Abstract
An experimental study was conducted on the heat transfer under the condition of constant heat flux and the flow around a circular cylinder with tripping-wires, which were affixed at ± 65° from the forward stagnation point on the cylinder surface. The testing fluid was air and the Reynolds number Red, based on the cylinder diameter, ranged from 1.2 × 104 to 5.2×104. Especially investigated are the interactions between the heat transfer and the flow in the critical flow state, in relation to the static pressure distribution along the cylinder surface and the mean and turbulent fluctuating velocities in the wake. It is found that the heat transfer from the cylinder to the cross flow is in very close connection with the width of near wake.
Zusammenfassung
Der Wärmeübergang bei konstantem Wärmestrom und die Strömung um einen Kreiszylinder mit Stolperdrähten, die bei ± 65° vom vorderen Staupunkt angebracht werden, wurden in dieser Arbeit untersucht. Das strömende Medium war Luft bei Reynolds-Zahlen, definiert mit dem Zylinderdurchmesser, von 1.2×104 bis 5.2×104. Besonders wurde die Wechselwirkung zwischen Wärmeübergang und Strömung im kritischen Bereich untersucht in Bezug auf die statische Druckverteilung um den Zylinder und die mittlere Schwankungsgeschwindigkeit im Totwasser. Es ergibt sich, daß der Wärmeübergang sehr eng mit der Breite der abgelösten Strömung zusammenhängt.
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Abbreviations
- CD :
-
pressure drag coefficient=\(\mathop \smallint \limits_0^\prod \)Cp cos θ dθ
- Cp :
-
static pressure coefficient=(P−P∞)/1/2 ρU 2∞
- d:
-
cylinder diameter
- f:
-
vortex shedding frequency
- h:
-
heat transfer coefficient
- I:
-
electric current
- k:
-
roughness height
- Nu:
-
Nusselt number
- P:
-
static pressure
- q:
-
heat flux per unit area and unit time
- Red :
-
Reynolds number=U∞d/ν
- S:
-
area of heating surface
- St:
-
Strouhal number=fd/U∞
- T:
-
temperature
- U:
-
time mean velocity
- U∞ :
-
upstream velocity
- u′:
-
turbulent velocity fluctuation along mean flow direction
- V:
-
electric voltage
- W:
-
wake width defined as distance between points of U/U∞= 1.0
- W*:
-
non-dimensional half wake width=W/2d
- x:
-
horizontal distance from cylinder axis
- y:
-
vertical distance normal to wake axis
- ɛ:
-
tripping-wire diameter
- θ:
-
circumferential angle from stagnation point
- λ :
-
thermal conductivity of air
- ν :
-
kinematic viscosity of air
- ρ:
-
density of air
- b:
-
back
- m:
-
mean
- w:
-
wall
- ∞:
-
main flow
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Aiba, S., Ota, T. & Tsuchida, H. Heat transfer and flow around a circular cylinder with tripping-wires. Wärme- und Stoffübertragung 12, 221–231 (1979). https://doi.org/10.1007/BF00997314
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DOI: https://doi.org/10.1007/BF00997314