A CONSIDERATION ON THE EFFECTS OF DRAG FORCE ACTING ON ROUGHNESS ELEMENT

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Other Title
  • 粗度要素に作用する抗力が都市境界層気流場に及ぼす影響の一考察
  • 粗度要素に作用する抗力が都市境界層気流場に及ぼす影響の一考察 : 積分方程式の導出に基づく抗力係数と散逸率の関係について
  • ソド ヨウソ ニ サヨウ スル コウリョク ガ トシ キョウカイソウ キリュウジョウ ニ オヨボス エイキョウ ノ イチ コウサツ : セキブン ホウテイシキ ノ ドウシュツ ニ モトズク コウリョク ケイスウ ト サンイツリツ ノ カンケイ ニ ツイテ
  • -The relationship between drag coefficient and dissipation rate-
  • －積分方程式の導出に基づく抗力係数と散逸率の関係について－

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Abstract

Momentum and energy budgets on an urban surface are investigated based on theoretical approach by deriving the budget equations. Firstly, we have introduced the integral equation for energy, which corresponds to the equation as known as Karman's integral law for momentum. These equations can explain the effect of drag force acting on roughness elements on the budgets of momentum and energy. Secondly, it is shown that the additional term appears to explain for the drag force to be able to directly absorb momentum provided out of boundary layer. Although the corresponding term does not exist in the energy budget equations, the drag force may work to increase the turbulence energy through the additional turbulence production terms. Thirdly, the relationship between drag coefficient and dissipation rate have been discussed. These quantities have positive correlation and can be an index to explain the wind velocity deficit.

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