液滴の形状に及ぼす重力の影響(1)
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概要
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In the past, considerable discredit has been cast upon drop-size method because unwarranted assumptions were made in the developement of the mathematical equations to describe the form of the drop surface. In order that the drop-size method may be employed with confidence, the author introduced the formula to evaluate the form of the drop surface under the gravitational force, i. e., [numerical formula] Further the formula of the correction to compensate the deviation from the spherical form due to the action of the gravitational force was introduced as [numerical formula] where γ is the radius of the horizontal cross section of the drop at any arbitrary height, γ_0 the radius of the horizontal cross section of the drop at the base, R the radius of curvature at the zenith of the drop, ψ the angle between the horizontal plane and the tangent at any arbitrary point of the drop surface, θ_<ap> the apparent contact angle under the gravitational force, θ_<sph.> the contact angle of the drop in spherical form, and a the capillary constant. With these formulae it may be possible to calculate the critical size of the drop where the effect of gravitational force may be neglected. However, the above folmulae are only applicable in the region of θ<ap.>≤90°. For the region of θ<ap.>>90°, it is necessary to introduce other formulae. To give a few examples, the author calculated the values of (θ<ap.>-θ<sph.>) for various values of θ<sph.> from the formulae introduced above, assuming γ_0 to be constant, and plotted the values of (θ<ap>-θ<sph.>) against those of θ<sph> in the graph.
- 東北大学の論文
- 1952-09-10
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- 液滴の形状に及ぼす重力の影響(1)