Mechanics: (matter/force(F*D=W)/energy)
Single “particle”:
Continuum (macroscopic): solid mechanics, stress and strain,
Statistical (microscopic): fluid mechanics
In between continuum and Statistical you get, viscoelastics and viscoplastics
𝐹𝑖𝑖
𝐴𝑖𝑖
Shear stress:
= τ, τ → ∞,
Fluid Mechanics:
Incompressible
𝐷𝑝
𝐷𝑡
Compressible
𝐷𝑝
𝐷𝑡
=0
≠0
Low speed
high speed
Relative to C
Ma=
Hydrodynamics
Gas Dynamics
𝑉(𝑥,𝑦,𝑧)
𝐶
Tank of the week:
Volume:
Diameter:
3meters
Velocity(speed): 4 m/s
Time:
5 seconds
If a faucet fills a tank with a diameter of 3 meters, and a velocity of 4m/s, for 5 seconds, what is
the volume in the tank?
2
Answer: use V=ℎ * π * 𝑟 to get volume of water discharged
Volume=
2
𝑝𝑖 *𝑑
4
* 𝑣𝑒𝑙𝑜𝑐𝑖𝑡𝑦 * 𝑡𝑖𝑚𝑒
Governing eq: mass conservation