A 0.3 mm long invertebrate larva moves through 20oC water at 1.0 mm/s. You are creating an enlarged physical model of this larva so you can better study its flow pattern in the laboratory. Your model must be able to move at 50 cm/s and you will place the model in honey instead of water. Honey has a density of 1400 kg/m3 and a viscosity of 600 Pa-s.

Required:

How long should your model be?

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12 September, 18:04

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Belinda Rosales · Answer 1

For the problem, we should have same reynolds number

ρvd/mu = constant

1000*1*10⁻³*0.3*10⁻³/1.002*10⁻³ = 1400*0.5*d/600

d = 25.66 cm