Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid
Unsteady convectively driven flow along a vertical plate immersed in a stably stratified fluid
复制标题
沿着浸没在稳定分层流体中的垂直板的不稳定对流驱动流
DOI：
--
复制
发表时间：
2004
影响因子：
3.7
通讯作者：
E. Fedorovich
中科院分区：
文献类型：
--
作者：
Alan Shapiro;E. Fedorovich
本文重新讨论了对流驱动的一维（平行）流动沿无限大垂直平板沿着的经典问题。我们考虑流动引起的板温度的脉冲（步骤）的变化，突然应用的板热通量，和任意的时间变化板温度或板热通量。规定是压力功和垂直温度平流的热力学能量方程，一般被忽略的过程，在以前的一维研究这个问题。压力功项本身提供了Boussinesq模型的相对较小的改进，但可以方便地与垂直温度平流项结合，形成一个单独的项位温平流。静态稳定环境中空气的垂直运动（稳定的位温分层）与一个简单的负反馈机制有关：暖空气相对于环境上升、膨胀和冷却，而冷空气相对于环境下沉、压缩和变暖。对于普兰特数为1的情况，通过拉普拉斯变换方法获得了粘性运动方程的精确解。压力功和垂直温度平流被发现有显着的影响，在以后的时间的解决方案的结构。
This paper revisits the classical problem of convectively driven one-dimensional (parallel) flow along an infinite vertical plate. We consider flows induced by an impulsive (step) change in plate temperature, a sudden application of a plate heat flux, and arbitrary temporal variations in plate temperature or plate heat flux. Provision is made for pressure work and vertical temperature advection in the thermodynamic energy equation, processes that are generally neglected in previous one-dimensional studies of this problem. The pressure work term by itself provides a relatively minor refinement of the Boussinesq model, but can be conveniently combined with the vertical temperature advection term to form a single term for potential temperature advection. Vertical motion of air in a statically stable environment (stable potential temperature stratification) is associated with a simple negative feedback mechanism: warm air rises, expands and cools relative to the environment, whereas cool air subsides, compresses and warms relative to the environment. Exact solutions of the viscous equations of motion are obtained by the method of Laplace transforms for the case where the Prandtl number is unity. Pressure work and vertical temperature advection are found to have a significant impact on the structure of the solutions at later times.