Study on Miter-Bend Flow : Part 4-Flow at Low Reynolds Number

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Other Title
  • 屈折管内の流れに関する研究 : 第4報-低レイノルズ数における流れ
  • 屈折管内の流れに関する研究-4-低レイノルズ数における流れ
  • クッセツカンナイ ノ ナガレ ニカンスルケンキュウ 4 テイ レイノルズスウ

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Abstract

The flow in a miter bend is very complicated. The authors have reported the experimental and theoretical results of the flow in miter bends with different bending angles and areal ratios in turbulent flow, and in laminar flow adjacent to the critical Reynolds number. In this report the results for the flow in miter bends at the Reynolds number much lower than the critical one are reported. First, for the consideration of general features of the flow, the Navier-Stokes equation describing the laminar flow field in the plane miter bend was solved numerically by means of a finite difference relaxation method. The values of stream function, vorticity and velocity distribution are obtained. The results show that the flow changes extremely near the convex and the concave corner. Next, the experiments for the several miter bends with rectangular crosssection were made. The results show that the flows are almost two-dimensional in spite of bending angles and areal ratios when the Reynolds number is very low, but that they become three-dimensional with the increase of the Reynolds number. Finally, the computed results were compared with the experimental results. They coincide fairly well when the Reynolds numbers are sufficiently low and the actual flows are two-dimensional.

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