Fluid Flow

Summary

• Flow Rate
  • mass flow rate [kg/s]

    qm =	∆m	=	ρ∆V	=	ρA∆s	= ρAv
    	∆t		∆t		∆t

  • volume flow rate [m³/s]

    qV =	∆V	=	A∆s	= Av
    	∆t		∆t

• Continuity Equation
  • conservation of mass for fluids
  • mass per volume = mass density
  • mass continuity (for compressible fluids)

    ρ₁A₁v₁ = ρ₂A₂v₂

  • volume continuity (for incompressible fluids)

    A₁v₁ = A₂v₂

• Energy Density

  P [N/m2] =	F	=	F∆s	=	E	= η [J/m3]
  	A		A∆s		V

• Bernoulli's Equation
  • conservation of energy for fluids
  • energy per volume = energy density

  P₁ + ρgy₁ + ½ρv₁² = P₂ + ρgy₂ + ½ρv₂²