Interferometric investigations of convection around cylinders at small Grashof numbers

Luca Crescentini; Giorgio Fiocco

doi:10.1364/AO.29.001490

Applied Optics
Vol. 29,
Issue 10,
pp. 1490-1495
(1990)
•https://doi.org/10.1364/AO.29.001490

Interferometric investigations of convection around cylinders at small Grashof numbers

Luca Crescentini and Giorgio Fiocco

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Luca Crescentini and Giorgio Fiocco, "Interferometric investigations of convection around cylinders at small Grashof numbers," Appl. Opt. 29, 1490-1495 (1990)

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Abstract

Experiments with a Twyman-Green interferometer have been carried out to determine the temperature distribution around a horizontal cylinder in the presence of natural convection for Grashof numbers around 10⁻⁴ and a Prandtl number of 0.7, a region of parameters poorly covered by previous investigations. Temperature differences are recovered by digital analysis of the fringe pattern perturbation. The results indicate significant discrepancies in the temperature profile, when compared with numerical models.

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Set no.	Correlation	Gr (10⁻⁴)	Nu	(T_O − T_∞) (°C)	D_exp (10⁻⁶)	D_1,exp (10⁻⁷)	D_NO (10⁻⁶)	σ (10⁻³)
1	NO	2.7 ± 0.1	0.236 ± 0.0005	0.67 ± 0.02	9 ± 1	−1.9 ± 0.4	1.0 ± 0.05	6
	TSN	2.4 ± 0.1	0.262 ± 0.0005	0.61 ± 0.02	10 ± 1	−2.1 ± 0.4	1.1 ± 0.05	6
	d.t.	2.5 ± 0.1	0.254 ± 0.0005	0.63 ± 0.02	10 ± 1	−2.1 ± 0.4	1.1 ± 0.05	6
2	NO	3.5 ± 0.1	0.242 ± 0.0005	0.88 ± 0.03	11 ± 1	−2.1 ± 0.4	1.4 ± 0.05	5
	TSN	3.2 ± 0.1	0.266 ± 0.0005	0.80 ± 0.03	12 ± 1	−2.4 ± 0.4	1.5 ± 0.05	5
	d.t.	3.1 ± 0.1	0.272 ± 0.0005	0.78 ± 0.03	12 ± 1	−2.4 ± 0.4	1.6 ± 0.05	5
3	NO	4.1 ± 0.2	0.245 ± 0.001	1.03 ± 0.05	10 ± 2	−2.0 ± 0.4	1.7 ± 0.1	5
	TSN	3.8 ± 0.2	0.269 ± 0.001	0.94 ± 0.05	11 ± 2	−2.3 ± 0.4	1.9 ± 0.1	5
	d.t.	3.6 ± 0.2	0.285 ± 0.001	0.89 ± 0.05	12 ± 2	−2.4 ± 0.4	2.0 ± 0.1	5
4	NO	5.3 ± 0.3	0.251 ± 0.001	1.33 ± 0.07	8.8 ± 0.4	−1.6 ± 0.2	2.3 ± 0.1	4
	TSN	4.9 ± 0.3	0.274 ± 0.001	1.21 ± 0.07	9.6 ± 0.4	−1.7 ± 0.2	2.5 ± 0.1	4
	d.t.	4.9 ± 0.3	0.271 ± 0.001	1.23 ± 0.07	9.5 ± 0.4	−1.7 ± 0.2	2.5 ± 0.1	4
5	NO	6.1 ± 0.4	0.254 ± 0.002	1.5 ± 0.1	9.1 ± 0.4	−1.7 ± 0.2	2.7 ± 0.2	7
	TSN	5.6 ± 0.4	0.277 ± 0.002	1.4 ± 0.1	9.9 ± 0.4	−1.9 ± 0.2	2.9 ± 0.2	7
	d.t.	5.7 ± 0.4	0.269 ± 0.002	1.4 ± 0.1	9.6 ± 0.4	−1.8 ± 0.2	2.8 ± 0.2	7

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Applied Optics