An Enhanced Model for the Hydrodynamic Drag Force on a Steadily Translating Circular Cylinder
Keywords:
Drag force, Drag coefficient, Streamline, Stream function, Reynolds numberAbstract
A model for the hydrodynamic drag force on a steadily translating circular cylinder was studied for Reynolds number, Re << 1. Though the literature appears vast especially by method of rigorous asymptotic analysis, this work attempts to remove the mathematical complexity of asymptotic analysis by solving the Navier – Stokes equations directly to obtain the fluid velocity and then proceed to obtain the drag force and finally the drag coefficient which is a function of the Reynolds number. The result of this work is in complete agreement with the results in literature.
References
G. G. Stokes. “On the effect of the internal friction of fluids on the motion of pendulums.” Cambridge Philosophical Society, vol. 9, pp. 8-106, 1851.
R. A. Millikan. “The isolation of an ion, a precision instrument of its charge and the correction of Stokes' law.” Phys. Rev,, vol. 32, pp. 349-970, 1911.
R. A. Millikan. “On the elementary electrical charge and the Avogadro constant.” Phys. Rev., vol. 2, pp. 109-430, 1913.
H. Lamb. “On the uniform motion of a sphere through a viscous fluid.” Philosophical Magazine, vol. 21, pp. 112-121, 1911.
C. W. Oseen. “Ueber die Stokes'sche formel und ueber einer verwandte Aufgabe in der Hydrodynamik.” Ark. f. Mat. Astr. Och. Fys., vol. 6, pp. 1-20, 1910.
B. Mutlu Sumer, and Jorgen Fredsoe. Hydrodynamics Around Cylindrical Structures. World Scientific Co. Pte. Ltd.,Revised Edition, 2006.
I. Eames, and C. A. Klettner. “Stokes’ and Lamb’s viscous drag Laws.” European Journal of Physics, vol. 38, pp. 11, 2017.
G. K. Batchelor. An Introduction to Fluid Dynamics. Cambridge: Cambridge University Press, 1st edition, 1967.
G. K. Batchelor. “Slender-body theory for particles of arbitrary cross-section in Stokes flow.” Journal of Fluid Mechanics, vol. 44, pp. 419-440, 1970.
Downloads
Published
How to Cite
Issue
Section
License
Authors who submit papers with this journal agree to the following terms.