Question

central heating system contains 7 radiators in series and has 32 metres of copper pipe which has a 13 mm intemal diametec. The flow rate of water through the plpework is 3.2 litres per minute. There are 13 gradual right angled bends in the system. Assume that the pipe is smooth and the properties of the watar those at 100 kPa and 300 K. The entry and exit to each radiator can be deemed to be sudden with the area inside the radiator 25 timest that of the pipe. Detarmine the pressure drop (in Pa) in the tystem

Answer 1

To determine the pressure drop in the central heating system, we can use Poiseuille's equation to calculate the resistance to flow in the system.

Step-by-step explanation:

To determine the pressure drop in the central heating system, we need to consider the resistance to flow in the system.

The pressure drop is caused by the frictional losses in the pipes and the sudden changes in area at the entry and exit of each radiator.

Using Poiseuille's equation, we can calculate the pressure drop in the system.

Poiseuille's equation is given by:

ΔP = 128ηLQ/(πr^4)

Where:

• ΔP is the pressure drop
• η is the viscosity of water
• L is the total length of the copper pipe
• Q is the flow rate of water
• r is the internal radius of the pipe