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Consider fluid flowing through a circular pipe of constant cross-section. The pipe diameter D = 0.2 m and length L = 8 m. The inlet velocity Ūz = 1 m/s. Consider the velocity to be constant over the inlet cross-section. The fluid exhausts into the ambient atmosphere which is at a pressure of 1 atm. Take density ρ = 1 kg/ m3 and coefficient of viscosity µ = 2 x 10-3 kg/(ms). The Reynolds number Re based on the pipe diameter is

Latex
Wiki Markup
{latex}
\large
$$
{Re} = {\rho {\bar{U}}_zD \over \mu} = 100
$$
{latex}

where Ūz is the average velocity at the inlet, which is 1 m/s in this case.

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