MINOR LOSSES IN THE PIPE SYSTEM
Object: To determine minor losses due to a pipe bend.
Apparatus:
fluid friction apparatus; hydraulic bench; and stopwatch.

Fig. Fluid friction apparatus
Theory:
The minor loss due to a pipe bend is a function of the velocity head and is written as
V 2
where
h K
2g
l
b
(1)
hl = loss of head due to pipe bend
V = velocity of flow = Q/A
2
3.1422
where,Area of flow =
A d
4
(1.7)
4
2.27 cm
(since d = 17 mm = 1.7 cm)
b
Putting values in Eq.(1),
K 2g V 2
.hl
2 981
(Q / 2.27)2
.hl
10108.2 hl
Q2
(2)
But the loss coefficient in the case of pipe bend is a function of bend radius (r) and inside diameter of the bend (d), as shown below

In the Fluid friction apparatus, r = 3.0 cm and d = 1.7 cm, i.e. r/d = 1.76, hence Kb = 0.2.
Procedure:
- Fill the tank of the hydraulic bench with clean water.
- Connect the fluid friction apparatus with the hydraulic bench.
- Open the valve(s) that allow flow to the section under consideration and close all the irrelevant valves of the pipe friction apparatus.
- Connect the two ends of the tubes to the pressure-tapping nipples at either side of the pair of pipe bends and manometer.
- Slightly open the flow control valve on the hydraulic bench.
- Remove air bubbles from the tubes by opening the vent valve and drain valves of the differential manometer.
- Read the heads in the monometers corresponding to the pressure along the entry and exit of the elbows.
- Collect water in the volumetric measuring section of the hydraulic bench. Read the volume collected as well as the time taken to collect that volume of water.
- Open the flow control valve at the hydraulic bench slightly more to take new readings.
- Repeat steps 7 and 8 to observe new readings.
- Carry out computations as per the table below and compare the average value of Kb for the pipe bend with that given in the literature, i.e., Kb = 0.2.
Observations and Calculations:
Table
S. No. | Head (cm) | Discharge (cm3/sec) | K 10108.2 hl bQ2 | |||||
h1 | h2 | hl = h1 – h2 |
| T | Q = | |||
(cm) | (cm) | (cm) | (lit) | (cm3) | (sec) | (cm3/sec) | ||
1 | ||||||||
2 | ||||||||
3 | ||||||||
4 | ||||||||
5 | ||||||||
Average Kb = |
Comments: