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- W2073982005 abstract "The Benard–Marangoni convection is studied in a three-dimensional container with thermally insulated lateral walls and prescribed heat flux at lower boundary. The upper surface of the incompressible, viscous fluid is assumed to be flat with temperature dependent surface tension. A Galerkin–Tau method with odd and even trial functions satisfying all the essential boundary conditions except the natural boundary conditions at the free surface has been used to solve the problem. The critical Marangoni and Rayleigh numbers are determined for the onset of steady convection as a function of aspect ratios x0 and y0 for the cases of Benard–Marangoni, pure Marangoni and pure Benard convections. It is observed that critical parameters are decreasing with an increase in aspect ratios. The flow structures corresponding to the values of the critical parameters are presented in all the cases. It is observed that the critical parameters are higher for case with heat flux prescribed than those corresponding to the case with prescribed temperature. The critical Marangoni number for pure Marangoni convection is higher than critical Rayleigh number corresponding to pure Benard convection for a given aspect ratio whereas the reverse was observed for two-dimensional infinite layer." @default.
- W2073982005 created "2016-06-24" @default.
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- W2073982005 date "2001-08-01" @default.
- W2073982005 modified "2023-09-27" @default.
- W2073982005 title "Thermal instability in a three-dimensional rigid container with prescribed heat flux at lower boundary" @default.
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- W2073982005 doi "https://doi.org/10.1016/s0020-7225(00)00096-3" @default.
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