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- W2078733132 abstract "Steady thermocapillary flows of low-Prandtl-number fluids in shallow rectangular enclosures under an imposed-heat-flux configuration are studied in the absence of gravitational forces. The Navier–Stokes equations are solved numerically for Reynolds numbers up to 104. The pressure correction method is used to treat the pressure-velocity coupling, in particular, the SIMPLEC approximation is considered. In the numerical simulation, the free surface is assumed flat. This hypothesis is justified a posteriori; free surface deformations are computed by domain perturbation for small capillary numbers. The numerical results show the existence of a boundary layer along the free surface and the existence of a strong vortex close to the vertical wall. The characteristic velocity in the boundary layer responds to Ostrach’s scaling of thermocapillary boundary layers, and the wall vortex responds to Batchelor’s model for steady laminar flows with closed streamlines at large Reynolds numbers. The calculated surface deformations have the following feature: When inertia effects are important, the wall vortex induces a depression of the free surface in the region above it, which results in an elevation in the region below the heater; this behavior is opposite to that for the case of small Reynolds numbers." @default.
- W2078733132 created "2016-06-24" @default.
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- W2078733132 date "1991-02-01" @default.
- W2078733132 modified "2023-10-16" @default.
- W2078733132 title "High‐Reynolds‐number thermocapillary flows in shallow enclosures" @default.
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- W2078733132 doi "https://doi.org/10.1063/1.858136" @default.
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