Translatory accelerating motion of a circular disk in a viscous fluid

✍ Scribed by Lai, R. Y. S.

• Publisher: Springer
• Year: 1973
• Tongue: English
• Weight: 364 KB
• Volume: 27
• Category: Article
• ISSN: 0003-6994
• DOI: 10.1007/bf00382506

✦ Synopsis

The exact solution of the equation of motion of a circular disk accelerated along its axis of symmetry due to an arbitrarily applied force in an otherwise still, incompressible, viscous fluid of infinite extent is obtained. The fluid resistance considered in this paper is the Stokes-flow drag which consists of the added mass effect, steady stare drag, and the effect of the history of the motion. The solutions for the velocity and displacement of the circular disk are presented in explicit forms for the cases of constant and impulsive forcing functions. The importance of the effect of the history of the motion is discussed.