Article information

2004 , Volume 9, ¹ 5, p.3-13

Gontcharova O.N.

Numerical modelling of convection of isothermally incompressible fluid under low gravity in domain with free boundary

Thermal gravitational convection in fluids under conditions of microgravity is investigated numerically. Two mathematical models of convection have been considered: the Oberbeck-Boussinesq model and the model of microconvection relied on the non-solenoidality of velocity field. The stationary gravitational-thermocapillary convection is considered in the semicircular domain with a free boundary. Numerical predictions for both models are compared. It is shown that topological characteristics of flows are different when boundary thermal regimes have a local singularity. Numerical solutions are presented for different Prandtl, Marangoni and Rayleigh numbers.

[full text] Classificator Msc2000:
*76M20 Finite difference methods
76R05 Forced convection
80A20 Heat and mass transfer, heat flow

Keywords: Oberbeck-Boussinesq model, microconvection

Author(s):
Gontcharova Olga Nikolaevna
Dr. , Associate Professor
Position: Professor
Office: Altai State University
Address: 656049, Russia, Barnaul
Phone Office: (3832)331819
E-mail: gon@math.asu.ru


Bibliography link:
Gontcharova O.N. Numerical modelling of convection of isothermally incompressible fluid under low gravity in domain with free boundary // Computational technologies. 2004. V. 9. ¹ 5. P. 3-13
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