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- W3018330147 abstract "This study presents direct numerical simulations of natural convection for air (Pr = 0.709) in a vertical channel driven by differentially heated walls at Rayleigh numbers (Ra) up to 2.0 ×107. The present data is validated with that from Versteegh and Nieuwstadt [9] for Ra = 5.0 × 106. Using the present data for higher Ra, we appraise and compare the various proposed scaling laws for the mean temperature defect, Th-T¯, and the streamwise velocity, u¯, by Versteegh and Nieuwstadt [9], Holling and Herwig [2] and Shiri and George [6] (cf. George and Capp [1]). For the mean temperature profile, the present data supports the inner temperature scaling, Ti = [| fw|3/(gβα)]1/4, proposed by all the three studies, where fw is the heat flux at the wall, g is the gravitational acceleration, β is the thermal expansion coefficient and a is the heat diffusion coefficient. Using compensated temperature gradients, constants are found for the wall function for mean temperature, which takes the form of a power-law: Th -T¯ / Ti = -3.6 (z / li )-1/3 +4.5, where z is the distance in the wall-normal direction and li is the inner length scale, defined by [α3/(gβ| fw|)]1/4. For the mean velocity profile, we found that the inner velocity scale ui = (gβ| fw|h)1/3, proposed by Shiri and George [6], collapses the velocity profiles in the near-wall region. Here, we define h as the channel half-width." @default.
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- W3018330147 date "2012-01-01" @default.
- W3018330147 modified "2023-10-18" @default.
- W3018330147 title "Direct numerical simulation of natural convection in a vertical channel" @default.
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