Do we assume the mixing chamber has an outlet?

Click For Summary

Homework Help Overview

The problem involves a mixing chamber where hot and cold fluid streams are combined. The scenario includes specific mass flow rates and energy values for each fluid, along with heat transfer to the surroundings. The focus is on understanding the implications of the system's steady-flow condition and the existence of an outlet.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are exploring whether the mixing chamber must have an outlet based on the steady-flow assumption. There is confusion regarding the implications of having only inlets and how that affects mass flow rates and energy balance.

Discussion Status

Some participants have provided insights into the implications of the steady-flow condition, suggesting that for the system to maintain constant properties, an outlet must exist. The discussion is examining the relationship between mass flow rates in and out of the chamber.

Contextual Notes

Participants are questioning the assumptions made about the mixing chamber's configuration, particularly regarding the lack of explicit information about an outlet. This uncertainty is influencing their reasoning about energy and mass flow rates.

EastWindBreaks
Messages
128
Reaction score
3

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?
 

Attachments

  • eq040106.gif
    eq040106.gif
    1.2 KB · Views: 545
Physics news on Phys.org
EastWindBreaks said:
does not gain or lose energy or mass with time
What does that imply?
 
  • Like
Likes   Reactions: EastWindBreaks
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?
 
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.
 
  • Like
Likes   Reactions: EastWindBreaks

Similar threads

  • · Replies 1 ·
Replies
1
Views
3K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 45 ·
2
Replies
45
Views
6K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 51 ·
2
Replies
51
Views
9K