Abstract
While the disks having the same angular velocity are initially rotating about a common axis, the unsteady flow produced by their oscillations in their own planes and in the opposite directions is investigated. It is shown that the solutions for all times are obtained by means of the analytical solutions corresponding to small and large times. The dependence of the velocity field on the time, the kinematic viscosity of the fluid, the angular velocity and gap of the disk, the frequency and velocity amplitude of the oscillation is examined in terms of the appropriate dimensionless parameters. It is observed how the periodic motion of the fluid takes place when the time is large enough.
Keywords
Oscillation (cell signaling)
Angular velocity
Physics
Mechanics
Dimensionless quantity
Coaxial
Kinematics
Amplitude
Flow (mathematics)
Flow velocity
Classical mechanics
Vector field
Field (mathematics)
Optics
Mathematics
Subject Areas
Fluid Dynamics and Vibration Analysis
·Computational Mechanics ·Physical Sciences
Fluid dynamics and aerodynamics studies
·Computational Mechanics ·Physical Sciences
Geomagnetism and Paleomagnetism Studies
·Molecular Biology ·Life Sciences