1970Selected papers from the journal of the Society of Naval Architects of JapanRequires access

HYDRODYNAMICS OF SCREW PROPELLERS BASED ON A NEW LIFTING SURFACE THEORY

Kazuo Sugai

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Abstract

Observation of the vortices from the tip of a wing with low aspect ratio has lead to a new lifting surface theory. This theory proposes that the bound vortices replacing the wing are not distributed over the projected surface onto the stream as in Prandtl's theory, but over the wing surface itself inclined to the stream, whereas the free vortices trail along the locus of the moving wing. The application of this theory to the marine propeller is discussed. A two dimensional integral equation for determination of the circulation on the blade is presented. Numerical solution is done by computer. Then the results are compared with the results from conventional theories.

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Observation of the vortices from the tip of a wing with low aspect ratio has lead to a new lifting surface theory. This theory proposes that the bound vortices replacing the wing are not distributed over the projected surface onto the stream as in Prandtl's theory, but over the wing surface itself inclined to the stream, whereas the free vortices trail along the locus of the moving wing. The application of this theory to the marine propeller is discussed. A two dimensional integral equation for determination of the circulation on the blade is presented. Numerical solution is done by computer. Then the results are compared with the results from conventional theories.

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Available abstract

Observation of the vortices from the tip of a wing with low aspect ratio has lead to a new lifting surface theory. This theory proposes that the bound vortices replacing the wing are not distributed over the projected surface onto the stream as in Prandtl's theory, but over the wing surface itself inclined to the stream, whereas the free vortices trail along the locus of the moving wing. The application of this theory to the marine propeller is discussed. A two dimensional integral equation for determination of the circulation on the blade is presented. Numerical solution is done by computer. Then the results are compared with the results from conventional theories.

Key concepts: Vortex, Wing, Propeller, Surface (topology), Prandtl number, Wingtip vortices, Mechanics, Mathematics

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