Consider a heat exchanger with two streams A & B. Going by Fuel-Product definition for exergy analysis, suppose stream A is the fuel stream and stream B is the product stream. My question is whether the following can be possible.
Exergy @ A_in > Exergy @ A_out &
Exergy @ B_in > Exergy @ B_out.
If this will be true then Exergy destruction = Exergy of Fuel - Exergy of Product will become more than exergy of fuel and thus make the exergetic efficiency of that heat exchanger to be negative.
Such a situation never occurs. I think you have been misled because of the temperature change that passes the reference point. For more information refer to the book "Efficiency Evaluation of Energy Systems" by Mehmet Kanoğlu, Yunus A. Çengel, and İbrahim Dinçer:
Book Efficiency Evaluation of Energy Systems
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