Summary
Measurements were made of the heat transfer from horizontal wires and cylinders to air in the case of a vibrating wire and of wires and cylinders of various diameters in a smooth and in a turbulent air flow of known intensity and scale of turbulence. The Reynolds numbers ranged from 60 to 25 800, the intensity of turbulence from 2% to 13% and the ratio between the integral scale of turbulence and cylinder diameter from 0.31 to 240. The results show how the ratio between the Nusselt number in turbulent flow and the Nusselt number in smooth flow varies as a function of the Reynolds number, ot the intensity of turbulence and of the ratio between the scale of turbulence and cylinder diameter.
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Abbreviations
- a :
-
constant
- b :
-
constant
- c d :
-
drag coefficient of a cylinder
- d :
-
diameter of a cylinder, wire or sphere
- f :
-
function
- F :
-
surface area of a cylinder
- L :
-
a length scale of turbulence
- L x :
-
integral length scale of turbulence
- Nu :
-
Nusselt number =αd/λ
- Nu * :
-
ratio betweenNu for turbulent flow andNu for laminar flow
- P :
-
pressure on cylinder wall
- Q :
-
heat input
- Re :
-
Reynolds number =U d/ν
- u :
-
longitudinal velocity fluctuation
- u′ :
-
root-mean-square ofu
- U :
-
time-mean velocity
- v :
-
transverse velocity fluctuation
- v′ :
-
root-mean-square ofv
- X :
-
distance between a grid in the wind tunnel and a cylinder
- α:
-
coefficient of heat transmission, or angular distance along the circumference of a cylinder from the forward stagnation point
- θ:
-
temperature excess
- A :
-
coefficient of heat conduction
- ν:
-
coefficient of kinematic viscosity
- ϕ:
-
function of (Re.u′/U)
- ψ:
-
function of (L x /d)
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Van Der Hegge Zijnen, B.G. Heat transfer from horizontal cylinders to a turbulent air flow. Appl. sci. Res. 7, 205–223 (1958). https://doi.org/10.1007/BF03184649
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DOI: https://doi.org/10.1007/BF03184649