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Turbulent velocity profiles in a tilted heat pipe
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View: Figures


Image of FIG. 1.
FIG. 1.

Sketch of the experimental cell with the definition of coordinates.

Image of FIG. 2.
FIG. 2.

Map of the time averaged transverse Reynolds stress (in m2s−2). The inclination angle is ψ = 10°, and the applied heat power is 77 W ( ≃ 1 cm/s).

Image of FIG. 3.
FIG. 3.

Symmetrized velocity profiles normalized to their maximum. From the largest to the smallest middle slope: ψ = 5° (black), ψ = 10° (red), and ψ = 20° (blue). The applied heat power is 77 W ( ≃ 1 cm/s)

Image of FIG. 4.
FIG. 4.

Transverse Reynolds stresses, normalized to their maximum absolute value, for the same angles and the same applied power than in Figure 3 . We also show the quadratic fit , which allows to determine .

Image of FIG. 5.
FIG. 5.

Comparison between the measured temperature profile (circles) and the slope deduced from the measure of the transverse Reynolds stress, through Eq. (12) , where we neglect the term proportional to β. The applied power = 62.7 W and ψ = 20°.

Image of FIG. 6.
FIG. 6.

The turbulent Prandtl number for the three inclination angles ψ = 5° (circles), ψ = 10° (stars), and ψ = 20° (triangles). Open symbols are for the Soft Turbulence regime, and full symbols correspond to the Hard Turbulence one.

Image of FIG. 7.
FIG. 7.

The Richardson number within the Hard (full symbols) or Soft (open symbols) Turbulence regime, for ψ = 5° (circles), ψ = 10° (stars), and ψ = 20° (triangles) . The dashed line indicates = 1/ε′.

Image of FIG. 8.
FIG. 8.

Comparison of the theoretical profiles with the experimental ones. For determining the initial condition ′(0), we use Eq. (50) , with ε′ = 20 and = 74. The characteristic velocity . The mixing length ℓ = /2ξ and β and are the experimental ones. The curves are shifted by 0.01 m/s for clarity.

Image of FIG. 9.
FIG. 9.

Comparison of −σ (circles and black continuous line) and (∂ )2 (triangles and red dashed line), both with their maximum normalized to 1, in experiments (symbols) and theory (lines). The three groups are for ψ = 5° (upper curves, black symbols), ψ = 10° (middle curves, red symbols), and ψ = 20° (lower curves, blue symbols). The groups are shifted by 0.4 for clarity.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Turbulent velocity profiles in a tilted heat pipe