Determine the reynolds number for a flow of 0.2 m^3/s through a 203 mm inner diameter circular pipe of a fluid with rho=680 kg/m^3 ,μ=3.1*10^(-4) ((n-s)/m^2 ),and σ=0.022 n/m. is the flow laminar or turbulent?

To find a solution to this problem it is necessary to apply the concepts related to the Reynolds number and its definitions on the type of fluid.

A Reynolds number less than 2000 considers the laminar fluid, while a Reynolds number greater than 4000 is considered a turbulent fluid. (The intermediate between the two values would be a transient fluid)

The mathematical equation that defines the Reynolds number is given by

Where

Density

V= Velocity

D= Diameter

Viscosity

Our values are given as

The velocity can be find through the Discharge equation,

Q = VA

Where

V = Velocity

A = Area

Replacing,

Replacing at the Reynolds equation,

Since Reynolds' number is greater than 4000, then we consider this a turbulent fluid.

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