A comprehensive model, proposed for a vertical two-phase closed thermosyphon (TPCT) by the present authors, is further developed by utilizing the criteria for dryout, flooding and boiling limits to investigate the effects of filling ratio on them together, while the available models can just consider one or two limits of them. A new concept named dryout ratio is proposed, which can be used for predicting dryout limit. The empirical correlation and the empirical value, provided by other researchers, are used for predicting flooding and boiling limit, respectively. The experiments with nitrogen as working fluid are performed, and compared with the calculations. The maximum filling ratio is introduced, beyond which the liquid could be carried to condenser and the heat transfer performance can be deteriorated. And then the closed operation range of a vertical TPCT is finally determined, which has not been reported before. The effects of operating pressure and geometries on the range are also analyzed.
List of symbolsHeat transfer rate (W) qRadial heat flux (W m -2 ) ReReynolds number T Temperature (K) uFlow velocity (m s -1 ) V vj Vapor drift velocity (m s -1 ) xAxial coordinate y Radial coordinateGreek symbols d Liquid film thickness (m) r Surface tension (N m -1 ) q Density (kg m -3 ) a Void fraction l Dynamic viscosity (Pa s) m Kinematic viscosity (m 2 s -1 ) s Shear stress (N m -2 ) k Thermal conductivity (W m -1 K -1 ) C Mass flow rate per unit width (Kg m -1 s -1 )