Scaling Laws Time L0
Distance / Velocity L1
Surface tension L2
Electrostatic force L2
Friction L2
Thermal losses L2
Mass L3
Gravity L3
Magnetics L3
Power L3
Scaling Laws Vertical bracket notation
Determine scaling for eachcomponent in equation
Change “input” by desired orderof magnitude
Derive change in outputparameter
F=ma a linked by mass
Scaling in Microfluidics
Reynolds number– Laminar flow
– Friction factor
Pressure drop
Breakdown in continuum theory– Mean free path
Sample sizes / concentrations