Mager, Artur (1953) Laminar boundary layer problems associated with flow through turbomachines. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-05122003-100849
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This analysis deals with three-dimensional boundary layer flows which are of particular interest in the design of turbomachinery. By assuming only small lateral pressure gradients and applying perturbation procedure to the steady, laminar boundary layer equations of motion a set of zeroth and first order equations is found. While the zeroth order equations are just the two-dimensional ones for flow over flat plate, the first order equations retain the characteristic Blasius similarity for a family of external flows expressible by [?] (where U* [and] W* are the perturbation velocities, x [and] z are the coordinates and A [and] B are arbitrary constants). For various types of such external flows (which may or may not be rotational) boundary layer velocity distributions were found by a numerical solution.
The investigation is divided into two parts, the first one dealing with boundary layer flows over plane surfaces and the second one considering such flows over surfaces with very sharply varying lateral curvature. In order to obtain solutions in the second part it was necessary to expand the appropriate equations in terms of the product of the local surface curvature and the boundary layer thickness. In addition, the effects of compressibility and rotation (of the surface) on the flows over a plane surface were quantitatively evaluated.
Comparison of the present results with the more exact solutions of other investigators in certain special cases, and with the visual studies of three-dimensional boundary layer flow in cascades, indicates a fair qualitative agreement.
|Item Type:||Thesis (Dissertation (Ph.D.))|
|Degree Grantor:||California Institute of Technology|
|Division:||Engineering and Applied Science|
|Thesis Availability:||Public (worldwide access)|
|Defense Date:||1 January 1953|
|Default Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Imported from ETD-db|
|Deposited On:||13 May 2003|
|Last Modified:||26 Dec 2012 02:41|
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