Numerical simulations of flow in the melt(CdZnTe) with different conditions are conducted using the finite-difference method.When the top surface of the melt is solid wall under microgravity condition,the thermocapill...Numerical simulations of flow in the melt(CdZnTe) with different conditions are conducted using the finite-difference method.When the top surface of the melt is solid wall under microgravity condition,the thermocapillary convection is caused in the melt by the surface tension gradient on the free surface.As the Marangoni number is small,the flow is steady thermocapillary convection.As the Marangoni number exceeds the critical value,the steady flow transits into unstable thermocapillary convection.When the top surface of the melt is free surface under microgravity,two roll cells are observed in the melt,which are driven by both the surface tension gradients on the upper and lower free surfaces.When the top surface of the melt is free surface under gravity condition,the effect of the buoyancy on the flow is little as the Marangoni number is small.With the Marangoni number increasing,the effect of the buoyancy increases,which makes the upper roll cell weaken and the lower roll cell strengthen.展开更多
Using asymptotical analysis,we investigate the characteristics of the coupled thermal and solutal capillary convection with the radial temperature and solute concentration gradients in a shallow annular pool with the ...Using asymptotical analysis,we investigate the characteristics of the coupled thermal and solutal capillary convection with the radial temperature and solute concentration gradients in a shallow annular pool with the free surface.The pool is heated from the outer cylinder with high solutal concentration and cooled at the inner cylinder with low solutal concentration.The asymptotic solution is obtained in the core region in the limit as the aspect ratio,which is defined as the ratio of the depth to the width of the pool,goes to zero.The comparison with the previous work certifies that the asymptotic solution is right and believable.The influences of the solutal capillary force,the buoyant force,the Soret effect and the geometric parameters on the fluid flow are analyzed.展开更多
基金supported by the National Natural Science Foundatin of China (Grant No. 50676112)
文摘Numerical simulations of flow in the melt(CdZnTe) with different conditions are conducted using the finite-difference method.When the top surface of the melt is solid wall under microgravity condition,the thermocapillary convection is caused in the melt by the surface tension gradient on the free surface.As the Marangoni number is small,the flow is steady thermocapillary convection.As the Marangoni number exceeds the critical value,the steady flow transits into unstable thermocapillary convection.When the top surface of the melt is free surface under microgravity,two roll cells are observed in the melt,which are driven by both the surface tension gradients on the upper and lower free surfaces.When the top surface of the melt is free surface under gravity condition,the effect of the buoyancy on the flow is little as the Marangoni number is small.With the Marangoni number increasing,the effect of the buoyancy increases,which makes the upper roll cell weaken and the lower roll cell strengthen.
基金supported by the National Natural Science Foundation of China (Grant No 51176209)
文摘Using asymptotical analysis,we investigate the characteristics of the coupled thermal and solutal capillary convection with the radial temperature and solute concentration gradients in a shallow annular pool with the free surface.The pool is heated from the outer cylinder with high solutal concentration and cooled at the inner cylinder with low solutal concentration.The asymptotic solution is obtained in the core region in the limit as the aspect ratio,which is defined as the ratio of the depth to the width of the pool,goes to zero.The comparison with the previous work certifies that the asymptotic solution is right and believable.The influences of the solutal capillary force,the buoyant force,the Soret effect and the geometric parameters on the fluid flow are analyzed.
