Derivation of a Formula for Calculating the Critical Radius of a Spherical Liquid Droplet and Its Analysis

Based on the earlier work performed by other researchers the authors have derived a formula for the accurate calculation of the critical radius of a spherical liquid droplet under a supersaturation state. In addition, on the basis of available experimental data a formula for the exact prediction of liquid droplet surface tension was obtained by using a fitting process. Then, by a comprehensive consideration of the influence of steam state equation, surface tension and water density calculation method on the calculation of liquid droplet critical radius a specific mode for calculatiing liquid droplet critical radius under a supersaturation state was developed. Finally, through an analysis of the above mentioned calculation formula it is considered appropriate to adopt a simplified form of the critical radius calculation formula during the calculation of liquid droplet critical radius under a low supersaturation state.