1964Mathematical Proceedings of the Cambridge Philosophical SocietyRequires access

Elastico-viscous boundary-layer flows I. Two-dimensional flow near a stagnation point

D. W. Beard, K. Walters

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Abstract

Abstract The Prandtl boundary-layer theory is extended for an idealized elastico-viscous liquid. The boundary-layer equations are solved numerically for the case of two-dimensional flow near a stagnation point. It is shown that the main effect of elasticity is to increase the velocity in the boundary layer and also to increase the stress on the solid boundary.

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What this paper is about

Abstract The Prandtl boundary-layer theory is extended for an idealized elastico-viscous liquid. The boundary-layer equations are solved numerically for the case of two-dimensional flow near a stagnation point. It is shown that the main effect of elasticity is to increase the velocity in the boundary layer and also to increase the stress on the solid boundary.

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Available abstract

Abstract The Prandtl boundary-layer theory is extended for an idealized elastico-viscous liquid. The boundary-layer equations are solved numerically for the case of two-dimensional flow near a stagnation point. It is shown that the main effect of elasticity is to increase the velocity in the boundary layer and also to increase the stress on the solid boundary.

Key concepts: Boundary layer, Stagnation point, Prandtl number, Mechanics, Stagnation temperature, Blasius boundary layer, Boundary layer control, Boundary layer thickness

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