minimum thickness of a flowing down liquid film on a vertical surface, Int. J. Heat and Mass Transfer, 2001, Vol. 44, P. 2809–2825.
M. Kadoura and S. Chandra, Rupture of thin liquid films sprayed on solid surfaces, Experiments in Fluids, 2013, Vol. 54, No. 2, P. 1465-1–1465-11.
M.S. El-Genk and H.H. Saber, An investigation of the breakup of an evaporating liquid film, falling down a vertical, uniformly heated wall, J. Heat Transfer, 2002, Vol. 124, P. 39–50.
O.A. Kabov, Breakdown of a liquid film flowing over the surface with a local heat source, Thermophysics and Aeromechanics, 2000, Vol. 7, No. 4, P. 513–520.
D.V Zaitsev, O.A. Kabov, V.V. Cheverda, and N.S. Bufetov, The effect of wave formation and wetting angle on the thermocapillary breakdown of a falling liquid film, High Temperature, 2004, Vol. 42, No. 3, P. 450–456.
D.E. Hartley and W. Murgatroyd, Criteria for the break-up of thin liquid layers flowing isothermally over solid surfaces, Int. J. Heat and Mass Transfer, 1964, Vol. 7, P. 1003–1015.
A.B. Ponter, G.A. Davies, T.K. Ross, and P.G. Thornley, The influence of mass transfer on liquid film breakdown, Int. J. Heat and Mass Transfer, 1967, Vol. 10, P. 349–359.
N. Zuber and F.W. Staub, Stability of dry patches forming in liquid films flowing over heated surfaces, Int. J. Heat and Mass Transfer, 1966, Vol. 9, P. 897–905.
L.I. Maltsev and D.S. Zavarzin, Growth criterion for small dry spots in the falling liquid films, Thermophysics and Aeromechanics, 2007, Vol. 14, No. 2, P. 231–240.
G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers, McGraw Hill Book Company, 1968.
S.G. Bankoff, Minimum thickness of a draining liquid film, Int. J. Heat and Mass Transfer, 1971, Vol. 14, P. 2143–2146.
S.D.R. Wilson, The stability of a dry patch on a wetted wall, Int. J. Heat and Mass Transfer, 1974, Vol. 17, P. 1607–1615.
L.I. Maltsev and D.S. Zavarzin, Mathematical simulation of liquid film flows with “dry” spots, Thermophysics and Aeromechanics, 2012, Vol. 19, No. 6, P. 607–614.
O. A. Kabov and D.V. Zaitsev, The effect of wetting hysteresis on drop spreading under gravity, Doklady Physics, 2013, Vol. 58, No. 7, P. 292–295.
Author information
Authors and Affiliations
Corresponding author
Additional information
Research was financially supported by Ministry of Education and Science RF (Agreement No. 14.613.21.0011, Project identification RFMEFI61314X0011).
Rights and permissions
About this article
Cite this article
Maltsev, L.I., Podzharov, Y.S. & Kabov, O.A. Dry spot growth criterion for isothermal liquid films on a horizontal substrate. Thermophys. Aeromech. 24, 383–387 (2017). https://doi.org/10.1134/S0869864317030076
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864317030076