Effect of a constant radial temperature gradient on a Taylor–Couette flow with axial wall slits

2010 ◽  
Vol 42 (6) ◽  
pp. 065501 ◽  
Author(s):  
Dong Liu ◽  
Sang-Hyuk Lee ◽  
Hyoung-Bum Kim
Keyword(s):  
Temperature Gradient ◽  
Couette Flow ◽  
Radial Temperature Gradient ◽  
Radial Temperature ◽  
Taylor Couette ◽  
Taylor Couette Flow

Experimental Study of Taylor-Couette Flow With Constant Radial Temperature Gradient

2009 ◽  
Author(s):  
Dong Liu ◽  
Seok-Hwan Choi ◽  
Sang-Hyuk Lee ◽  
Jung-Ho Lee ◽  
Hyoung-Bum Kim
Keyword(s):  
Temperature Gradient ◽  
Couette Flow ◽  
Flow Instability ◽  
Outer Cylinder ◽  
Taylor Vortex ◽  
Radial Temperature Gradient ◽  
Obvious Effect ◽  
Radial Temperature ◽  
Taylor Couette ◽  
Taylor Couette Flow

The flow between two concentric cylinders with the inner one rotating and with an imposed radial temperature gradient is studied using digital particle image velocimetry (DPIV) method. Four models of the outer cylinder without and with different numbers of slits (6, 9 and 18) are considered, and the radius ratio and aspect ratio of each models were 0.825 and 48, respectively. The flow regime in the Taylor-Couette flow was studied by increasing the Reynolds number. The results showed that smaller number of slits has no obvious effect on the transition process, which only change the shape of the vortex, and the transition to turbulent Taylor vortex is accelerated as the number of slit increases in both isothermal and non-isothermal conditions. It is also shown that the presence of temperature gradient increased the flow instability obviously as the Froude number larger than 0.0045.

Experiments on the Stability of Taylor-Couette Flow With Different Radial Temperature Gradient

2010 ◽  
Author(s):  
Dong Liu ◽  
Hyoung-Bum Kim
Keyword(s):  
Reynolds Number ◽  
Temperature Gradient ◽  
Couette Flow ◽  
Outer Cylinder ◽  
Transition Process ◽  
Taylor Vortex ◽  
Radial Temperature ◽  
Buoyant Force ◽  
Taylor Couette ◽  
Taylor Couette Flow

The effect of the temperature gradient and the presence of slits in the outer cylinders involved in creating a Taylor-Couette flow was investigated by measuring the velocity field inside the gap simultaneously. The slits were azimuthally located along the inner wall of outer cylinder and the number of slits was 18. The results showed that the buoyant force due to the temperature gradient clearly generated the helical flow when the rotating Reynolds number is small. For the plain model, the transition to turbulent Taylor vortex flow is not affected by the temperature gradient considered in this study. In addition, the transition process of 18-slit model was accelerated due to the slit wall. As the temperature gradient became larger, the critical Reynolds number of the transition process decreased.

scholarly journals Short-wavelength local instabilities of a circular Couette flow with radial temperature gradient

2017 ◽  
Vol 818 ◽  
pp. 319-343 ◽  
Author(s):  
Oleg N. Kirillov ◽  
Innocent Mutabazi
Keyword(s):  
Temperature Gradient ◽  
Couette Flow ◽  
Short Wavelength ◽  
Thermal Conductance ◽  
Radial Temperature Gradient ◽  
Radial Temperature ◽  
Circular Couette Flow ◽  
Stable Flow ◽  
Good Heat ◽  
Axisymmetric Perturbations

We perform a linearized local stability analysis for short-wavelength perturbations of a circular Couette flow with a radial temperature gradient. Axisymmetric and non-axisymmetric perturbations are considered and both the thermal diffusivity and the kinematic viscosity of the fluid are taken into account. The effect of asymmetry of the heating both on centrifugally unstable flows and on the onset of instabilities of centrifugally stable flows, including flows with a Keplerian shear profile, is thoroughly investigated. It is found that an inward temperature gradient destabilizes the Rayleigh-stable flow either via Hopf bifurcation if the liquid is a very good heat conductor or via steady state bifurcation if viscosity prevails over the thermal conductance.

Stability of Flow Between Arbitrarily Spaced Concentric Cylindrical Surfaces Including the Effect of a Radial Temperature Gradient

1964 ◽  
Vol 31 (4) ◽  
pp. 585-593 ◽  
Author(s):  
J. Walowit ◽  
S. Tsao ◽  
R. C. DiPrima
Keyword(s):  
Temperature Gradient ◽  
Couette Flow ◽  
Simple Formula ◽  
Negative Temperature ◽  
Radial Temperature Gradient ◽  
Radial Temperature ◽  
Simple Set ◽  
Wide Range ◽  
The Stability ◽  
The Galerkin Method

The stability of Couette flow and flow due to an azimuthal pressure gradient between arbitrarily spaced concentric cylindrical surfaces is investigated. The stability problems are solved by using the Galerkin method in conjunction with a simple set of polynomial expansion functions. Results are given for a wide range of spacings. For Couette flow, in the case that the cylinders rotate in the same direction, a simple formula for predicting the critical speed is derived. The effect of a radial temperature gradient on the stability of Couette flow is also considered. It is found that positive and negative temperature gradients are destabilizing and stabilizing, respectively.

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