Open Access
Hydrodynamics of screw propellers based on a new lifting surface theory
Kazuo Sugai
- Vol. 4, pp 96-106
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TLDR
In this article, a two dimensional integral equation for determination of the circulation on the blade is presented, and the results are compared with the results from conventional theories. And the application of this theory to the marine propeller is discussed.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.read more
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A Systematic Kernel Function Procedure for Determining Aerodynamic Forces on Oscillating or Steady Finite Wings at Subsonic Speeds
TL;DR: In this paper, a numerical solution of the integral equation which relates oscillatory or steady lift and downwash distributions in subsonic flow is presented, and results of several applications are presented.
On the Kernel Function of the Integral Equation Relating the Lift and Downwash Distributions of Oscillating Finite Wings in Subsonic Flow
TL;DR: In this article, the Kernel function of an integral equation that relates a known prescribed downwash distribution to an unknown lift distribution for a harmonically oscillating finite wing in compressible subsonic flow is reduced to a form that can be accurately evaluated by separating the kernel function into two parts: a part in which singularities are isolated and analytically expressed and a nonsingular part which may be tabulated.
Journal ArticleDOI
New directions in lifting surface theory
TL;DR: In this paper, the area element size kernel function of subsonic integral equation reference length is used to measure the relative area element dimension of a planar lifting surface, and the dimension of the projected cylindrical lifting surface area is measured in semispans.