@Article{cmes.2009.046.209, AUTHOR = {Huamin Zhou, Hua Zhang, Dequn Li}, TITLE = {Modeling and Solution for Gas Penetration of Gas-Assisted Injection Molding Based on Perturbation Method}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {46}, YEAR = {2009}, NUMBER = {3}, PAGES = {209--220}, URL = {http://www.techscience.com/CMES/v46n3/25349}, ISSN = {1526-1506}, ABSTRACT = {Gas-assisted injection molding is an innovative process to manufacture hollow polymeric products, in which gas penetration is the primary and key problem. An analytical solution of the gas penetration interface is presented, based on perturbation method. First, the governing equations and boundary conditions are transformed to be dimensionless, where Capillary number Ca is introduced. Then matching asymptotic expansion method is applied to solve these equations, by using Ca and as perturbation parameters to get the inner and outer solutions, respectively. By matching these two solutions, the analytical model of gas penetration is obtained.}, DOI = {10.3970/cmes.2009.046.209} }