For a counter current heat exchanger with Ti h = 80°C, T°c = 60°C, T°h = 50°C and Ti c = 30°C, and the temperature difference between the two streams being the same everywhere along Z, the direction of flow of hot fluid. The temperature profile should satisfy A)d ²T/dZ² 0 B)d ²T/dZ² = 0 C)d ²T/dZ²

Question

For a counter current heat exchanger with Ti h = 80°C, T°c = 60°C, T°h = 50°C and Ti c = 30°C, and the temperature difference between the two streams being the same everywhere along Z, the direction of flow of hot fluid. The temperature profile should satisfy A)d ²T/dZ² > 0 B)d ²T/dZ² = 0 C)d ²T/dZ² < 0 D)dT/dZ = 0

Quizplus · Accepted Answer

In a counter-current heat exchanger with a constant temperature difference along the length, the temperature profile is linear, implying that the second derivative of temperature with respect to the length (d²T/dZ²) is zero.

For a Counter Current Heat Exchanger with Ti H =