To determine the friction factor of a pipe by using fluid friction apparatus

Object: To determine the friction factor for a pipe.

Apparatus: fluid friction apparatus; hydraulic bench; and stopwatch.

Word Image 2924 1

Fig. Fluid friction apparatus

Theory: According to Darcy’s equation for loss of head,

hf= flQ2 / 3d 5 (1)

f=hf 3d 5 / lQ^ 2

f = friction factor

hf = loss of head due to frictional resistance

d = diameter of the test pipe

l = length of the test pipe

Here, l = 800 mm = 80 cm and d = 15 mm = 1.5 cm, putting these values in Eq.(2)

f = 0.284 hf / Q2 (3)

Procedure:

  1. Fill the tank of the hydraulic bench with clean water.
  2. Connect the fluid friction apparatus with the hydraulics bench.
  3. Open the valve(s) that allow flow to the section under consideration and close all the irrelevant valves of the pipe friction apparatus.
  4. Connect the two ends of the tubes to the pressure-tapping nipples at the extreme ends of the 800 mm long pipe section and the manometer.
  5. Slightly open the flow control valve on the hydraulic bench.
  6. Remove air bubbles from the tubes by opening the vent valve and drain valves of the differential manometer.
  7. Read the heads in the monometers corresponding to the pressure at the ends of the test section of the pipe.
  8. Collect water in the volumetric measuring section of the hydraulics bench. Read the volume collected as well as the time taken to collect that volume of water.
  9. Open the flow control valve at the hydraulic bench slightly more to take new readings.
  10. Repeat steps 7 and 8 to observe new readings.

Observations and Calculations:

Table 1

S.

No.

Head (cm)

Discharge (cm3/sec)

Friction factor

f = 0.284 hf / Q2

hfc

Coef. of variance

h1

h2

hfo= h1 – h2

V

T

Q

= V/t

(cm)

(cm)

(cm)

(lit)

(cm3)

(sec)

(cm3/sec)

(cm)

1

2

3

4

5

Average =

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