Water with a density of 1000 kgm³ is pumped through a counter flow heat exchanger mounted on a large diesel generator skid to remove heat from the generator lubricating oil. The water circuit then passes through an air-cooled coil in order to dissipate this heat. The water circuit comprises of 150 m of 50 mm diameter mild steel pipe, 25 elbows, 6 isolating valves (IV), 1 fixed orifice double regulating valve (FODRV), 1 strainer and 1 non-return valve (NRV). Pressure loss factors for the fittings are given in table Q4.1. The manufacturer of the shell and tube heat exchanger has stated that the pressure drop in the exchanger can be modelled by AP = (with the capacity factor X= 0.0008 m³s-¹Paªs. The data sheet for the air-cooled coil has limited water side pressure drop data and the only water pressure drop figure given is a constant 80 kPa. Develop the system equation for the water piping circuit and hence estimate the volumetric flow rate in the system if the pump with the operating characteristics in table Q4.2 is to be installed. Assume a friction factor for the pipe of 0.02 and take the internal diameter of the pipe to be equal to the nominal bore (50 mm). Comment on the velocity of the water in the piping system. If the design volumetric flow rate is 120 litres per minute, comment on the need for having the FODRV installed.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Water with a density of 1000 kgm³ is pumped through a counter flow heat exchanger mounted on a
large diesel generator skid to remove heat from the generator lubricating oil. The water circuit then
passes through an air-cooled coil in order to dissipate this heat. The water circuit comprises of 150 m of
50 mm diameter mild steel pipe, 25 elbows, 6 isolating valves (IV), 1 fixed orifice double regulating valve
(FODRV), 1 strainer and 1 non-return valve (NRV). Pressure loss factors for the fittings are given in table
Q4.1. The manufacturer of the shell and tube heat exchanger has stated that the pressure drop in the
exchanger can be modelled by AP = (with the capacity factor X = 0.0008 m³s-¹Paº5. The data sheet
for the air-cooled coil has limited water side pressure drop data and the only water pressure drop figure
given is a constant 80 kPa.
Develop the system equation for the water piping circuit and hence estimate the volumetric flow rate
in the system if the pump with the operating characteristics in table Q4.2 is to be installed. Assume a
friction factor for the pipe of 0.02 and take the internal diameter of the pipe to be equal to the nominal
bore (50 mm).
Comment on the velocity of the water in the piping system. If the design volumetric flow rate is 120
litres per minute, comment on the need for having the FODRV installed.
Table Q4.1 Fittings details
Description
Elbows
IV
FODRV
Strainer
NRV
Table Q4.2 Pump characteristics
Q[l/min]
H [m]
0 50
Size
(mm)
50
50
50
50
50
50 46
100
40
Quantity 3
25
6
1
1
1
0.6
0.3
4
4.5
12
150 200 250
30 20 4
Transcribed Image Text:Water with a density of 1000 kgm³ is pumped through a counter flow heat exchanger mounted on a large diesel generator skid to remove heat from the generator lubricating oil. The water circuit then passes through an air-cooled coil in order to dissipate this heat. The water circuit comprises of 150 m of 50 mm diameter mild steel pipe, 25 elbows, 6 isolating valves (IV), 1 fixed orifice double regulating valve (FODRV), 1 strainer and 1 non-return valve (NRV). Pressure loss factors for the fittings are given in table Q4.1. The manufacturer of the shell and tube heat exchanger has stated that the pressure drop in the exchanger can be modelled by AP = (with the capacity factor X = 0.0008 m³s-¹Paº5. The data sheet for the air-cooled coil has limited water side pressure drop data and the only water pressure drop figure given is a constant 80 kPa. Develop the system equation for the water piping circuit and hence estimate the volumetric flow rate in the system if the pump with the operating characteristics in table Q4.2 is to be installed. Assume a friction factor for the pipe of 0.02 and take the internal diameter of the pipe to be equal to the nominal bore (50 mm). Comment on the velocity of the water in the piping system. If the design volumetric flow rate is 120 litres per minute, comment on the need for having the FODRV installed. Table Q4.1 Fittings details Description Elbows IV FODRV Strainer NRV Table Q4.2 Pump characteristics Q[l/min] H [m] 0 50 Size (mm) 50 50 50 50 50 50 46 100 40 Quantity 3 25 6 1 1 1 0.6 0.3 4 4.5 12 150 200 250 30 20 4
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