Abstract
The stability of an axisymmetric thermocapillary flow driven by a point heat source located in the neighborhood of the free surface of a fluid filling a deep tank is investigated theoretically and experimentally. It is shown that for certain values of the depth and power of the heat source thermocapillary convection becomes unstable with respect to oscillating perturbations of the surface shape.
Similar content being viewed by others
References
B. A. Bezuglyi, E. A. Galashin, D. P. Krindach, and V. S. Maiorov, “Admixture separation in a fluid under the thermal action of laser radiation,”Pis’ma v Zh. Tekn. Fiz.,2, 832 (1976).
B. A. Bezuglyi and E. A. Galashin, “Thermotensography — a new method of obtaining images,”Zh. Nauch. Prikl. Foto- i Kinematografii,27, 69 (1982).
I. B. Borovskii, D. D. Gorodskii, I. M. Sharafeev, and S. F. Moryashchev, “Surface metal alloying using continuous laser radiation,”Fiz. Khim. Obrab. Mater., No. 1, 19 (1984).
N. D. DiPietro, C. Huh, and R. G. Cox, “The hydrodynamics of the spreading of one liquid on the surface of another,”J. Fluid Mech.,84, 529 (1978).
G. Z. Gershuni and E. M. Zhukhovitskii,Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).
E. Favre, L. Blumenfeld, and F. Daviaud, “Instabilities of a liquid layer locally heated on its surface,”Phys. Fluids,9, 1473 (1997).
A. V. Ezersky, A. Garcimartin, H. L. Mancini, and C. Perez-Garcia, “Spatiotemporal structure of hydrothermal waves in Marangoni convection,”Phys. Rev. E,48, 4414 (1993).
A. V. Ezersky, A. Garcimartin, J. Burguete et al., “Hydrothermal waves in Marangoni convection in a cylindrical container,”Phys. Rev. E,47, 1126 (1993).
Y. Kamotani, A. Chang, and S. Ostrach, “Effects of heating mode on steady axisymmetric thermocapillary flows in microgravity,”Trans. ASME. J. Heat Transfer,118, 191 (1996).
Yu. K. Bratukhin and S. O. Makarov, “Secondary thermocapillary motions of soliton type,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 20 (1992).
V. Shtern and F. Hussain, “Azimuthal instability of divergent flows,”J. Fluid Mech.,256, 535 (1993).
A. F. Pshenichnikov and G. A. Tokmenina, “Deformation of the free surface of a fluid by thermocapillary motions,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 150 (1983).
V. V. Nizovtsev, “Investigation of natural convection stimulated by local radiation in a thin evaporating liquid layer,”Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 138 (1989).
V. V. Nizovtsev, “Capillary convection in a liquid layer under laser radiation,”Inzh.-Fiz. Zh.,55, 85 (1988).
A. I. Rusanov and V. A. Prokhorov,Interphase Strain Measurement [in Russian], Khimiya, Saint-Petersburg (1994).
L. D. Landau and E. M. Lifshitz,Continuum Mechanics [in Russian], Gostekhizdat, Moscow (1954).
G. A. Korn and T. M. Korn,Mathematics Handbook for Scientists and Engineers, McGraw-Hill, New York, Toronto, London (1961).
Additional information
Perm’, Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 92–103, March–April, 2000.
Rights and permissions
About this article
Cite this article
Bratukhin, Y.K., Makarov, S.O. & Mizyov, A.I. Oscillating thermocapillary convection regimes driven by a point heat source. Fluid Dyn 35, 232–241 (2000). https://doi.org/10.1007/BF02831431
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02831431