Module 2: Combustion and heat utilization
  Lecture 19: Heat recovery


Thermodynamic principles of capture and re-use of heat of POC:

Capture and re-use of heat of POC must be integrated. A heat exchanger integrates capture and reuse of heat. In the heat exchanger hot fluid (POC) flows co-current or counter-current to cold fluid, say air. Both fluids are separated by a wall. Hot fluid enters the heat exchanger at temperature and exits at temperature .

Wall is heated by the heat transferred from the hot POC. Cold fluid enters the heat exchanger at temperature and leaves at such that .

Heat balance over an infinitesimally small element of length dx can be written at steady state

Heat lost by hot fluid =  Heat gained by the cold fluid − Heat loss from the                                                                         element to the surrounding
(1) 


Let and mc are mass of hot fluid and cold fluid, CPh and CPc are the specific heat of hot and cold fluid then we can write

(2)

In eq.2, dTh and dTc are the change in temperatures of hot and cold fluid at any position along the length of the exchanger.

in an ideal adiabatic-reversible heat exchange between hot and cold fluid, dQ = zero and the process is reversible when temperature difference between hot and cold fluid at any position along the length of the heat exchanger,

i.e. provided