Influence of cooling on dynamics of buoyant jet

TL;DR

This paper investigates how Newtonian cooling affects the dynamics of buoyant jets driven by Rayleigh--Taylor instability, revealing three instability regimes influenced by the interplay of collapse and cooling times.

Contribution

It introduces a nonhydrostatic model incorporating nonuniform density and cooling, identifying three distinct instability regimes and their dependence on characteristic time scales.

Findings

Identifies collapse, algebraic instability, and inertial motion as key regimes.

Shows the transition between regimes depends on collapse and cooling time ratio.

Provides a framework for understanding buoyant jet behavior under cooling effects.

Abstract

The Rayleigh--Taylor instability which is responsible for the occurrence of narrow upward jets are studied in the scope of the nonhydrostatic model with horizontally--nonuniform density and the Newtonian cooling. As analysis shows, the total hierarchy of instabilities in this model consists of three regimes -- collapse, algebraic instability, and inertial motion. Realization of these stages, mutual transitions and interference depend on a ratio between two characteristic time scales -- collapse time and cooling time.