# Oscillatory flow around the edge of a flat plate

J.H.M. Disselhorst, L. van Wijngaarden

2 Citations (Scopus)

### Abstract

The paper deals with oscillatory flow of an incompressible viscous fluid around the edge of a flat plate. The primary interest is, in connexion with the flow in open pipes near the edge due to acoustic standing waves, in the dissipation associated with the flow around the edge. Mathematically, the problem to find the flow around the edge can be formulated as an integral equation for a dipole distribution along the plate. This can be simplified by making use of the fact that the Stokes boundary layer is thin with respect to the characteristic length scale of the flow. The simplified equation is solved by a method used recently by Boersma. With the help of this solution the dissipation is calculated. The result is compared with exact, numerical, calculation by Disselhorst. Good agreement is found.
Original language Undefined 271-287 Journal of engineering mathematics 13 3 https://doi.org/10.1007/BF00036675 Published - 1979

• IR-50371

### Cite this

Disselhorst, J.H.M. ; van Wijngaarden, L. / Oscillatory flow around the edge of a flat plate. In: Journal of engineering mathematics. 1979 ; Vol. 13, No. 3. pp. 271-287.
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abstract = "The paper deals with oscillatory flow of an incompressible viscous fluid around the edge of a flat plate. The primary interest is, in connexion with the flow in open pipes near the edge due to acoustic standing waves, in the dissipation associated with the flow around the edge. Mathematically, the problem to find the flow around the edge can be formulated as an integral equation for a dipole distribution along the plate. This can be simplified by making use of the fact that the Stokes boundary layer is thin with respect to the characteristic length scale of the flow. The simplified equation is solved by a method used recently by Boersma. With the help of this solution the dissipation is calculated. The result is compared with exact, numerical, calculation by Disselhorst. Good agreement is found.",
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Disselhorst, JHM & van Wijngaarden, L 1979, 'Oscillatory flow around the edge of a flat plate', Journal of engineering mathematics, vol. 13, no. 3, pp. 271-287. https://doi.org/10.1007/BF00036675

Oscillatory flow around the edge of a flat plate. / Disselhorst, J.H.M.; van Wijngaarden, L.

In: Journal of engineering mathematics, Vol. 13, No. 3, 1979, p. 271-287.

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AU - van Wijngaarden, L.

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N2 - The paper deals with oscillatory flow of an incompressible viscous fluid around the edge of a flat plate. The primary interest is, in connexion with the flow in open pipes near the edge due to acoustic standing waves, in the dissipation associated with the flow around the edge. Mathematically, the problem to find the flow around the edge can be formulated as an integral equation for a dipole distribution along the plate. This can be simplified by making use of the fact that the Stokes boundary layer is thin with respect to the characteristic length scale of the flow. The simplified equation is solved by a method used recently by Boersma. With the help of this solution the dissipation is calculated. The result is compared with exact, numerical, calculation by Disselhorst. Good agreement is found.

AB - The paper deals with oscillatory flow of an incompressible viscous fluid around the edge of a flat plate. The primary interest is, in connexion with the flow in open pipes near the edge due to acoustic standing waves, in the dissipation associated with the flow around the edge. Mathematically, the problem to find the flow around the edge can be formulated as an integral equation for a dipole distribution along the plate. This can be simplified by making use of the fact that the Stokes boundary layer is thin with respect to the characteristic length scale of the flow. The simplified equation is solved by a method used recently by Boersma. With the help of this solution the dissipation is calculated. The result is compared with exact, numerical, calculation by Disselhorst. Good agreement is found.

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