Nick More, University of North Carolilna, Chapel Hill


Experimental Investigation of the Stability of a Stratified Fluid Flow Involving a Horizontal Gradient of Density


Abstract: A vertically moving boundary in stratified fluid can create and maintain a horizontal density gradient, with greater density fluid adjacent to the moving boundary. We have designed an experiment to study the hydrodynamics of this configuration, whereby the moving boundary consists of a fishing line towed vertically through a stably stratified fluid. A shear boundary layer is observed to develop in the fluid resulting in a horizontal density gradient. We measure the size of the shear layer as a function of the speed at which the line is towed. The hydrodynamic instability of this system manifests itself as an apparent jump in this plot and is qualitatively recognized by the appearance of eddies in the flow. Consequently, we are able to obtain a critical Reynolds number for the stability of this system. We also compare the layer size-to-speed observations with those obtained from an exact mathematical solution which approximates the geometry of the problem in the axial-symmetric case. Time permitting, we compare the experimentally obtained critical Reynold's number with the predictions made by analytic asymptotics of the resulting eigenvalue problem. This work is supported by Research Training Grant, RTG NSF DMS-0502266

Advisor: Rich McLaughlin (University of North Carolina, Chapel Hill)