论文标题
浮力驱动倾斜块的解散:侵蚀速率和模式形成
Buoyancy driven dissolution of inclined blocks: Erosion rate and pattern formation
论文作者
论文摘要
人体溶解成静止的水会导致在驱动浮力流的界面处的密度分层。如果分层不稳定,则流动不稳定为对流溶质羽流。通过与浓度替代温度的雷利 - 贝纳德不稳定性类似,这种现象被称为溶质雷利 - 贝纳德的不稳定性。在这里,我们报告了各种浓度的水溶液中由盐,焦糖或石膏制成的倾斜矩形块的溶解实验。溶质在羽毛脱落和下沉之前形成羽流时沿着块流动。沿块的这种流动组织的纵向平行条带的发射具有明确定义的毫米尺度波长。流动的不稳定性反映在边界层的浓度场上,该纵向凹槽刻在块上。这些凹槽与流量相互作用,并变成3维杯的铺路,就像大小并在上游传播的图案一样。这些床形让人联想到在洞穴或冰山壁上观察到的扇贝床形。尽管块界面是高度动力的,并且随着时间的流逝而发展,但它在全球尺度上保持平坦,并以固定速率退缩。我们得出了基于恒定厚度的浓度边界层的倾斜界面的缩放定律和倾斜界面处的模式成因,该边界由恒定厚度(由流动不稳定性控制),但沿块的模式或流动不起作用。我们将这些结果应用于升华模式的形成。
The dissolution of a body into quiescent water leads to density stratifications at the interfaces that drive buoyant flows. Where the stratification is unstable, the flow destabilizes into convective solute plumes. By analogy with the Rayleigh-Bénard instability where concentration replaces temperature, this phenomenon is known as the solutal Rayleigh-Bénard instability. Here we report experiments of the dissolution of inclined rectangular blocks made of salt, caramel or plaster in aqueous solutions of various concentrations. The solute flows along the block while forming plumes before they detach and sink. This flow along the block organizes the emission of plumes within longitudinal parallel stripes with a well-defined millimeter scale wavelength. The instability of the flow reflects on the concentration field in the boundary layer, which engraves longitudinal grooves onto the block. These grooves interact with the flow and turn into a paving of 3 dimensional cup like patterns that grow in size and propagate upstream. These bedforms are reminiscent of the scallop bedforms observed on the walls of cave or icebergs. Whereas the block interface is highly dynamical and evolves through time, it remains flat on the global scale and recedes at a stationary rate. We derive scaling laws for the receding velocity and the pattern genesis at the inclined interface that is based on a concentration boundary layer of constant thickness, which is controlled by the flow instability, but where the patterns nor the flow along the block do not play any role. We apply these results to the formation of sublimation patterns.