Effect of suspended particles on the stability of plane Poiseuille flow
type: Item
instance of: scholarly article
title: Effect of suspended particles on the stability of plane Poiseuille flow
zbMATH Open document ID: 0602.76045
DOI: 10.1007/BF01051098
author: Ch. B. Narmuratov
author: A. S. Solov'ev
published in: Fluid Dynamics
publication date: 1986-01-01T00:00:00Z
review text: The behavior of the neutral stability curves is investigated for various values of the particle relaxation time and mass concentration \(0\leq \tau \leq 100\) and \(0\leq f\leq 0.1\). It is shown that as \(\tau\) increases from zero the flow is at first destabilized and then at \(\tau >6\) becomes stable, while at \(\tau >40\) the stabilizing effect of the dispersed phase grows weaker. It is found that there is a certain interval \(10<\tau <40\) on which the flow is most stable.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3972450
zbMATH Keywords: stability of dusty flows
zbMATH Keywords: Poiseuille flow
zbMATH Keywords: spectral methods
zbMATH Keywords: neutral stability curves
zbMATH Keywords: particle relaxation time
zbMATH Keywords: mass concentration
zbMATH Keywords: stabilizing effect
zbMATH Keywords: dispersed phase
MaRDI profile type: Publication
cites work: On the stability of laminar flow of a dusty gas
cites work: The stability of plane Poiseuille flow of a dusty gas
cites work: Stability of a Stokes’ layer of a dusty gas
cites work: Lift-generated instability of the plane Couette flow of a particle-fluid mixture
cites work: Two-phase flows: Constitutive equations for lift and Brownian motion and some basic flows
cites work: Accurate solution of the Orr–Sommerfeld stability equation
cites work: A matrix method for ordinary differential eigenvalue problems
description: scientific article; zbMATH DE number 3972450