Heat Transfer With Very High Free-Stream Turbulence: Part II—Analysis of Results

Correlations describing the effect of free-stream turbulence on heat transfer have been offered by Simonich and Bradshaw (1978), Pedisius et al. (1983), and Blair (1983a), but they fail to describe the present data. The present data can be represented by a function of St, St/St₀, Re_Δ2Tu, and Λ/Δ₂ within ±20 percent, but equally well by a simple correlation relating the rms fluctuating velocity in the free stream, u′, to the heat transfer coefficient, h. A new Stanton number, St′, based on u′_max, the maximum standard deviation in the streamwise component of velocity found in the wall affected region, collects the data of Blair (1983b), Pedisius et al. (1983), Vogel (1984), MacArthur (1986), and Hollingsworth et al. (1989), as well as the data from the present experiment, all within ± 15 percent. The fact that h can be expressed as a function of local u′ alone suggests the possibility of geometry-independent correlations for turbulent heat transfer.