Abbreviations
- a :
-
inner radius of the flow region
- b :
-
radius of the water curtain
- d :
-
diameter of the beads
- h :
-
thickness of the slot
- k :
-
permeability
- N :
-
number of sources in the water curtain
- p :
-
pressure
- p 0 :
-
total pressure drop across the flow region
- p t :
-
pressure at a source in the water curtain
- P R :
-
pressure at the outer radius of the flow region
- Q :
-
dimensionless flow rate from the water curtain
- q 0 :
-
flow rate from the cavity
- q s :
-
flow rate from one source in the water curtain
- q t :
-
flow rate from the water curtain
- r :
-
radial coordinate
- R :
-
outer radius of the flow region
- R i :
-
smallest influence distance between the cavity and a source
- v :
-
bulk velocity
- α :
-
dimensionless inner radius of the flow region
- β :
-
dimensionless radius of the water curtain
- Γ :
-
auxiliary variable
- μ :
-
viscosity
- θ n :
-
azimuthal position of the n-th source of the water curtain
- θ i :
-
influence angle of the water curtain
References
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Rehbinder, G., Karlsson, R. & Dahlkild, A. A study of a water curtain around a gas store in rock. Applied Scientific Research 45, 107–127 (1988). https://doi.org/10.1007/BF00386207
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DOI: https://doi.org/10.1007/BF00386207