Heat duty, outlet temperatures, effectiveness and NTU of a counterflow or parallel-flow exchanger.
Q = \varepsilon(NTU, C_r)\,C_{min}(T_{h,i} - T_{c,i})
Inputs
C_hot heat capacity rate of the hot stream (m cp) [W/K]C_cold heat capacity rate of the cold stream (m cp) [W/K]UA overall conductance U A [W/K]Th_in hot inlet temperature [K]Tc_in cold inlet temperature [K]arrangement flow arrangement choice
Returns
Q heat transfer rate [W]Th_out hot outlet temperature [K]Tc_out cold outlet temperature [K]effectiveness effectivenessNTU number of transfer units
Applies when
- positive capacity rates and UA
- hot inlet hotter than cold inlet
Example
m.ask("Effectiveness-NTU rating, counterflow: C_hot = 2000 W/K, C_cold = 4000 W/K, UA = 3000 W/K, Th_in = 150 °C, Tc_in = 30 °C")
→ Q = 165788 W, Th_out = 340.256 K, Tc_out = 344.597 K, effectiveness = 0.690785 1, NTU = 1.5 1