Abstract
We study the unsteady motion of a sphere immersed in a Stokes fluid and subject to an elastic force. The equations of motion for the sphere lead to an integro-differential equation, whose solution we study asymptotically. We prove that the position of the sphere reaches its equilibrium point with a power-law, t-γ, with γ = 1/2, 3/2, depending on the initial conditions. This behavior is due to the memory effect of the surrounding fluid.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Mathematical Models and Methods in Applied Sciences
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.
