The relativistic equation of motion in turbulent jets

TL;DR

This paper derives a relativistic equation of motion for turbulent jets based on conservation of relativistic momentum, assuming null pressure and constant density, to better understand jet dynamics at high velocities.

Contribution

It introduces a simplified relativistic model for turbulent jets using key assumptions, extending classical descriptions to relativistic regimes.

Findings

Derived a relativistic trajectory formula for turbulent jets.

Provided analytical expressions for relativistic velocities.

Highlighted the impact of relativistic effects on jet behavior.

Abstract

The turbulent jets are usually described by classical velocities. The relativistic case can be treated starting from the conservation of the relativistic momentum. The two key assumptions which allow to obtain a simple expression for the relativistic trajectory and relativistic velocity are null pressure and constant density.