Hydrodynamic stability of three-dimensional homogeneous flow topologies. Academic Article

abstract

• This article examines the hydrodynamic stability of various homogeneous three-dimensional flow topologies. The influence of inertial and pressure effects on the stability of flows undergoing strain, rotation, convergence, divergence, and swirl are isolated. In marked contrast to two-dimensional topologies, for three-dimensional flows the inertial effects are always destabilizing, whereas pressure effects are always stabilizing. In streamline topologies with a negative velocity-gradient third invariant, inertial effects prevail leading to instability. Vortex-stretching is identified as the underlying instability mechanism. In flows with positive velocity-gradient third derivative, pressure overcomes inertial effects to stabilize the flow.

authors

• Girimaji, Sharath

published proceedings

• Phys Rev E Stat Nonlin Soft Matter Phys

altmetric score

• 0.5

author list (cited authors)

• Mishra, A. A., & Girimaji, S. S.

citation count

• 17

complete list of authors

• Mishra, Aashwin A||Girimaji, Sharath S

publication date

• November 2015

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review E: Statistical, Nonlinear, and Soft Matter Physics  Journal

keywords

• 0915 Interdisciplinary Engineering

PubMed Central ID

• 26651773

Digital Object Identifier (DOI)

• 10.1103/PhysRevE.92.053001

start page

• 053001

volume

• 92

issue

• 5