Fluids:
Density = mass per unit volume (m/v)
Pressure = P = (F┴) Force per unit area(on a surface)
( A )
Pressure of point in a fluid due to depth is called the Hydrostatic pressure(fluid not in motion).
(Pl = ρgh).
Any pressure on the surface of a fluid is distrubuted throughout all parts of the fluid. P at the bottom of a fluid container = Patm + Pl.
Archimedes principle = The difference in Pl between the surface and bottom of a submerged object causes the buoyancy force. If the Fbuoyant < Objectweight then the object will rise. If Fbuoyant > Objectweight then the object will sink.
Fbuoyant = Displaced Fluidweight.
Fluid classifiers -
compressible, non-compressible
viscous, non-viscous
turbulent, laminar flow
*Continuity equation: (mass flow rate = ρ1A1V1 = ρ2A2V2)
For an incompressible liquid, ρ is constant and the continuity equation =
(mass flow rate = A1V1 = A2V2)
Bernoulli's theorem - basically, conservation of energy applied to fluids.
1/2 pv ^2 = KE,
ρgy = PE,
P = work(to move a unit of fluid a distance, x)
UNITS
Density = ρ = M/
V
Pressure = F┴/
A
Volume flow rate = J = ΔV = A v/
Δt
Stress = σ
Strain = ε
Force constant(or spring constant) = k
Period = T
Frequency = ƒ = 1/
T
Amplitude = A
Angular Velocity = ω = 2πƒ
Wavelength = λ
Wave number = k = 2π/
λ
Intensity = E/A t = Pav/A
Intensity level = β
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