The role of second viscosity in the velocity shear-induced heating mechanism

TL;DR

This paper investigates how second viscosity affects the heating mechanism induced by velocity shear in compressible fluids, revealing conditions where it significantly alters heating efficiency.

Contribution

It introduces the influence of second viscosity into the analysis of non-modal instabilities in compressible flows, extending previous models.

Findings

Second viscosity can significantly impact heating efficiency.

Compressibility effects are crucial in non-modal instability analysis.

The study identifies conditions where second viscosity alters the heating mechanism.

Abstract

In the present paper we study the influence of second viscosity on non-modally induced heating mechanism. For this purpose we study the set of equations governing the hydrodynamic system. In particular, we consider the Navier Stokes equation, the continuity equation and the equation of state, linearise them and analyse in the context of non-modal instabilities. Unlike previous studies in the Navier Stokes equation we include the contribution of compressibility, thus the second viscosity. By analysing several typical cases we show that under certain conditions the second viscosity might significantly change efficiency of the mechanism of heating.