Study of Gravity Waves Concemed With Energy Potentials Line Soures and Interation With Inertial current

Abstract

We present a mainly theoretical study of high-Reynolds-number planar gravity currents in a uniformly flowing deep ambient. The gravity currents are generated by a constant line source of fluid, and may also be supplied with a source of horizontal momentum and a source of particles. We model the motion using a shallow-water approximation and represent the effects of the ambient flow by imposing a Froude -number condition in a moving frame. We present analytic and numerical expressions for the threshold ambient flow speed above which no upstream propagation can occur at longtime. For homogeneous gravity currents in an ambient flow below threshold, we find similarity solutions in which the up- and downstream fronts spread at a constant rate and the current propagates indefinitely in both directions. For gravity currents consistingofbothinterstitial fluid of a different density to the ambient and sediment in gparticle load, we find long-time asymptotic solutions for ambient flow strengths below threshold