A boundary element method for simulating thermocapillary convection in a two-layer immiscible fluid system with flat and free interface has been developed.The divergence.theorem is applied to the non-linear convective...A boundary element method for simulating thermocapillary convection in a two-layer immiscible fluid system with flat and free interface has been developed.The divergence.theorem is applied to the non-linear convective volume integral of the boundary element formulation with the pressure penalty function.Consequently.velocity gradients are eliminated and the complete formulation is written in terms of velocity,This avoids the difficulty of convective discretzations and provides considerable reductions in storage and computational requirements while improving accuracy,In this paper,we give the influence of different parameters (Marangoni number,Reynolds number)on thermocapillary convection in cavity with two-layer immiscibel fluids,As shown by the numerical results.when the physical parameters between liquid encapsulant and melt are chosen appropriately.the detrimental flow in the bottom melt layer can be greatly suppressed.The influence of the free interface on thermocapillary convection is also shown.展开更多
Numerical computations are performed for the natural convection in circular enclosures with inner polygonal cylinders.The polygon surface and the outer envelope are at constant but different temperatures.A body-fltted...Numerical computations are performed for the natural convection in circular enclosures with inner polygonal cylinders.The polygon surface and the outer envelope are at constant but different temperatures.A body-fltted coordinate system is used.The coordinate system is generated via simple algebraic equations.The transformed governing equations are discretized on a control volume basis with power-law filite difference scheme.The SIMPLE-like algorithm is used to deal with the linkage between pressure and velocities.The numerical results are compared with the experimental data available in the literature ,and the agreement between the numerical and experimental results are very good.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘A boundary element method for simulating thermocapillary convection in a two-layer immiscible fluid system with flat and free interface has been developed.The divergence.theorem is applied to the non-linear convective volume integral of the boundary element formulation with the pressure penalty function.Consequently.velocity gradients are eliminated and the complete formulation is written in terms of velocity,This avoids the difficulty of convective discretzations and provides considerable reductions in storage and computational requirements while improving accuracy,In this paper,we give the influence of different parameters (Marangoni number,Reynolds number)on thermocapillary convection in cavity with two-layer immiscibel fluids,As shown by the numerical results.when the physical parameters between liquid encapsulant and melt are chosen appropriately.the detrimental flow in the bottom melt layer can be greatly suppressed.The influence of the free interface on thermocapillary convection is also shown.
文摘Numerical computations are performed for the natural convection in circular enclosures with inner polygonal cylinders.The polygon surface and the outer envelope are at constant but different temperatures.A body-fltted coordinate system is used.The coordinate system is generated via simple algebraic equations.The transformed governing equations are discretized on a control volume basis with power-law filite difference scheme.The SIMPLE-like algorithm is used to deal with the linkage between pressure and velocities.The numerical results are compared with the experimental data available in the literature ,and the agreement between the numerical and experimental results are very good.
