caa a22 4500 469100982 CHVBK 20180323133044.0 cr unu---uuuuu 170328e19920701xx s 000 0 eng 10.1007/BF01051320 doi (NATIONALLICENCE)springer-10.1007/BF01051320 Secondary thermocapillary motions of soliton type [Elektronische Daten] [Yu. Bratukhin, S. Makarov] An exact analytic solution is obtained for the problem of the stability of the axisymmetric thermocapillary motion due to a point heat source of constant power located on the horizontal free surface of a viscous fluid. Analytic expressions are found for monotonic neutral disturbances of hydrodynamic and thermal type. The critical values of the dimensionless source power for disturbances with arbitrary "quantum” numbersl andm are determined, together with the secondary motions near the stability threshold. An exact solution of the problem of the axisymmetric thermocapillary motion due to a spherical heat source is presented and its stability is investigated. It is shown that it is always possible to select physical heater properties such that for arbitrarily small source power, the axisymmetric motion is unstable relative to the vortex motion. A comparison is made with experiment. Plenum Publishing Corporation, 1993 Bratukhin Yu Perm' aut Makarov S. Perm' aut Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/4(1992-07-01), 463-469 0015-4628 27:4<463 1992 27 10697 https://doi.org/10.1007/BF01051320 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01051320 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bratukhin Yu Perm' aut NATIONALLICENCE 700 1- Makarov S. Perm' aut NATIONALLICENCE 773 0- Fluid Dynamics Kluwer Academic Publishers-Plenum Publishers 27/4(1992-07-01), 463-469 0015-4628 27:4<463 1992 27 10697 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer