Water mixing temperature- different flow rates

[Elodie Sandou]

1. The problem statement, all variables and given/known data
What is the temperature of the resultant flow if you have 15 l/s of 14 degC water mixing with 76.4 l/s of 41 deg C water?


2. Relevant equations



3. The attempt at a solution

delta T colder water = delta T warmer water

[stewartcs]

1. The problem statement, all variables and given/known data
What is the temperature of the resultant flow if you have 15 l/s of 14 degC water mixing with 76.4 l/s of 41 deg C water?


2. Relevant equations



3. The attempt at a solution

delta T colder water = delta T warmer water

This would be a typical mixing chamber type problem, but you'll need to know the pressure. The mass and energy balance yields:

h_3 = \frac{\dot{m_1}h_1 + \dot{m_2}h_2}{\dot{m_1} + \dot{m_2}}

The m_dots with subs 1 and 2 are the respective mass flow rates coming into the mixing chamber. The h's are the respective enthalpies. They can be looked up in a steam table based on the inlet temperatures. This assumes of course that the inlet temperatures are below the saturation temperature of water at the specified pressure (i.e. it is in the compressed liquid state). Assuming that criterion is satisfied, the enthalpy of a compressed liquid can be approximated as a saturated liquid at the given temperature.

Once you have the enthalpy at the exit (h_3) you can look up the corresponding temperature in a steam table (or REFPROP if you have that database). If the exact enthalpy doesn't appear in your table you can interpolate and get a reasonable answer (depending on what accuracy you want).

Hope that helps.

CS

[Elodie Sandou]

Dear CS,
Thank you very much for your help! I had asked 4 engineers previous to this, but they all suggested a weighted average. Thanks again.