BENG1 INTRODUCTION to
THERMO-FLUIDS (THER 103)
TUTORIAL EXAMPLES in FLUID ENERGY
(SSL conditions are 101.325 kPa, and 15°C)
1.
Oil of relative density 0.8 flows at
the rate of 0.216 m3/s through a pipe which tapers in the direction
of flow. The diameter at point A is 600
mm and the diameter at point B is 300 mm. Point B is 3.6 m vertically below
point A. The gauge pressure at point A is 84 kPa. Ignoring any frictional
losses calculate the gauge pressure at point B.
[109 kPa(gauge)]
2.
A pipeline connects pumping station A
to pumping station B which is at a level 6 m higher than A. From station A oil is pumped into the
pipeline, which is 150 mm diameter at this point, at a rate of 4.25 m3/min
and at a pressure of 175 kPa. The
pressure at station B is 103.5 kPa and the pipe is 225 mm diameter. If the relative density of the oil is 0.88,
determine the total head at each station and the head loss due to friction. [21.09 m : 18.15 m :
2.94 m]
3.
A vertical pipeline decreases
uniformly from 150 mm diameter at A to 75 mm diameter at B, 2.75 m vertically
below A. When 25.5 litres/second of
fresh water is flowing down the pipe, the pressure at B is 9 kPa greater than
at A. Assuming the frictional losses in the pipe can be expressed as: 
, where vA
is the velocity at A, estimate the value of k.*
4.
Oil of relative density 0.85 flows up a
vertical pipeline 4 m long. The pipe
tapers uniformly from 100 mm diameter at the lower end to 200 mm diameter at
the upper end and the pressure at the upper end is 120 kPa greater than at the
lower end. Neglecting losses, determine
the flow rate through the pipe line in kg/s.
[131 kg/s]
5.
Fresh water flows up a vertical
pipeline which tapers uniformly over a length of 6 m from 75 mm diameter at the
lower end to 150 mm diameter at the upper end.
If the pressure at the lower end is 1.15 bar below that at the upper
end, determine, neglecting losses, the flow rate through the pipe line in m3/s. [0.085 m3/s]