5.1 Write and balance the Bernoulli general energy equation in terms of specific energy between points 1 and 2 of the mi

[answerhappygod]

5 1 Write And Balance The Bernoulli General Energy Equation In Terms Of Specific Energy Between Points 1 And 2 Of The Mi 1 (47.66 KiB) Viewed 51 times

5.1 Write and balance the Bernoulli general energy equation in terms of specific energy between points 1 and 2 of the mine ventilation system shown in Fig. 5.15, on the basis of (a) absolute pressure and (b) gage pressure, given the following: Hs, = 5.0 in. (127 mm) water H = 1.0 (25.4) H = 0 0.5 (12.7) Drift H, = 3.5 (88.9) Bend H, = 0.5 (12.7) Shaft H, = 1.5 (38.1) HE Disregard shock losses at inlet and discharge. 5.2 Plot and label the head gradients for (a) and (b) in Problem 5.1 showing the fan in each of three possible locations (blower, exhaust, and booster). Calculate the mine heads for each arrangement. Assume the booster is located at point 3.
2 Elev. 700' (213.4 m) --Elevo FIGURE 5.15 Mine ventilation system in Problems 5.1 and 5.2.
1. Problem 5.1 (Textbook). [Refer to Pages 137 to 140] (12 points) 2. Problem 5.2 (Textbook): Please plot only for gage pressure. [Refer to Pages 143 to 148] You can plot each of the three graphs by hand on individual graph paper sheets (not engineering paper) and attach them to your answer. Or, preferably, you're welcome to plot in MS Excel (use the scatter plotting function and connect the dots with straight lines; this option is available to you on Excel). Let the length between point 1 and point 3 be 1000 ft. You will use the lengths of 1 - 3 and 3 – 2 as the X-axis distances. Transition the fan (wherever you place it) over a length of 20 ft. on the X-axis. Transition the right angle turn at point 3 over a length of 20 ft. on the X-axis. For example, for a blower fan placed at 1, the table will look like the following: Point 2 Distance from Fan Hs (inches Ht (inches Inlet (ft./X-Axis) of Water) of Water) X1 Hs1 Ht1 1040 Hs2 Ht2 1020 Hs3 Ht3 20 Hs4 Ht4 0 Hs5 Ht5 3 1 (Fan) where, you will have to calculate Hs1, Htl etc. from the data given in Problem 5.1. Make a separate table for each fan position (1, 2 and 3), and plot the results. Can you determine what X1 should be? (30 points)
3. If quantity measured at 2, Q = 120,000 cfm in all cases (i.e., fan at 1, 2 and 3), and we assume w = 0.075 lb./cu. ft., compute the cross-sectional areas from 1 – 3 and 3 – 2 from the data given to you in Problem 5.1. Round to zero decimal places (i.e., whole numbers). [8 points]