Abstract
Viscous flows through the screen normal to the uniform flow are numerically simulated and measuments of the mean velocity are made. Reynolds averaged Navier-Stokes equations are solved with a standardk-ε model. The existence of screen is regarded as extra sources in the momentum equations. The amount of extra source is related to the resistance coeffcient and the refraction coefficient of the screen. Elliptic type of equations are solved for 2 dimensional flow, and the partially parabolic equations for 3 dimensional flows. Wakes behind 3 dimensional mesh-screens of various configurations have been measured in the cavitation tunnel. The present numerical method is verifed to reasonably simulate the viscous wake of the screen, for wihich the inviscid theory is quite limited. Considerable attenuations of the viscous shear layer in th wake of the screen are experimentally observed and numerically simulated. A detached separation-bubble from the two-dimensional screen is simulated as the resistance coeffcient is increased to a certain level.
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Abbreviations
- A i ,B :
-
Coefficients in discretized equation
- C i :
-
Turbulence model constants
- dA :
-
Area of screen element
- G :
-
Generation ofk
- H :
-
Total head
- H o :
-
Half width of duct
- H s :
-
Half height of screen
- K :
-
Resistance coeffcient of screen
- k :
-
Turbulent kinetic energy
- p :
-
Static pressure
- q :
-
Velocity vector
- Re :
-
Reynolds number(W o H s /Re)
- S ϕ :
-
Source terms of subscripted entity
- U, V, W :
-
Velocity components inx, y, z-directions
- x, y, z :
-
Cartetian coordinates
- α:
-
Refraction coefficient of screen
- ε:
-
Dissipation rate ofk
- Γ:
-
Diffusion coefficient
- μ:
-
Viscocity
- μ eff :
-
Effective viscosity
- μ t :
-
Turbulent viscosity
- ω:
-
Vorticity vector
- ϕ:
-
Unknown variables
- ϱ:
-
Density
- σ k , σ ɛ :
-
Schmidt number of subscripted entity
- θ:
-
Incoming angle of flow to screen
- d :
-
Downstream surface of screen
- o or—o :
-
Far upstream of screen
- +o :
-
Far downstrean of screen
- P, E, W, N, S :
-
Grid points
- s :
-
Screen
- u :
-
Upstream surface of screen
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Kang, SH., Lee, HS., Jeon, WP. et al. Viscous flows through screens normal to the uniform stream. KSME Journal 3, 146–152 (1989). https://doi.org/10.1007/BF02953600
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DOI: https://doi.org/10.1007/BF02953600