Summary
This study presents the numerical predictions of the fluid flow and heat transfer characteristics for three turbulent impingement slot jets. The turbulent governing equations are solved by a control-volume-based finite-difference method with power-law scheme, the well knownK-ε model, and its associate wall function to describe the turbulent behavior. The velocity and pressure terms of momentum equations are solved by the SIMPLE (Semi-Implicit Method for Pressure-Linked Equation) method. In this study nonuniform staggered grids are used. The parameters interesting include entrance Reynolds number (Re), dimensionless nozzle to surface space (H/W), dimensionless pitch (H/W), and dimensionless velocity ratio (U s /V j ). The computed results show that the dimensionless pitch has a strong influence on the heat transfer characteristics. In the case with surface motion, it is found that the skin friction coefficient of the impinging surface is strongly affected by the surface motion, but the heat transfer characteristic is not significant in the range of 0.05≤U s /V j ≤0.25.
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Abbreviations
- C 1,C 2,C μ :
-
turbulent constant
- C f :
-
skin friction coefficient
- E :
-
constant
- G :
-
generation rate of turbulent kinetic energy
- H :
-
distance between the nozzle and the impingement surface
- i :
-
turbulence intensity
- K :
-
turbulent kinetic energy
- Nu:
-
local Nusselt number
- P :
-
pitch
- q″:
-
heat flux
- Re:
-
Reynolds number
- S ϕ :
-
source term
- T :
-
temperature
- U τ :
-
friction velocity
- U s :
-
velocity of surface motion
- V j :
-
jet velocity
- U, V :
-
x, y component velocity
- W :
-
nozzle width
- y + :
-
dimensionless distance from the wall
- ϕ:
-
dependent variables
- Γ φ :
-
diffusion coefficient of ϕ equation
- α:
-
thermal diffusivity of fluid
- ϱ:
-
density
- κ:
-
von Kármán constant
- σ:
-
turbulent Prandtl number
- μ:
-
dynamic viscosity
- ν:
-
kinematic viscosity
- τ w :
-
wall shear stress
- ε:
-
turbulent energy dissipation rate
- λ:
-
length scale constant
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Yang, Y.T., Hao, T.P. Numerical studies of three turbulent slot jets with and without moving surface. Acta Mechanica 136, 17–27 (1999). https://doi.org/10.1007/BF01292295
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DOI: https://doi.org/10.1007/BF01292295