Flow

Quantity of fluid passing a point in unit time
F = QT

Laminar flow

Flowing liquid made up of a series of parallel laminae
Flow greatest in centre (x2 mean flow), and least at walls where approaches zero

Pressure drop
Radius
4
1/Length
1/Viscosity (the property of a fluid that prevents flow)

Hagen poiselle

F = ∏ P r4 / 8 n l

Applies to newtonian fluids (water, not blood)

Turbulent flow

Critical flow is the flow above which flow becomes turbulent
Turbulence becomes likely when reynold’s no >2000

Re = velocity x density x diameter / viscosity


√P
r
2
1/√length
1/√density

Clinical implications

Gas

  • Turbulent flow increases resistance
  • Minimise angles and constrictions in breathing systems
  • Decreased calibre of airways may critically impair respiration
Liquid
  • Fluid flow through a cannula will double if driving pressure doubled or length halved and x16 if internal diameter doubled

Flow measurement

Liquid
Syringe driver
Drop counter

Blood flow
US Doppler
  • Change in observed frequency when the source moves towards or away from the observer
  • US from crystal reflects off RBCs and sensed by a second crystal
  • Frequency of reflected waves increases to the velocity of the flow towards the probe
Thermodilution
  • Cold fluid injected and temp measured at thermistor in PA catheter or PICCO A-line
  • Conc time curve generated from which CO worked out
Fick
  • Blood flow = rate of uptake or excretion / AV difference
Positron emission tomography and scintillography - Research tools

Gas
  • Constant orifice / variable pressure
Pneumotachograph
Senses the pressure difference across a fixed resistance
Flow made laminar so pressure
flow

  • Constant pressure / variable orifice
Rotameter
Tapered glass tube containing a bobbin with angled grooves so it spins
Laminar at low flow; turbulent at high flow
Peak flow meter

  • Variable pressure variable orifice
Watersight
Gas through a tube with holes immersed in water
Variable orifice due to no of holes
Variable pressure due to depth

  • Other
Thermistor
Heated wire in gas flow
flow current needed to maintain constant temp
Volume of gas per unit time
Respirometer
Spirometer