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Calculation dT for 2D2 Nielsen case

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Old   September 20, 2021, 07:30
Question Calculation dT for 2D2 Nielsen case
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Eugene
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Nielsen reports an indoor temperature profile for a series of low Archimedes numbers Ar [1]. We want to obtain dT, which is the temperature difference between the inlet and the outlet. We can calculate dT using the relation

Ar = \frac{\beta*g*dT*h}{{u}^{2}}

where
Ar = 1.1E-6 [-]
\beta= 0.0036 [-]
g = 9.81 [m/s^2]
h = 0.168 [m]
u = 0.647 [m/s]

This results in a dT=7.8E-5 degC. This is a very small temperature difference and it is unlikely that the sensor measurements carried out by Nielsen were that precise. This leads me to believe that there is something wrong. Has anyone, perhaps, worked with this case before? Perhaps the Archimedes number is wronglly reported?

[1] https://vbn.aau.dk/ws/portalfiles/po...ONED_ROOMS.pdf

Last edited by eugenzilio; September 20, 2021 at 10:00. Reason: Miscalculated beta
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2d2, indoor, mixing ventilation, nielsen, validation


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