A fluid of density ' $\rho$ ' and viscosity ' $\eta$ ' is flowing through a pipe of diameter ' $d$ ', with a…
A fluid of density ' $\rho$ ' and viscosity ' $\eta$ ' is flowing through a pipe of diameter ' $d$ ', with a velocity ' $v$ '. Reynold number is
$\frac{2 d \rho v}{\eta}$
$\frac{\mathrm{d} \rho \mathrm{v}}{\eta}$
$\frac{d \rho v}{\eta^2}$
$\frac{2 \eta \mathrm{dv}}{\rho}$
Solution
The Reynolds number is the ratio of inertial forces to viscous forces within a fluid subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.
$\mathrm{R}_{\mathrm{e}}=\frac{\mathrm{\rho} V \mathrm{D}}{\mu}$
Where
$\rho=\text { density of the fluid }$
$\mathrm{V}=\text { velocity in } \mathrm{m} / \mathrm{s}$
D = Diameter
$\mu=$ Dynamic Viscosity