Question

The water flows from a tap of diameter 1.25 cm with a rate of $5\times {10}^{-5}{m}^3{s}^{-1}$. The density and coefficient of viscosity are ${10}^3$ kg $m^3$ and ${10}^{-3}$ Pa is respectively. The flow of water is

• A. steady with Reynolds number 5100
• B. turbulent with Reynolds number 5100
• C. steady with Reynolds number 3900
• D. turbulent with Reynolds number 3900

Answer 1

The correct option is B turbulent with Reynolds number 5100

Reynolds number,
$R_e=\frac{v\rho D}{\eta }$ and $v=\frac{4Q}{\pi D^2}$ (as $Q=\frac{\pi D^2}{4}V$),
$R_e=\frac{4Q\rho }{\pi D\eta }$