To determine minor losses due to a sharp 90° elbow using losses in pipes and bends apparatus.

MINOR LOSSES IN THE PIPE SYSTEM

Object

To determine minor losses due to a sharp 900 pipe elbow.

Apparatus

losses in bends and fittings apparatus; hydraulic bench and stopwatch.

Word Image 2952 1

Fig. Losses in bends and fittings apparatus

Theory

The minor loss due to a sharp 90o elbow is a function of velocity head and is written as

V 2

h K

l

e90 2g

(1)

where

hl = loss of head due to Elbow

V = velocity of flow = Q/A where,Area of flow =

A   d 2

4

 3.14

4

(1.7)2

 2.27

cm2

(since d = 17 mm = 1.7 cm)

Putting values in Eq. (1),

2𝑔

Ke90 = 𝑣2 . ℎ𝑙

2 x 981. ℎ𝑙 = 10110

( 𝘘 )2

=

2.27

ℎ𝑙

𝑄2(2)

Procedure

  1. Fill the tank of the hydraulic bench with clean water.
  2. Connect the Losses in Bends and Fittings Apparatus with the hydraulic bench.
  3. Connect the two ends of the tubes to the pressure-tapping nipples at either side of the pair of elbows and the manometer.
  4. Slightly open the flow control valve on the hydraulic bench.
  5. Remove air bubbles from the tubes by opening the vent valve and drain valves of the differential manometer.
  6. Read the heads in the monometers corresponding to the pressure along the entry and exit of the elbows.
  7. 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.
  8. Open the flow control valve at the hydraulic bench slightly more to take new readings.
  9. Repeat steps 6 and 7 to observe new readings.
  10. Carry out computations as per the table below and compare the average value of Ke90 for a sharp 90o elbows with that given in the literature, i.e. Ke90 = 1.1

Observations and Calculations:

Table

S.

No.

Head (cm)

Discharge (cm3/sec)

Ke90=10110 . ℎ𝑙

𝑄2

h1

h2

hl

= h1 – h2

V

V

t

Q

= V/t

(cm)

(cm)

(cm)

(lit)

(cm3)

(sec)

(cm3/sec)

1

2

3

4

5

Average Ke90 =

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