上壁のある円形衝突噴流により浮上する円盤に働く揚力:第1報, 臨界流量

概要

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A circular jet from a nozzle set up center of the upper side disk is impinging on the lower side disk placed on a support. For the flow rate above some critical value, the lower side disk can be levitated according to Bernoulli's Principle. The dominating factors on the critical flow rate are the diameter and mass of the disk, d and m, and the space, s, the density and kinematic viscosity of fluid, p and ν, and the acceleration of gravity g. From the vector dimensional analysis, this phenomena is described by four dimensionless quantities: Q_c=q_c/dν, M=m/pd^3, S=s^3g/ν^2 and D=d^3g/ν^2. The critical flow rate is given by Q_c=CM^<0.35>S^<0.07>where C=100 for d=40 to 75mm and C=90 for d=20 to 30mm, and the both errors are within ±4%. And the falling critical flow rate is given by Q_<cf>=33 M^<0.208> D^<0.09>and the error is within ±4%.
一般社団法人日本機械学会の論文
2000-02-25