A mathematical model based on the Lucas-Washburn equation has been developed to address the relationships between capillary height,capillary radius and heat flux in a capillary loop.The stability criteria at the interface are studied in detail by introducing a small perturbation to the interfaces of the capillary loop.The formulae deduced as a consequence are used to analyze the influence of height of the capillary wick and the stability in a capillary loop undergoing phase changes.
