Abstract
Experimental results are presented for the Stokes velocity of a circular cylinder of radius a and length L moving axially through a viscous fluid contained within a coaxial closed cylindrical tube of radius b and length H. The results cover the intermediate range 0.21 ≤a/b≤0.70 and are found to be consistent with theoretical results for the narrow gap case (a≂b) and with previous experimental results for the wide gap case (a≪b). The fractional difference between the observed drag and the theoretical drag is represented well by 1.67x−0.017, where x=(b−a)(a/b)1/2/L. The negative term is interpreted as representing an effective cylinder length of 0.983L, and the 1.67x term is interpreted qualitatively as a measure of the degree to which the fluid is displaced radially by the falling cylinder. The limitations of our expression for end effects are explored experimentally. Additional experimental results are presented for two cases in which the ends of the cylindrical tube are not closed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.