_kon
Materials
- Apr 26, 2024
- 2
I am trying to design a control system for a simple heating system (I am not en expert in this area) and I want to set the mass flow on both sides of the counter-flow heat exchanger at a given moment (in a simplified way for now). The cold water stream has temperature T1 and the mass flow is m1. I want to heat it to Tfinal temperature. The warm water stream has a temperature T2>Tfinal and the question is what should be the mass flow of the warm stream m2? I want to assume (for now) an ideal exchanger, which means that the overall heat transfer coeffisient OHTC can be as big as I want. For now, I used a simple equation:
m1*cp_water*(Tfinal-T1) = m2*cp_water*(T2-Tx)
I have two unknowns: m2 and Tx. I assumed that Tx can go down to T1, hence I can estimate (Tx_min = T1) that:
m1*(Tfinal - T1)<= m2(T2-T1)
hence:
m2 >= m1*(Tfinal-T1)/(T2-T1)
However, this is only an estimate (and I don't know if it is corrent)and does not take into account the flows in the exchanger.
Could someone help me (give me the right equation) or point me to a source that would allow me to correctly calculate m2?
m1*cp_water*(Tfinal-T1) = m2*cp_water*(T2-Tx)
I have two unknowns: m2 and Tx. I assumed that Tx can go down to T1, hence I can estimate (Tx_min = T1) that:
m1*(Tfinal - T1)<= m2(T2-T1)
hence:
m2 >= m1*(Tfinal-T1)/(T2-T1)
However, this is only an estimate (and I don't know if it is corrent)and does not take into account the flows in the exchanger.
Could someone help me (give me the right equation) or point me to a source that would allow me to correctly calculate m2?