Experimental verification of an Oseen flow slender body theory

Chadwick, EA; Khan, HM; Moatamedi, M; Mappin, MH; Penney, MA

Abstract

Consider uniform flow past four slender bodies with elliptical cross-section of
constant ellipticity along the length of 0, 0.125, 0.25 and 0.375, respectively, for each
body. Here, ellipticity is defined as the ratio of the semiminor axis of the ellipse to
the semimajor axis. The bodies have a pointed nose which gradually increases in
cross-section with a radius of curvature 419mm to a mid-section which then remains
constant up to a blunt end section with semimajor axis diameter 160 mm, the total
length of all bodies being 800 mm. The bodies are side-mounted within a low-speed
wind tunnel with an operational wind speed of the order 30ms−1. The side force (or
lift) is measured within an angle of attack range of −3◦ to 3◦ such that the body is
rotated about the major axis of the ellipse cross-section. The lift slope is determined
for each body, and how it varies with ellipticity. It is found that this variance follows
a straight line which steadily increases with increasing ellipticity. It is shown that
this result is predicted by a recently developed Oseen flow slender body theory, and
cannot be predicted by either inviscid flow slender body theory or viscous crossflow
theories based upon the Allen and Perkins method.

Citation

Chadwick, E., Khan, H., Moatamedi, M., Mappin, M., & Penney, M. (2010). Experimental verification of an Oseen flow slender body theory. Journal of Fluid Mechanics, 654, 271-279. https://doi.org/10.1017/S0022112010001333

• Journal Article Type: Article
• Publication Date: Jan 1, 2010
• Deposit Date: Apr 18, 2012
• Publicly Available Date: Apr 5, 2016
• Journal: Journal of Fluid Mechanics
• Print ISSN: 0022-1120
• Publisher: Cambridge University Press (CUP)
• Peer Reviewed: Peer Reviewed
• Volume: 654
• Pages: 271-279
• DOI: https://doi.org/10.1017/S0022112010001333
• Publisher URL: http://dx.doi.org/10.1017/S0022112010001333