Transient heat conduction in cool-thermal discharge systems with producing chilled air under constant discharge fluxes and external recycle

The mathematical model of the heat transfer phenomena in the cool-thermal discharge systems with external recycle and constant discharge flux has been derived theoretically in this study. The chilled air was produced by the ambient air flowing through the ice layer surface and water layer surface after the ice melting. The conduction–convection heat-transfer problem with a moving boundary was solved using the energy balance associated with integral boundary-layer analysis. The effects of recycle operation on the outlet chilled air temperature, air mass velocity and average Nusselt numbers for three numerical cases with three different discharge fluxes were discussed. The results show that a considerable device performance improvement was obtained by employing external recycle in a cool-thermal discharge system.