On the Similarity Conditions of the Three Dimensional Boundary Layer Equations over Bodies of Revolution
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In this paper similarity conditions of the three dimensional boundary layer flows over bodies of revolution are examined and very general forms of the distributions of the main stream velocity, the radius of the body and the scale factor are found. First, when the fluid at infinity is axially symmetric and the body is rotating about its own axis, the distribution of the outer velocity and others which fulfill the similarity conditions are found to be of the power or the exponential forms. Secondly, when the body is at rest and the main stream has both the meridional and the circumferential velocity components, the general solutions are found to be entirely different from those of the rotating body and are not restricted to the power and the exponential forms. Moreover, it is found that several different flow patterns correspond to one set of similarity constants.
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関連論文
- The Axi-symmetric Laminar Flow in an Arbitrarily Shaped Narrow Gap : 1st Report, Theoretical Analysis for the Inlet Region
- On the Similarity Conditions of the Three Dimensional Boundary Layer Equations over Bodies of Revolution
- The Axi-Symmetric Laminar Flow in an Arbitrarily Shaped Narrow Gap : (2nd Report, Theoretical Analysis for the Downstream Region)