Do we assume the mixing chamber has an outlet?

In summary: The total energy carried from the mixing chamber by the fluid mixture per unit mass of fluid is 120 kJ/kg.In summary, a mixing chamber with hot and cold fluid streams has a steady flow and no mass or energy change with time. The total energy carried by the fluid mixture per unit mass is 120 kJ/kg. The presence of an outlet is necessary for steady flow conditions to be met.
  • #1
EastWindBreaks
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Homework Statement


Hot and cold streams of a fluid are mixed in a rigid mixing chamber. The hot fluid flows into the chamber at a mass flow rate of 5 kg/s with an energy in the amount of 150 kJ/kg. The cold fluid flows into the chamber with a mass flow rate of 15 kg/s and carries energy in the amount of 50 kJ/kg. There is heat transfer to the surroundings from the mixing chamber in the amount of 5.5 kW. The mixing chamber operates in a steady-flow manner and does not gain or lose energy or mass with time. Determine the energy carried from the mixing chamber by the fluid mixture per unit mass of fluid, in kJ/kg.

Homework Equations


energy balance equation for open system
eq040106.gif

The Attempt at a Solution



I already have seen the solution but since the problem did not specify the existence of an outlet. I am confused about if there is an outlet from this chamber or not, if it has only 2 inlets, then the mass flow rate of the mixture still equals the sum of the inlets mass flow rate, correct? and the mass flow rate of the mixture is just the mass rise rate of the mixture in the tank right? since the mixture has no outlet to flow into, it can only rises. but without an outlet, the change in kinetic energy would not be negligible anymore right? since the fluid velocity in a tank is negligible compare to the velocity inside the pipe. but to find the velocity of the inlets, we need the inlets areas which are not given, so do we always assume that a mixing chamber problem has an outlet?
 

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  • #2
EastWindBreaks said:
does not gain or lose energy or mass with time
What does that imply?
 
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  • #3
haruspex said:
What does that imply?
it implies that the properties inside the chamber is constant, therefor there must be an exit for it to be a steady flow?
 
  • #4
EastWindBreaks said:
it implies that the properties inside the chamber is constant, therefor there must be an exit for it to be a steady flow?
Yes. Since the mass doesn't change, the mass flow rate out must match the mass flow rate in.
 
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1. Do we assume that the mixing chamber has an outlet?

Yes, in most cases, it is assumed that a mixing chamber will have an outlet to allow for the mixture to be removed or dispensed.

2. Why is the presence of an outlet important in a mixing chamber?

The outlet allows for the mixture to be removed or dispensed, which is necessary for further analysis or use. It also helps to control the flow and composition of the mixture.

3. Are there any cases where a mixing chamber may not have an outlet?

In some experimental setups, a mixing chamber may not have an outlet. This could be due to the need for a closed system or to prevent the mixture from being contaminated.

4. Can a mixing chamber function without an outlet?

In general, a mixing chamber cannot function without an outlet. The presence of an outlet allows for the mixture to be removed or dispensed, which is necessary for the mixing process to be completed.

5. How do we determine the size and location of the outlet in a mixing chamber?

The size and location of the outlet in a mixing chamber depend on various factors, such as the desired flow rate, the type of mixture being used, and the overall design of the chamber. It is important to consider these factors and consult with experts to determine the optimal size and location for the outlet.

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