FLUID STATICS AND DYNAMICS EQUATIONS

Fluid Statics

3

22

3

2

5

1 30.48 , 1 2.54

Pressure

43

1.013 10 1 760 Gage PressureAbs

object fluid

fluid object

m kgDensity units foot cm inch cmV mF NP units Pa V lwh Area of circle rA m

VN rPascal Pa Volume of Spherem V

Pa atm mmHg P Pa gh

= = =

= = = =

= = = =

= = = =olutePressure

Archimedes Principle f

P Pa ghB Vg WhereB boyant force

W weight of displaced fluiddensity of fluid

= + = =

==

Fluid Dynamics Equation of Continunity is for incompressible fluidAV AV Flow rate Q AV

Bernoullies EquationP V gh P V gh Similar to Conservation of Energy

KE PE KE PEi i f f

constant

1 1 2 2

112 1

21 2

12 2

22

= = =

+ + = + ++ = +

Gases Liquids Solids Air @ 0 Co 1.29 kg/m3 Water 1000 kg/m3 Ice 917 kg/m3 Air @ 20 Co 1.20 kg/m3 Sea Water 1025 kg/m3 Aluminum 2700 kg/m3 Oxygen 1.43 kg/m3 Blood @ 37 Co 1060 kg/m3 Iron 7860 kg/m3 Hydrogen 8.99 x 10-2 kg/m3 Glycerin 1260 kg/m3 Copper 8920 kg/m3 Helium 1.79 x 10-1 kg/m3 Ethyl Alcohol 806 kg/m3 Silver 10500 kg/m3 Steam @ 100 Co 0.60 kg/m3 Benzene 879 kg/m3 Lead 11300 kg/m3 Nitrogen 1.25 kg/m3 Mercury 13600 kg/m3 Gold 19300 kg/m3 Carbon Dioxide 1.98 kg/m3 Gasoline 680 kg/m3 Platinum 21400 kg/m3 Ethanol 790 kg/m3 Polystyrene 100 kg/m3 Oil 800-900 kg/m3 Cork 240 kg/m3 Wood (Pine) 350-550 kg/m3 Wood (Oak) 600-900 kg/m3 Wood (Ebony) 1000-1300 kg/m3 Bone 1500-2000 kg/m3 Concrete 2000 kg/m3 Quartz (granite) 2700 kg/m3