Calculation of the Pressure Gradient along a Pipe of Uniform Cross-section

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  • 一様な断面形をもつ管の層流摩擦抵抗の計算法
  • イチヨウ ナ ダンメンケイ オ モツ カン ノ ソウリュウ マサツ テイコウ ノ ケイサンホウ

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It is difficult to solve the differential equation determining the velocity distribution in a pipe of uniform cross-section, which has complicated boundaries. One of the methods of solution in such cases is to use the variational principle. When the quantity of flow is given, the functional which gives an approximate value of the pressure gradient along the axis greater than the true value is already known. The authors have got the functional which gives an approximate value smaller than the true value. Using these two values, it is .possib1e to determine the region in which the true value exists. As examples, the pipe of rectangular cross-section and the pipes of circular cross-section with one or two inside cores of circular cross-section are treated.

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