Lyubimova T, Zubova N
Institute of Continuous Media Mechanics UB RAS, 614013, Perm, Russia,
Eur Phys J E Soft Matter. 2015 Mar;38(3):19. doi: 10.1140/epje/i2015-15019-2. Epub 2015 Mar 26.
We present the results of numerical simulations of onset and nonlinear regimes of a ternary mixture convection in a square cavity subjected to the gravity field and vertical gradients of temperature and concentration. The stability problem for the non-convective state of the mixture is solved using a software package for the investigation of the stability of flows. Nonlinear regimes of convection are studied numerically by the finite difference method. The dependences of critical parameters on the net separation ratio are obtained for the cases of heating from above and below. Numerical data on the temporal evolution of the integral characteristics of flow and heat and mass transfer and of the fields of stream function, temperature and concentration are obtained for different values of the Rayleigh number and net separation ratio.
我们给出了在重力场以及温度和浓度垂直梯度作用下，方形腔内三元混合物对流的起始和非线性状态的数值模拟结果。使用一个用于研究流动稳定性的软件包来解决混合物非对流状态的稳定性问题。通过有限差分法对对流的非线性状态进行了数值研究。得到了从上加热和从下加热情况下临界参数与净分离比的关系。针对不同的瑞利数和净分离比，获得了关于流动、传热和传质的积分特性以及流函数、温度和浓度场随时间演变的数值数据。
