Low Reynolds Number Shear Flow along an Elliptic Hole in a Wall
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概要
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The influence of an elliptic hole (of semi-axes a. and a., t=a./a.<I) on theshear flow along a thin solid plane wall is investigated on the basis of the Stokesequation. Exact solution is obtained in terms of ellipsoidal coordinates. If theflow is parallel to the major (or minor) axis, a radial incoming flow inducedupstream along -Ln/4 direction to the wall moves almost parallel to the axis inthe neiuhbourhood of the hole and is reflected into a radial outgoing flow. Thetotal flux of this flow is found to be ?ct.k't'ai/c, where c=Z'A-l-(l -2t')E (or (2t')E -t'K), K and E being the complete elliptic integrals with the modulus k(l . 72)1/2.
- 1983-03-15
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