The condition for complete similarity to exist between model and prototype, where both gravity and viscous forces are important, is

[ $μ_{r}$ = kinematic viscosity ratio and $L_{r}$ = length scale ratio]

- 1
  
  $μ_{r =} {L_{r}}^{3 / 2}$
- 2
  
  $μ_{r} = {L_{r}}^{5 / 2}$
- 3
  
  $μ_{r} = {L_{r}}^{1 / 2}$
- 4
  
  $μ_{r} = {L_{r}}^{2 / 3}$

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