2) A bacterium can swim as fast as hundreds of body lengths per second. What is...
2) A bacterium can swim as fast as hundreds of body lengths per second. What is the minimum swimming speed for a bacterium of 1 µm in length in order to experience turbulent flow, and would it ever do so? Assume the viscosity of water is 10-3 kg m-1 S-1, and that the density of water is 1 kg m-3.
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Homework Answers
Answer : Viscosity is 10^(-3) kg/m*sec
Density of water = 1 kg/m^3
L = 1 micro meter.
Reynolds Number = Density*Velocity*Length / (Viscosity)
Flow will become turbulent when Reynolds Number is greater then 2000.
So, the minimum velocity required is given by :
v = (R*Viscosity) / (Density*Length)
= 2000 * 10^(-3) / 1* 10^(-6)
= 2*10^(6) m/sec.
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