单面加热矩形通道热入口段层流对流换热特性的场协同分析

对单面加热矩形通道热入口段的层流对流换热问题进行了数值模拟研究,给出了不同截面比的局部努赛尔数。推导出单面加热时的场协同方程,以此分析了不同截面比下加热边界条件对努赛尔数的影响规律。     

Transportation Characteristics for a Class of Generalized N-Diffusion Equation with Convection

A suitable similarity transformation group is used to reduce the power law parabolic partial equation to a classof singular nonlinear boundary value problems. Analytical solutions and numerical solutions both are presented for the specific power law index N, conductivity and convective functions, and the associated transportation characteristics are discussed in detail.     

求解对流扩散方程的ICT-MMOCAA差分解法

Combing the ideas of FCT^[1,2]with the MMOCAA^[3],the ICT-MMOCAA difference method,in which the transport is corrected by interpolation,is established for convection diffusion problem in the paper,The new method possesses the property of general FCT schemes and it is free from oscillation,with which the large gradient problem is solved by the MMOCAA difference method based on high-order(≥2)Lagrange interpolation^[3].Because the analysis in [3]is only suit for the scheme based on linear interpolation,the analysis method difered form [3] is used for obaining the error estimates of the new method.The numerical example is given in the paper.     

非线性对流扩散方程沿特征线的多步有限体积元格式

对于二维非线性对流扩散方程构造了沿特征线方向的多步有限体积元格式．关于空间采用二次有限体积元方法离散，关于时间采用多步法进行离散，获得了O(Δt^2 h^2)形式的误差估计．本文最后给出的数值算例表明了方法的有效性．     

THE UPWIND FINITE ELEMENT SCHEME AND MAXIMUM PRINCIPLE FOR NONLINEAR CONVECTION-DIFFUSION PROBLEM

In this paper, a kind of partial upwind finite element scheme is studied for twodimensional nonlinear convection-diffusion problem. Nonlinear convection term approximated by partial upwind finite element method considered over a mesh dual to the triangular grid, whereas the nonlinear diffusion term approximated by Galerkin method. A linearized partial upwind finite element scheme and a higher order accuracy scheme are constructed respectively. It is shown that the numerical solutions of these schemes preserve discrete maximum principle. The convergence and error estimate are also given for both schemes under some assumptions. The numerical results show that these partial upwind finite element scheme are feasible and accurate.     

细长竖直管路内自然对流沸腾临界热通量研究

l引言管内或窄小流路内的自然对流沸腾CHF的研究比较少。文献［1～41对水及氟里昂系等液体进行了实验，在Kutataladze【’］的池内沸腾无量式基础上，提出如下经验公式当L／De－－＋0时上式退化为池内沸腾公式。式中qm。x是临界热通量；Hi。是蒸发潜热；。是汽液界面张力；尸l和p。分别是液体和蒸汽的密度；9是重力加速度；c是实验常数；不同研究者之间相差很大。当L／De较大时各经验公式的计算值会相差l～2倍。式（1）没有任何物理机理的支持，仅以J和L／De之间的无量纲关系对实验值进行统计整理，对物性的实际影响、De独立于L／De的…     

液固对流相变问题的焓式有限元法

本文基于焓的对流扩散方程,提出一种求解具有糊状区液固相变对流传热问题的有限元方法,避免了通常采用温度对流扩散方程进行数值求解所带来的许多困难,对问题的解决更加自然、简便。算例表明,本文提出的方法是有效且可行的。     

自然对流边界层中湍流的发生

自然对流边界层中从层流到湍流的转捩经历了浮力振型、无摩擦振型和黏性振型的三重流动不稳定性相继产生的前转捩过程,以及近壁迅速出现强湍流源,随之平缓地向自模拟的湍流边界层过渡的热转捩过程.浮力振型在修正Grashof数G>40时开始失稳并成为主要振型,在振幅分布中3种振型的临界层位置处出现3个峰值;在G>100时浮力振型消失,无摩擦振型失稳并成为主要振型,振幅分布中在近壁区还出现黏性振型的峰值;在G>170时无摩擦振型经非线性演化在外层形成较弱的湍流,但内层黏性应力仍远高于湍流应力,振幅分布中仅有与黏性振型相应的峰值,在频谱中黏性振型的基频、第一、第二、第三阶亚谐频随G的增加相继出现,此时黏性不稳定波的高频成分已转化为湍流,但低频成分仍按线性规律增长,直至湍流惯性子区开始形成;至G>800时黏性振型消失,并在G=850附近时近壁区出现强湍流源,湍流应力、湍能产生项和近壁湍流热流率剧增.在热转捩后期,湍流应力和湍能产生项明显下降,流动在内外层趋于平衡.     

斜压流体产生涡旋的数值模拟

本文以二维定常方腔中的自然对流为例，对斜压流体产生涡旋的力学现象进行了数值研究和计算结果的显示     

旋转流体的实验研究

本文是作者近几年在旋转流体实验室模拟方面做的主要工作，研究涉及气动转台上，旋转流体对流涡旋的运动，水动转台上，旋转流体斜压波表面流动的变化，不稳定性结构，三维温度结构，急流的三维结构，地形的影响等诸多方面的问题。部分实验结论与大气实际观测结果有着极好地相似。