Liquid temperature increases when flowing through a 100% efficient pump?

In summary, the Rankine cycle uses a pump that is 100% efficient and operates on an isentropic process. However, there is a discrepancy as to why the temperature of the water increases as it flows through the pump, even though it is not increasing in entropy. This is due to the pump exerting a force on the water, causing a small increase in temperature that is almost negligible. This effect can be ignored in practical applications.
  • #1
oksuz_
70
3
Hi,

For an ideal Rankine cycle,

th100104p.gif


the temperature-specific entropy diagram can be given as follows,

th100108p.gif


The pump in this cycle is isentropically 100% efficient.

My question is that why the temperature of the water increases as it flows through the pump (point 1 to 2) if the pump is 100% efficient. I can understand why point 2 is not on the saturation line (need higher temperature at a higher pressure to make a liquid saturated).

Thank you in advance.
 

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  • #2
oksuz_ said:
why the temperature of the water increases as it flows through the pump (point 1 to 2) if the pump is 100% efficient.

What does the pump do to the water? It doesn't increase its entropy (since it's 100% efficient), but it has to do something in order to make the water flow. What is that something?
 
  • #3
It exerts a force (pressure) on the water. If the working fluid was gas, the pressure would increase its temperature. However, we are considering an incompressible fluid. Definitely, I am missing something.
 
  • #4
oksuz_ said:
It exerts a force (pressure) on the water. If the working fluid was gas, the pressure would increase its temperature. However, we are considering an incompressible fluid. Definitely, I am missing something.
Your constraints are contradicting each other. You are asking about what happens when water is compressed, while saying you want to consider water to be incompressible. You have to pick one.

I do have an easy way out though: the effect you are asking about is almost nonexistent, so you can just ignore it. It is exaggerated on the generic diagram you posted so it can be seen. Look at a real t-s diagram for water and you'll have trouble even seeing it to quantify it.
 

1. How does a 100% efficient pump affect the temperature of liquids?

When liquids flow through a 100% efficient pump, the temperature of the liquid will increase due to the energy added by the pump. This increase in temperature is known as the pump's "pump head" and is caused by the friction and pressure created by the pump.

2. What factors influence the temperature increase in a liquid when flowing through a 100% efficient pump?

The temperature increase in a liquid when flowing through a 100% efficient pump is influenced by several factors, including the type of liquid, the speed of the pump, and the efficiency of the pump itself. Additionally, the temperature of the surrounding environment and the duration of the liquid's flow through the pump can also impact the temperature increase.

3. Is there a limit to how much the temperature of a liquid can increase when flowing through a 100% efficient pump?

Yes, there is a limit to how much the temperature of a liquid can increase when flowing through a 100% efficient pump. This limit is known as the "critical temperature" and is determined by the properties of the liquid and the pump. If the temperature of the liquid reaches the critical temperature, it may cause damage to the pump and decrease its efficiency.

4. Can the temperature increase in a liquid be controlled when flowing through a 100% efficient pump?

Yes, the temperature increase in a liquid can be controlled when flowing through a 100% efficient pump by adjusting the speed of the pump or using external cooling methods. By controlling the speed of the pump, the amount of energy added to the liquid can be regulated, thus controlling the temperature increase. Additionally, using external cooling methods, such as heat exchangers, can help dissipate the heat and prevent the liquid from reaching its critical temperature.

5. How does the temperature increase in a liquid when flowing through a 100% efficient pump impact the overall efficiency of the process?

The temperature increase in a liquid when flowing through a 100% efficient pump can impact the overall efficiency of the process in several ways. Firstly, if the liquid reaches its critical temperature, it can decrease the efficiency of the pump and potentially cause damage. Additionally, the increase in temperature may also affect the properties and behavior of the liquid, which can impact the overall efficiency of the process. Proper monitoring and control of the temperature increase is crucial for maintaining the efficiency of the process.

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