Water is flowing in fully developed conditions through a 0.004-m-diameter smooth tube with a mass flow rate of 0.02 kg/s at 15°C. The properties of water at 15°C are:
rho=999.1 kg/m³
μ=1138 x 10⁻³ kg/m-s
If the maximum velocity of the flow in the tube is 0.0113 m/s, determine the pressure gradient for the flow.