Answer to Question #119676 in Mechanics | Relativity for Meryclare

Question #119676
Find the Reynolds number if a fluid of viscosity 0.4 Ns/m2 and relative density of 900 kg/m3
through a 20 mm pipe with a velocity of 2.5 m/s. Is the flow Laminar or Turbulent?
Note: If Reynolds < 2000 the flow is laminar
If Reynolds > 4000 the flow is turbulent
If 2000 < Re < 4000 it is transitional flow
Re =
1
Expert's answer
2020-06-02T17:51:47-0400

We can calculate the Reynolds number as (see https://en.wikipedia.org/wiki/Reynolds_number)

"\\mathrm{Re} = \\dfrac{\\rho v D}{\\mu} = \\dfrac{900\\,\\mathrm{kg\/m^3}\\cdot2.5\\,\\mathrm{m\/s}\\cdot0.020\\,\\mathrm{m}}{0.4\\,\\mathrm{Ns\/m^2}} = 112.5."

112.5 < 2000, therefore the flow is laminar.


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