Abstract
Heat transfer was studied on a separate transverse row of tubes with the relative pitch ofs 1/d=1.5 and a staggered bundle with the relative pitches ofs 1/d×s 2/d=1.15×0.98. A test tube in the transverse row was used with a variable displacement from the symmetric position. The tube bundle was placed at different gaps from the shell wall. Experiments were performed in air and water in the range ofRe from 103 to 6×105. Asymmetric flows over transverse rows are accompanied by augmented heat transfer rates and steady state lift force which becomes higher with the amount of displacement. The presence of the shell wall introduces alterations in the thermal and fluid dynamics over outside tubes in a bundle.
Zusammenfassung
Die Wämeübertragung wurde an einer einzelnen Rohrreihe mit der Querteilungs 1/d=1,5 und in einem versetzten Rohrbündel mit der Querteilungs 1/d×s 2/d=1,15×0,98 erforscht. Das Test-Rohr in der Einzelreihe wurde in verschiedenen Abständen von der symmetrischen Lage angebracht. Die Wand wurde in verschiedenen Abständen vom Rohrbündel verschoben. Die Untersuchungen wurden im Luft- und Wasserstrom durchgeführt. Die asymmetrische Umströmung der einzelnen Rohrreihe führte mit zunehmendem Abstand zu einer Steigerung der Wärmeübertragung und der Auftriebskräfte. Die Wand verursachte Schwankungen in der Wärmeübertragung und bei der Umströmung der Rohrbündel.
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Abbreviations
- a :
-
thermal diffusivity, m2/s
- c p :
-
specific heat capacity, J/(kg×K)
- d :
-
diameter, m
- e :
-
relative displacement of tube in the single transverse row,y/(s 1−d)
- \(\bar e\) :
-
relative shell-bundle gap,h/(s 1−d)
- U 0 :
-
free stream velocity, m/s
- ū :
-
flow velocity in the minimum free space in the bundleU 0(s 1/d)/[(s 1/d)−1], m/s
- p :
-
pressure, Pa
- \(\bar p\) :
-
pressure coefficient, 1−(p ϕ=0−p ϕ)/0.5ϱ ū 2
- s 1,s 2 :
-
transverse and longitudinal spacings between tubes in a bundle, respectively, m
- α :
-
heat transfer coefficient, W/(m2·K)
- λ :
-
heat conduction coefficient, W/(m·K)
- ν :
-
kinematic viscosity, m2/s
- ϱ :
-
fluid density, kg/m3
- Nu :
-
Nusselt number,α d/λ
- Pr :
-
Prandtl number,ν/a
- Re :
-
Reynolds number,ū d/ν
- Sh :
-
Strouhal number,f d/ū
- K :
-
complex factor,Nu f Re −0.5 Pr −0.36 f (Pr f/Pr w)−0.25
- K + :
-
complex factor,Nu Re −m Pr −0.36 f (Pr f/Pr w)−0.25
- f, o :
-
free stream variables
- w :
-
at the wall
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Dedicated Prof. Dr.-Ing. U. Grigull's 80th birthday
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Žukauskas, A., Katinas, V. Heat transfer in asymmetric transverse flows over bundles of tubes. Wärme- und Stoffübertragung 27, 259–263 (1992). https://doi.org/10.1007/BF01589924
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DOI: https://doi.org/10.1007/BF01589924