Hydrostatics and Hydrodynamics Flashcards
Fluid Mechanics
The study of the physics of the continuous materials which take the shape of their container
density
p = m/v
archimedes principle
when a body is partially or completely immersed in a fluid, the fluid exerts an upward force on the body equal to the weight of the fluid displaced by the body
pressure in fluid
p = force/unit area
pressure and depth
weight of fluid not negligible, consider element of area, A, thickness, dy. At rest the forces are blanked
dp/dy = -pg
pressures at 2 vertical locations
p = po + pgh
pascal’s law
pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and to walls of the containing vessel
hydraulic lift
F2 = F1 (A2/A1)
and work done
F2h2 = F1h1
Oil and water
p = po + pwater ghwater
p = po + poil*hoil
hoil = pwater/poil hwater
viscosity
a measure of the internal friction of a fluid. Has important consequences for flow of the fluid and things like lubrication
viscosity is strongly dependant on
temperature
Δp ∝
L/R^4
buoyancy
an object partially or wholly immersed in a liquid seems to weigh less than it does in air
sink
if m object > m fluid
then p object > p fluid
float
if m object < m fluid
then p object < p fluid
