On the plane couette flow of a viscous compressible fluid with transpiration cooling

1974 ◽  
Vol 80 (1) ◽  
pp. 1-16 ◽  
Author(s):  
J. L. Bansal ◽  
N. C. Jain
Keyword(s):  
Couette Flow ◽  
Compressible Fluid ◽  
Transpiration Cooling ◽  
Viscous Compressible Fluid ◽  
Plane Couette Flow

scholarly journals Linear stability analysis of the homogeneous Couette flow in a 2D isentropic compressible fluid

Annals of PDE ◽  
2021 ◽  
Vol 7 (2) ◽  
Author(s):  
Paolo Antonelli ◽  
Michele Dolce ◽  
Pierangelo Marcati
Keyword(s):  
Velocity Field ◽  
Linear Stability ◽  
Couette Flow ◽  
Compressible Fluid ◽  
Continuity Equation ◽  
A Priori ◽  
Transient Growth ◽  
Viscous Compressible Fluid ◽  
Physics Literature ◽  
Inviscid Case

AbstractIn this paper, we study the linear stability properties of perturbations around the homogeneous Couette flow for a 2D isentropic compressible fluid in the domain $$\mathbb {T}\times \mathbb {R}$$ T × R . In the inviscid case there is a generic Lyapunov type instability for the density and the irrotational component of the velocity field. More precisely, we prove that their $$L^2$$ L 2 norm grows as $$t^{1/2}$$ t 1 / 2 and this confirms previous observations in the physics literature. On the contrary, the solenoidal component of the velocity field experiences inviscid damping, namely it decays to zero even in the absence of viscosity. For a viscous compressible fluid, we show that the perturbations may have a transient growth of order $$\nu ^{-1/6}$$ ν - 1 / 6 (with $$\nu ^{-1}$$ ν - 1 being proportional to the Reynolds number) on a time-scale $$\nu ^{-1/3}$$ ν - 1 / 3 , after which it decays exponentially fast. This phenomenon is also called enhanced dissipation and our result appears to be the first to detect this mechanism for a compressible flow, where an exponential decay for the density is not a priori trivial given the absence of dissipation in the continuity equation.

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

Oscillating Flow of a Viscous Compressible Fluid Through a Rigid Tube: A Theoretical Model

1981 ◽  
Vol BME-28 (5) ◽  
pp. 416-420 ◽  
Author(s):  
H. Franken ◽  
J. Cement ◽  
M. Cauberghs ◽  
K. P. Van de Woestijne
Keyword(s):  
Theoretical Model ◽  
Compressible Fluid ◽  
Oscillating Flow ◽  
Viscous Compressible Fluid ◽  
Rigid Tube
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