We have investigated the properties of the drag coefficient C(,D) of a sphere according to Oseen's linearization of the equations of viscous incompressible flow. We have treated C(,D) as a complex function of complex Reynolds number with an aim of determining its asymptotic behavior as R(--->)(INFIN). C(,D) has a doubly infinite array of simple poles in the left half complex R-plane, each of which lies close to one of the zeros of the spherical Bessel Function K(,m+1/2)(R), for some positive integer m. These zeros of K(,m+1/2)(R) are the poles of the heat transfer coefficient C(,H)(R) that arises from a simple problem studied by Illingworth (1963). Wu's (1956) analysis of a short-wave scattering problem shows that C(,H)(R) has, for large R, an asymptotic expansion in powers of R('-2/3). Numerical computations showed that the same form of expansion works well for C(,D)(R). However, the asymptotic behavior of C(,D)(R) is represented better still by including, in the expansion, an additional term that decays more slowly than R('-2/3). The coefficients of this(' )presumed expansion have been estimated by fitting values of C(,D)(R) in the interval 5 < R < 21. / The(' )small-Reynolds-number series for C(,D)(R) has also been extended to 66 terms in double precision. The validity and effectiveness of the techniques used by Van Dyke in extending and improving this series, which is known to be valid only within (VBAR)R(VBAR) = -1.04543, have been examined. / Source: Dissertation Abstracts International, Volume: 45-11, Section: B, page: 3528. / Thesis (Ph.D.)--The Florida State University, 1984.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_75459 |
| Contributors | LEE, SANG MYUNG., Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 146 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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