Tank-0 and Tank-1 are connected with a horizontal pipe, as shown in the figure. Derive the free oscillating period T of
Posted: Sun May 15, 2022 9:39 pm
Tank-0 and Tank-1 are connected with a horizontal pipe, as shown
in the figure. Derive the free oscillating period T of the water
surface of this system. Gravitational acceleration is g; fluid
density is ρ and neglect the effect of friction and other
dissipative effects. The diameters of the Tank-0, Tank-1, and the
pipe are A0, A1, and Ap, respectively. Derive the free oscillating
period T of the free surface. (Hint) η is the surface deviation
from water level at rest. Pressure distribution is hydrostatic.
What is the pressure gradient at the center of bottom? What is the
relationship between v and temporal change rate of η?
A0 A n Fluid surface level at rest H Tank-0 Tank-1 diameter: Ap р L
in the figure. Derive the free oscillating period T of the water
surface of this system. Gravitational acceleration is g; fluid
density is ρ and neglect the effect of friction and other
dissipative effects. The diameters of the Tank-0, Tank-1, and the
pipe are A0, A1, and Ap, respectively. Derive the free oscillating
period T of the free surface. (Hint) η is the surface deviation
from water level at rest. Pressure distribution is hydrostatic.
What is the pressure gradient at the center of bottom? What is the
relationship between v and temporal change rate of η?
A0 A n Fluid surface level at rest H Tank-0 Tank-1 diameter: Ap р L