Hello everyone,
I would like to ask you a conceptual question about an indirect heater. It is not mi intention you to solve mi problem, instead of that I want you to clear me same doubt about the approach or method I used.
Problem to solve:
I have a present indirect heater (vapor bath) with the next variables:
· Mass Flow: 24270 kg/hr (Gas – Oil – Water)
· Q (heat flow) required to be exchange: 1426 KW
· Area: 59.88 m2
· Dt ml: 83.72 °C
· Overall heat transfer coefficient 298 W/m2°C
· Present Burner: 2.300.000 Kcal/h (2673KW)
Now, my client is asking me to verify which the maximum capacity of this heater is. How much mass flow rate can be processed?
What should I do?
I take two different approaches. I ask you if I am making a big mistake, please let me now!!!!
Approach A:
I take the Equation:
Q: U x A x DT
Q heat flow: I Asume a 65% maximum efficiency based on the capacity of the present burner so, 2.300.000 Kcal/hr * 0.65 : 1.495.000 Kcal/hr heat flow available to transfer the fluid. Converting units: 1737 KW. Then:
Q heat flow : 1737 KW
Area: 59.9 m2
Dtml: 83.64 °C
New Required U: 346 W/m2ºC
Then a raise the flowrate to raise velocity, because of that Reynolds Number increase, because of that Internal heat transfer coefficient hi increase and finally I GET my 346 W/m2 °C.
It is right? My final result is: 41510 Kg/h
Aproches B:
I take this two Equation:
Q: (Houtlet-H Inlet)*Qmass
Q: U x A x DT
Then I make the next iterative calculation:
Raise Mass Flowrate by a 10% factor and the Calculate new Q10% Mass flowrate
After that, take the equation:
Q: U x A x DT
Q: Q10% calculated by Q: (Houtlet-H Inlet)*Q10% Mass flowrate
Dtml: 83.64 °C
U: Calculates from new Qmass flowrate
A: Check that the required area versus the present area of 59.9m2
If I have enough area I still raising mass flowrate.
If I don’t have enough area, a reduce mass flowrate.
At the end of this iterative calculation, I will find a new mass flowrate of: 26330 Kg/hr
Which of these approaches is the best? Some of them will give me an incorrect answer? I ask this because these approaches give me different results (very different) . If B is the correct one, what I am missing in approach A?
Thanks you!
Ariel