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Heat Transfer
Convection & Radiation
GATE 2023
Medium

Consider a counter-flow heat exchanger with the inlet temperatures of two fluids (1 and 2) being T1,in=300 K and T2,in=350 K. The heat capacity rates of the two fluids are C1=1000 W/K and C2=400 W/K, and the effectiveness of the heat exchanger is 0.5. The actual heat transfer rate is _____ kW.

10 kW(± 0.2 accepted)

Explanation

Cmin=min(1000,400)=400 W/K. Qmax=Cmin×(Th,in−Tc,in)=400×50=20000 W=20 kW. Actual heat transfer=effectiveness×Qmax=0.5×20=10 kW.

Source: GATE ME 2023 Official Paper (2023)

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