Cellular convection in a viscoelastic fluid

Autor: F. I. Zapparov, P. A. Norden, F. A. Garifullin, N. Z. Mingaleev
Rok vydání: 1981
Předmět:
Zdroj: Journal of Applied Mechanics and Technical Physics. 22:111-113
ISSN: 1573-8620
0021-8944
DOI: 10.1007/bf00911582
Popis: The pattern of supercritical motions in convection processes has aroused the interest of many researchers [1-4]. The fundamental theoretical results on the preferred mode near the critical point may be generalized as follows. i. Motion driven by a surface-tension gradient generates hexagonal cells [i]. 2. In buoyancy-driven convection the stable mode comprises rollers if the physical properties of the fluid are independent of the temperature [2]. 3. In buoyancy-driven convection for fluids having temperature-dependent physical properties the cells are hexagonal in the interval of Rayleigh numbers close to the critical [3, 4]. These hexagons transform into rollers with a further increase in the supercrlticality. In regard to the influence of elasticity of the fluid on the mode of convective motion, this problem has been totally ignored. Below, for a more complete treatment of the physical properties of the fluid we consider a temperature-dependent viscosity. For the rheological relation we adopt the Maxwell model Pi~-} -%6Pj6 t = ~uu, in which uij is the strain-rate tensor; ~, viscosity; x,, relaxation time; and 5Pi5 8Pi. i 8Pij Ou~ Ou i +
Databáze: OpenAIRE
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