Fluid and celestial mechanics
 Created by: Acacia Sheppard
 Created on: 141214 20:24
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 Physics 110  fluid and celestial mechanics
 Celestial mechanics
 Kepler's Laws
 1. All planets move in elliptical orbits with the sun at one focus
 Speed changes, both tangential and radial velocity change
 2. A planet sweeps out equal areas in equal amounts of time
 Planets move faster close to the sun
 3. The square of the orbital period is proportional to the cube of the semi major axis
 The smaller the velocity, the larger the orbit
 1. All planets move in elliptical orbits with the sun at one focus
 Newtons AHA moment: Everything in the universe follows a set of rules.
 F =?Gm1m2 /r^2
 Simplifies when on earth to F=mg
 Universal gravitation
 Pulls any two masses together

F =?Gm1m /r^2
 Only works for objects that can be treated as point masses

F =?Gm1m /r^2
 Pulls any two masses together
 Gravitational Potential energy

U = ? Gm1m2 /r
 ugh near earth
 Conservation of energy escape speed.
 NOT mass dependent
 To get a higher orbit a spec craft must lose energy
 Gravitational slingshots!

U = ? Gm1m2 /r
 Kepler's Laws
 Fluids
 Fluid something that flows
 Viscosity
 Density
 Pressure
 Force per unit area
 Non uniform, greater at the bottom than the top due to extra weight
 Can use gravity to drive fluid flow
 Hydrostatics
 Hydrostatic equilibrium
 Pressure is constant throughout a system
 Pascal: An increase in pressure is felt throughout the system
 Hydraulic press fluid equivalent to lever
 Mechanical advantage
 Hydrostatic equilibrium
 Can be Newtonian or non Newtonian. Non Newtonian is 'rheology, study of flow of matter.
 Two regimes due to drag:
 Ideal fluids, viscosity not importan
 High Re, inertia dominates, NS eq not time reversible, turbulent flow
 Viscous fluids
 Low Re, thick, small speed, small length scale, NS eq time reversible, laminar flow regime.
 Archimedes principle buoyant force
 Ideal fluids, viscosity not importan
 Flow
 Conservation mass continuity equation.
 Bernoulli (high Re)
 Low speed high pressure
 High speed low pressure
 Poiseuille flow low Re
 Fluid something that flows
 Celestial mechanics
 F =?Gm1m2 /r^2
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