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1953•Journal of the Physical Society of JapanRequires access

Discontinuous Flow past a Circular Cylinder

Mitutosi Kawaguti

Open publisher page 20 citations

Abstract

The discontinuous flow past a circular cylinder is studied making use of the theory of discontinuous flow and the boundary-layer theory. The determination of the separation points is carried out by means of an iterative method. It is found that the separation angle which is measured from a forward stagnation point, is approximately equal to 58°. This angle is very close to the smallest one 55° among the angles of separation which can be allowed from the discontinuous flow theory. Thus the flow with separation angles of 55° seems to be the limiting case of the viscous flow past a circular cylinder when the Reynolds number increases indefinitely.

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What this paper is about

The discontinuous flow past a circular cylinder is studied making use of the theory of discontinuous flow and the boundary-layer theory. The determination of the separation points is carried out by means of an iterative method. It is found that the separation angle which is measured from a forward stagnation point, is approximately equal to 58°. This angle is very close to the smallest one 55° among the angles of separation which can be allowed from the discontinuous flow theory. Thus the flow with separation angles of 55° seems to be the limiting case of the viscous flow past a circular cylinder when the Reynolds number increases indefinitely.

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Available abstract

The discontinuous flow past a circular cylinder is studied making use of the theory of discontinuous flow and the boundary-layer theory. The determination of the separation points is carried out by means of an iterative method. It is found that the separation angle which is measured from a forward stagnation point, is approximately equal to 58°. This angle is very close to the smallest one 55° among the angles of separation which can be allowed from the discontinuous flow theory. Thus the flow with separation angles of 55° seems to be the limiting case of the viscous flow past a circular cylinder when the Reynolds number increases indefinitely.

Key concepts: Potential flow around a circular cylinder, Cylinder, Stagnation point, Flow separation, Reynolds number, Flow (mathematics), Mechanics, Boundary layer

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