Question

1. Calculate the experimental head loss from the readings taken in the manometer below and compare them with theoretical predictions. NOTE: The table is only provided for inputting the answers. The only given parameters are the temperature of the water, flow rate and manometer reading. Calculate the velocity, Reynolds Number, Darcy Friction Factor, Theoretical Head Loss and Experimental Head Loss.

2. Compare the differences of using a Moody Chart and the Haaland Approximation of the Darcy Friction Factor by calculating the theoretical and experimental head loss (h_L) from the conditions above in Q1.

Temperature (degrees Celsius)	Flow Rate (L/min)	Manometer Reading (mmHg)	Velocity (m/s)	Reynolds Number, Re	Darcy Friction Factor, f	Theoretical Losses, hL (m)	Experimental Losses, hL (m)
24.0	8	6
24.0	16	22
24.0	24	46
24.0	32	79
24.0	40	117

HINT: Use the Darcy Equation and Reynolds Number provided below.

where f = Darcy Friction Factor calculated from the Haaland Approximation of the Darcy Friction Factor $\frac{1}{\sqrt{f}} = -1.8 log[\frac{6.9}{Re} +(\frac{\varepsilon /d}{3.7})^{1.11}]$ where $\varepsilon$ is the nominal roughness given as $1.5\times 10^{-3}$ mm, l = length of the pipe given as 1.22 m, v = mean velocity of flow in the pipe (m/s) and d = diameter of the pipe given as 0.01384 m.

?? = ??? 2gd

$Re = \frac{\rho vd}{\mu }$ where $\rho$ = mass density of water (kg/m³), v = Mean velocity of flow in the pipe (m/s), d = diameter of the pipe given as 0.01384 m and $\mu$ = dynamic viscosity (Pa . s). NOTE: The temperature of the water during testing was 24 degrees Celsius.

Answer 1