Assuming the force due to the local pressure gradient existing in a turbulent fluid, the floating conditions of particles in the turbulent fluid overwhelming the influence of gravity are theoretically considered. Taking into account the similarity hypotheses of fine structure of turbulence the relations between the scale of particles and the experienced force due to local pressure gradient are obtained. The floating conditions are given separately for two cases, in which the scale of particles is either smaller or larger than the length of the smallest turbulon in the turbulent fluid.

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Expressing the particular solution of ΔΔω=f, 1/8π∫∫ρ2lnρdσ, approximately by ω=ΣX, Yf(X, Y)W(X-x, Y-y), we calculated the numerical values of W(X-x, Y-y). As to the partial derivatives of ω(x, y) up to second order, we carried out similar calculations.

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Normal gross weight G, weight of fuel and oil G_f+0 and necessary horsepower N_z or thrust T_z can readily be calculated by equations (4), (5), (6) or (10), (11), (12) respectively for propeller planes or jet planes, as the function of payload A, design load factor sn_A, range R and maximum velocity V_z at attitude z. The values of statistical constants a_i, b_i and numerical example are shown in appendices.

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