Question

For a balanced counter flow heat exchanger where \( \dot{m}_h C_{ph} = \dot{m}_c C_{pc} \), the logarithmic mean temperature difference (LMTD) and temperature profile is:

• A. \( \Delta T \) at any section = Constant, parallel, linear
• B. 0, parallel, linear
• C. \( \Delta T \) at any section = Constant, parallel, non-linear
• D. 0, parallel, non-linear

Hint:

In counter flow heat exchangers, the temperature difference remains linear, making it easier to calculate heat transfer rates.

Answer 1

The Correct Option is A

For a balanced counter flow heat exchanger, the temperature difference between the hot and cold fluids remains constant along the length of the heat exchanger. This results in a linear temperature profile and a constant \( \Delta T \) at any section.