Section: Fluid Mechanics | Marks: 2
Water flows steadily through a smooth circular tube of $5\text{ cm}$ diameter at a flow rate of $\pi\text{ kg/s}$. Take viscosity $\mu = 0.001\text{ Ns/m}^2$ and density $\rho = 1000\text{ kg/m}^3$. The Darcy friction factor is given as: $f_D = 64/Re_d$ for fully developed laminar flow and $f_D = 0.316 Re_d^{-0.25}$ for fully developed turbulent flow. The approximate pressure drop per unit length in the fully developed region of the tube is
- A. $20\text{ Pa/m}$
- B. $120\text{ Pa/m}$
- C. $480\text{ Pa/m}$
- D. $960\text{ Pa/m}$