Abstract
The transverse-curvature effect on the heat transfer in the turbulent natural convection flow from the outer surface of a slender vertical circular cylinder is studied by an improved integral method for various values of Prandtl numbers and for various values of a transverse curvature parameter.
Zusammenfassung
Der Einfluß der Querkrümmung auf die Wärmeübertragung von der Außenoberfläche eines dünnen senkrechten Kreiszylinders in die turbulente, natürliche Konvektionsströmung wird mittels eines verbesserten Integral-Verfahrens für verschiedene Werte der Prandtl-Zahlen und der Querkrümmungsparameter untersucht.
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Abbreviations
- cp :
-
heat capacity, kcal/kg°C
- g:
-
gravitational acceleration
- L,m,n:
-
constants
- q:
-
heat flux, kcal/m2 h
- r0 :
-
radius of cylinder
- T:
-
temperature, °C
- u:
-
velocity in x-direction, m/h
- uβ :
-
velocity head due to buoyancy, m/h\(u_\beta ^2 = \int {g\beta } (t - t_\infty )dx\)
- v:
-
velocity in y-direction, m/h
- x:
-
flow direction, m
- y:
-
normal direction to flow, m
- r:
-
r0-y
- v* :
-
friction velocity,\(\sqrt {\tau _w /\rho } \)
- u+ :
-
dimensionless velocity, u=u/v*
- T+ :
-
dimensionless temperature,
- x+ :
-
dimensionless coordinate, x+=xv*/ν
- y+ :
-
dimensionless coordinate, y+=yv*/ν
- Rex :
-
local Reynolds number, Rex=ux/ν
- Nux :
-
local Nusselt number, Nux=hx/k
- Prx :
-
Prandtl number, μCp/k
- Grx :
-
Grashof number, Grx=gβ x3(Tw-Tc∞/ν2
- Rax :
-
Rayleigh number, Rax=Grx Pr
- β:
-
body expansion coefficient, l/°C
- δ:
-
boundary-layer thickness, m
- ɛ:
-
eddy diffusivity, m2 /h
- θ:
-
dimensionless temperature
- ν:
-
kinematic viscosity, m2 /h
- ρ:
-
density, kg/m3
- τ:
-
shear stress, N/m2
- δ+ :
-
dimensionless boundary-layer thickness
- w:
-
wall condition
- ∞:
-
condition far from the wall
References
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Na, T.Y., Chiou, J.P. Turbulent natural convection over a slender circular cylinder. Wärme- und Stoffübertragung 14, 157–164 (1980). https://doi.org/10.1007/BF01637697
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DOI: https://doi.org/10.1007/BF01637697