Abstract
This paper deals with the visualization of swirling decaying flow in an annular cell fitted with a tangential inlet. A wall visualization method, the so-called dot-paint method, allows the determination of the flow direction on both cylinders of the cell. This study showed the complex structure of the flow field just downstream of the inlet, where a recirculation zone exists, the effects of which are more sensitive on the inner cylinder. The flow structure can be considered as three-dimensional in the whole entrance section. The swirl number and the entrance length were estimated using the measured angle of the streamlines. Experimental correlations of these two parameters, taking into account the Reynolds number and the axial distance from the tangential inlet, are given.
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Abbreviations
- e = R 2 − R 1 :
-
thickness of the annular gap (m)
- L ax :
-
entrance length of axial flow on the outer cylinder (m)
- L ti :
-
length of the three-dimensional flow region on the inner cylinder (m)
- L to :
-
length of the three-dimensional flow region on the outer cylinder (m)
- Q v :
-
volumetric flowrate in the annular cell (m3s−)
- r :
-
radial position (m)
- R 1 :
-
external radius of the inner cylinder (m)
- R 2 :
-
internal radius of the outer cylinder (m)
- Re=2eU m /v :
-
Reynolds number
- Sn :
-
swirl number
- T :
-
time average resulting velocity (m s−)
- u :
-
time average axial velocity component (ms −)
- \(U_m = \frac{{{\text{Q}}_v }}{{\left( {\pi \left( {R_2^2 - R_1^2 } \right)} \right)}}\) :
-
average velocity in the annulus (m s−)
- w :
-
time average tangential velocity component (m s−)
- x :
-
axial location from the tangential inlet (m)
- φ e :
-
diameter of the tangential inlet (m)
- θ :
-
streak angle with respect to the horizontal (degree)
- ϑ :
-
angle with respect to the tangential inlet axis (degree)
- gn :
-
kinematic viscosity of the working liquid (m2s−)
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Aouabed, H., Legentilhomme, P. & Legrand, J. Wall visualization of swirling decaying flow using a dot-paint method. Experiments in Fluids 19, 43–50 (1995). https://doi.org/10.1007/BF00192232
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DOI: https://doi.org/10.1007/BF00192232