The Axi-Symmetric Laminar Flow in an Arbitrarily Shaped Narrow Gap : (2nd Report, Theoretical Analysis for the Downstream Region)

スポンサーリンク

概要

• 論文の詳細を見る

• This study is generally concerned with the laminar, meridional flow in an arbitrarily shaped narrow gap between two axi-symmetrically formed walls. In this paper, a momentumintegral method is used to obtain the solutions for the downstream region where the exact series solutions obtained in the first report are no longer valid. Together with the usual Pohlhausen's parameter ∧=δ^2/νdU/(dx), a new shape factor Γ=h^2/U(∂^2u/(∂y^2))_<y=k> is introduced, which results in smooth changes of the hydrodynamical quantities from the inlet region to the filled region, and a rigorous theoretical expression of the pressure distribution containing both the inertia and the viscous effects of the fluid flow. As an example, detailed numerical calculations have been made for the radial outward flow between two parallel discs. The important conclusions are : the breadth of the separation region changes largely with the Reynolds number, and separation does not occur when the Reynolds number is less than a critical value R_<cr>≅100 : in the downstream region where X={1+x/(r_0)}^22R≅0.5,the influence of the flow condition close to the entrance disappears practically.

• 一般社団法人日本機械学会の論文

著者

• Ishizawa Shingo

  Central Research Laboratory Hitachi Ltd.

関連論文

• The Axi-symmetric Laminar Flow in an Arbitrarily Shaped Narrow Gap : 1st Report, Theoretical Analysis for the Inlet Region
• On the Similarity Conditions of the Three Dimensional Boundary Layer Equations over Bodies of Revolution
• The Axi-Symmetric Laminar Flow in an Arbitrarily Shaped Narrow Gap : (2nd Report, Theoretical Analysis for the Downstream Region)

スポンサーリンク