Investigation of Stability of Plane Couette Flow of a Second‐Order Fluid by the Energy Method

1974 ◽  
Vol 18 (4) ◽  
pp. 527-539 ◽  
Author(s):  
Pijush K. Kundu
Keyword(s):  
Couette Flow ◽  
Energy Method ◽  
Second Order ◽  
Plane Couette Flow

scholarly journals Non-modal instability in plane Couette flow of a power-law fluid

2011 ◽  
Vol 676 ◽  
pp. 145-171 ◽  
Author(s):  
R. LIU ◽  
Q. S. LIU
Keyword(s):  
Couette Flow ◽  
Power Law ◽  
Energy Method ◽  
Stability Theory ◽  
Initial Conditions ◽  
Shear Thinning ◽  
Plane Couette Flow ◽  
Power Law Fluid ◽  
The Stability ◽  
Thinning Effect

In this paper, we study the linear stability of a plane Couette flow of a power-law fluid. The influence of shear-thinning effect on the stability is investigated using the classical eigenvalue analysis, the energy method and the non-modal stability theory. For the plane Couette flow, there is no stratification of viscosity. Thus, for the stability problem the stress tensor is anisotropic aligned with the strain rate perturbation. The results of the eigenvalue analysis and the energy method show that the shear-thinning effect is destabilizing. We focus on the effect of non-Newtonian viscosity on the transition from laminar flow towards turbulence in the framework of non-modal stability theory. Response to external excitations and initial conditions has been studied by examining the ε-pseudospectrum and the transient energy growth. For both Newtonian and non-Newtonian fluids, it is found that there can be a rather large transient growth even though the linear operator of the Couette flow has no unstable eigenvalue. The results show that shear-thinning significantly increases the amplitude of response to external excitations and initial conditions.

DNS OF TURBULENT HEAT TRANSFER IN PLANE COUETTE FLOW

Equipment ◽  
2006 ◽  
Author(s):  
S. Hane ◽  
T. Tsukahara ◽  
K. Iwamoto ◽  
H. Kawamura
Keyword(s):  
Heat Transfer ◽  
Couette Flow ◽  
Turbulent Heat Transfer ◽  
Turbulent Heat ◽  
Plane Couette Flow

Cyclic generation of wall slip at the exit of plane Couette flow

2003 ◽  
Vol 47 (3) ◽  
pp. 737-757 ◽  
Author(s):  
Hiroshi Mizunuma ◽  
Hideyuki Takagi
Keyword(s):  
Couette Flow ◽  
Wall Slip ◽  
Plane Couette Flow

Hysteresis behavior in spanwise rotating plane Couette flow with varying rotation rates

2019 ◽  
Vol 4 (5) ◽  
Author(s):  
Yuhan Huang ◽  
Zhenhua Xia ◽  
Minping Wan ◽  
Yipeng Shi ◽  
Shiyi Chen
Keyword(s):  
Couette Flow ◽  
Plane Couette Flow ◽  
Hysteresis Behavior ◽  
Rotation Rates
Sign in / Sign up

Export Citation Format

Share Document