We examine the process of convective dissolution in a Hele–Shaw cell. We consider a one-sided configuration and we propose a newly developed method to reconstruct the velocity field from concentration measurements. The great advantage of this Concentration-based Velocity Reconstruction (CVR) method consists of providing both concentration and velocity fields with a single snapshot of the experiment recorded in high resolution. We benchmark our method vis–a–vis against numerical simulations in the instance of Darcy flows, and we also include dispersive effects to the reconstruction process of non-Darcy flows. The absence of laser sources and the presence of one low-speed camera make this method a safe, accurate, and cost-effective alternative to classical PIV/PTV velocimetry processes. Finally, as an example of possible application, we employ the CVR method to analyse the tip splitting phenomena.

中文翻译：

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对流 Hele-Shaw 流中基于浓度的速度重建

我们研究了 Hele-Shaw 电池中的对流溶解过程。我们考虑了单边配置，并提出了一种新开发的方法来从浓度测量中重建速度场。这种基于浓度的速度重建 (CVR) 方法的巨大优势包括提供浓度和速度场以及以高分辨率记录的单个实验快照。我们将我们的方法与达西流实例中的数值模拟进行对比，我们还包括对非达西流重建过程的色散效应。没有激光源和一个低速相机的存在使这种方法成为经典 PIV/PTV 测速过程的安全、准确和经济高效的替代方法。最后，作为可能应用的一个例子，