Two cases of an overlying inversion imposed on a stable boundary layer are investigated, extending the work of Hancock and Hayden (Boundary-Layer Meteorol 168:29–57, 2018; 175:93–112, 2020). Vertical profiles of Reynolds stresses and heat flux show closely horizontally homogeneous behaviour over a streamwise fetch of more than eight boundary-layer heights. However, profiles of mean temperature and velocity show closely horizontally homogeneous behaviour only in the top two-thirds of the boundary layer. In the lower one-third the temperature decreases with fetch, directly as a consequence of heat transfer to the surface. A weaker effect is seen in the mean velocity profiles, curiously, such that the gradient Richardson number is invariant with fetch, while various other quantities are not. Stability leads to a ‘blocking’ of vertical influence. Inferred aerodynamic and thermal roughness lengths increase with fetch, while the former is constant in the neutral case, as expected. Favourable validation comparisons are made against two sets of local-scaling systems over the full depth of the boundary layer. Close concurrence is seen for all stable cases for z/L < 0.2, where z and L are the vertical height and local Obukhov length, respectively, and over most of the layer for some quantities.

研究了在稳定边界层上施加上覆反演的两种情况，扩展了汉考克和海登的工作（边界层Meteorol 168：29-57，2018; 175：93-112，2020）。雷诺应力和热通量的垂直分布在超过8个边界层高度的流向获取中显示出紧密的水平均匀行为。但是，平均温度和速度的分布图仅在边界层的顶部三分之二处显示出接近水平的均匀行为。在较低的三分之一处，温度直接由于热量传递到表面而随取而降低。奇怪的是，在平均速度曲线中观察到的影响较弱，以至于理查森梯度数随取而不变，而其他各种量则不然。稳定性导致垂直影响的“阻碍”。空气动力学和热粗糙度的推断长度随取而增加，而在中性情况下，前者是恒定的，这与预期的一样。在边界层的整个深度上，针对两组局部缩放系统进行了有利的验证比较。在所有稳定的案例中，都可以看到密切的一致z / L  <0.2，其中z和L分别是垂直高度和局部Obukhov长度，并且在一定数量的大部分层上。