An Empirical Formula for the Thickness of the Turbulent Boundary Layer over Rough Surface : Wind Tunnel Experiment

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  • Empirical Formula for the Thickness of

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The results obtained are summarized as follows: when d, h, Δd and U_∞ are given, 1) z_0 is estimated from Equation (15) for x in the region of 36.1cm≦x≦x_0 2) z_0 is estimated from Equation (14) for x in the region of x_0≦x≦x' 3) z_0 is equal to z_<0∞> from Equation (8) for x in the region of x'≦x therefore, from Equation (7), that is, [numerical formula] the value of δ at a downstream distance x may be estimated. In the present experiment, Δd was given as follows: Δd=5cm, that is, d/Δd=1, 2, 3 and x_0, x' were obtained as follows: x_0=97.5cm x'=216.5cm Further, [numerical formula] for x in the region of 216.5cm≦x and δ(x) is proportional to x^<3/4>. This work was partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education.

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