The pressure drop per unit length p/L in smooth pipe flow is known to be a function

The pressure drop per unit length Δp/L in smooth pipe flow is known to be a function only of the average velocity V, diameter D, and fluid properties ρ and μ. The following data were obtained for flow of water at 20°C in an 8-cm-diameter pipe 50 m long:
Q, m3/s 0.005 0.01 0.015 0.020
Δp, Pa 5800 20,300 42,100 70,800
Verify that these data are slightly outside the range of Fig. 5.10. What is a suitable power-law curve fit for the present data? Use these data to estimate the pressure drop for flow of kerosene at 20°C in a smooth pipe of diameter 5 cm and length 200 m if the flow rate is 50 m3/h.