Low Reynolds Number Flow Past Finite Cylinders of Large Aspect Ratio

Citation

Shi, Yun-Yuan (1963) Low Reynolds Number Flow Past Finite Cylinders of Large Aspect Ratio. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JA8T-4N67. https://resolver.caltech.edu/CaltechETD:etd-10172005-152936

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. Low Reynolds number flow past finite cylinders of large aspect ratio is considered in this thesis. The first cylinder under consideration consists of a finite cylinder of constant radius [...] with two hemispherical caps attached to each end. The axis of the cylinder is perpendicular to uniform flow at infinity and the half length of the cylinder is L. Therefore, two Reynolds numbers can be formed in the present study, namely, Re=[...] and, [...] . The low Reynolds number flow is studied in the limit [...] for [...] fixed. This clearly shows that the body is of large aspect ratio. The other cylinder under consideration is an ellipsoid of revolution whose half-axis parallel to the flow is [...] and whose half-axis perpendicular to the flow is L. The same limiting case as that for the first finite cylinder is studied. Asymptotic expansions of the solution valid for the limiting case [...] are obtained by applying singular perturbation procedures with proper use of the idea of the intermediate solution. The nature of the end source variation and the order of magnitude of various effects are clarified in the present study. In addition, certain general remarks have been made about the difference between the end effects for "tapered" and "untapered" bodies. It is found that the "taper" at the ends plays an essential role.

Thesis Files