Abstract
An experimental study involving holographic interferometry has been made of the natural convection from a horizontal cylinder in air, and for an extensive range of surface temperatures covering a range of values Gr.Pr between 3600 and 5600. A number of semiempirical equations were obtained that satisfactorily reproduce the adimensional field of temperatures around the cylinder. Moreover, the functions that provide the local and average Nusselt number values in terms of the corresponding Grashof and Prandtl numbers have also been obtained. Their close correspondence with the contrasted empirical formulas shows that the method employed may be used to obtain variation equations of both temperature and Nusselt magnitudes that involve angular position and are fully compatible with the mean values used in practice.
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Abbreviations
- D :
-
cylinder diameter
- Gr:
-
Grashof number based on the cylinder diameter
- h :
-
heat transfer coefficient
- K f :
-
thermal conductivity at (T s+T 221E;)/2
- L :
-
cylinder length
- Nu,\(\overline {Nu}\) :
-
local and average Nusselt numbers, equations (12) and (18)
- n 221E; :
-
air refraction index at infinity
- Pr:
-
Prandtl number,C p μ/K f
- R :
-
cylinder radius
- S :
-
order of interference
- ΔS :
-
order of interference correction
- T :
-
temperature (K)
- T s :
-
temperature of the cylinder (K)
- T 221E; :
-
temperature at infinity (K)
- x :
-
distance along the cylinder
- α :
-
angular coordinate
- σ m :
-
quadratic deviation of the arithmetical mean
- η :
-
dimensionless distance, equation (3)
- λ :
-
laser wavelength
- θ :
-
dimensionless temperature, equation (4)
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Diez, R., Dolz, M., Belda, R. et al. Free convection around a horizontal circular cylinder. Adimensional empirical equations. Appl. Sci. Res. 46, 365–378 (1989). https://doi.org/10.1007/BF01998552
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DOI: https://doi.org/10.1007/BF01998552