Study on Miter-Bend Flow : Part 5-Computation of Dynamic Characteristics

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Other Title
  • 屈折管内の流れに関する研究 : 第5報-物理諸量の算定
  • 屈折管内の流れに関する研究-5-物理諸量の算定
  • クッセツカンナイ ノ ナガレ ニカンスルケンキュウ 5 ブツリ ショ リョウ

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Abstract

The following dynamic characteristics in laminar flow for a two-dimensional bending conduit have been determined computationally: the streamline, the vorticity contour, the Bernoullisum variation, the pressure field, the normal viscous stress variation, the shearing stress variation, the different terms of the work-energy relation, and so on. They are very significant in examining the physical aspects of the flow in the bending conduit and have been computed by the calculated results of an explicit discretized form of the Navier-Stokes equation 1). The computed results for the bending conduits of which the bending angles Θ's are 45°, 90° and 135° and the areal ratio λ is 1.0 and also of which Θ is 90° and λ's are 0.5 and 2.0 are shown at the Reynolds number Re_<1h> of 70, which is referring to the upstream section of the miter-bend. The obtained results can be summarized as follows: 1) The dynamic characteristics change complicatedly in the neighborhood of the convex and the concave corner, in spite of the values of Θ and λ. 2) When the flow separates at the convex corner or at the concave corner, the terms of the work energy equation in the eddy regions are, generally, smaller than those in the external flow. So, the eddies only add to the formation of the external flow. 3) In spite of the values of Θ and λ, the variations of the dynamic characteristics are scarcely altered in the upstream section of the conduit. But in the downstream section of the conduit, the larger the value of Θ becomes when λ remains constant and the larger the value of λ becomes when Θ remains constant, the more steeply they alter. 4) According to the dissipation of energy obtained by the computation, the energy loss caused by flow bending generally increases with the increase of the value of Θ when λ remains constant and with the increase of λ when Θ remains constant.

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