絞り部を有する二次元流路内の流れの数値解析 : 定常流の場合

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A physical model of the steady flow of a viscous and incompressible fluid through two dimensional duct with constriction was used to study the blood flow downstream from an artery stenosis. In this paper the flow through the double step shaped constriction has been analyzed by using Finite Difference Method for different Reynolds numbers, different constriction ratios, and different aspect ratios of constriction. Finite difference equations have been solved by using two methods, namely, FTCS (Forward-Time, Centered-Space) method and SOLA method. Velocity vector, strean line, and vorticity in the region downstream of the constriction have been computed. When the Reynolds number is less than 500,similar results are given by FTCS and SOLA methods. At the condition with constriction ratio (1-b/B) of 0.75 and aspect ratio of constriction (L/b) of 1.0,the increase of the Reynolds number from 10 to 200 results in a downstream dispacement of the reattachment point. On the contrary, when the Reynolds number is increased from 200 to 500,the reattachment point moves upstream. When the Reynolds number is increased to more than 400,the reattachment point begines to move repeatedly upstream and downstream with time. At the condition with aspect ratio of constriction (L/b) of 1.0 and Reynolds number of 300,the increase of the constriction ratio (1-b/B)from 0.4 to 0.6 results in a downstream displacement of the reattachment point. On the contrary, when the constriction ratio is increased from 0.6 to 0.75,the reattachment point moves upstream. At the condition with constriction ratio of 0.5 and Reynolds number of 200,the increase of the aspect ratio of constriction (L/b) from 0.25 to 0.5 results in a upstream displacement of the reattachment point. On the contrary, when the aspect ratio of constriction is increased more than 0.5,the reattachment point point moves downstream.
東海大学の論文

絞り部を有する二次元流路内の流れの数値解析 : 定常流の場合

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