The Local Distribution of Temperatures and Entropy Generation Rate in an Ideal Counterflow Heat Exchanger

The process of heat exchange between two fluids different temperatures and separated by a solid wall occurs in many engineering applications. Log mean temperature difference effectiveness-NTU methods are widely used to assist the design exchangers. However, focus on overall analysis cannot show local distributions. This paper obtains mathematical solutions profiles an ideal counterflow exchanger. aim this research is explain phenomenon called “entropy generation paradox”, which indicates discrepancy effectiveness optimal entropy generation. theoretical reveals that curves exponential functions when capacity rates streams different; otherwise, linear functions. A exchanger demonstrated draw under working conditions. Local determined ratio stream form hook function. To realize certain duty, there flow rate couples, each couple results profile corresponding total helical steam generator high-temperature gas-cooled reactor analyzed article principle equipartition confirmed. that, among conditions achieve characterized nearly constant production gives best second law efficiency possible order energy conversion.