Analytical solutions of g-jitter induced double-diffusive convection with boundary collocation method
In this paper, analytical solutions of 2-D double-diffusive convection induced by g-jitter are obtained. The model problem in consideration is a square cavity filled with a binary liquid metal. The upper and lower walls are adiabatic, and the left side is fixed at a higher temperature. Double-diffusive melt convection is driven by buoyancy forces, which caused by the time-varying gravity perturbation and temperature gradient. To get the velocity field by analytical method, nonlinear term is ignored in N-S equation and energy equation. By introducing the stream function, the nondimensional equations of ow field can be written in the form of stream-function. The expression of velocity field can be obtained by taking the derivative of stream function. Then boundary collocation method is adopted to get analytical solution of the velocity. Substituting the analytical solutions of velocity into the energy equation and considering the nonlinear term in the energy equation, the small perturbation method was carried out to get the temperature field.
g-jitter analytical solutions boundary collocation method velocity field temperature
Z.H.He H.Z.Cao Z.Y.He
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;Schoo School of Municipal Environmental Engineering, Harbin Institute of Technology, Harbin 150001,China
国际会议
The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)
上海
英文
2007-08-15（万方平台首次上网日期，不代表论文的发表时间）