In this study, phase change model for predicting frost growth and model that is applied time acceleration technique to solve the computational cost problem were developed. The calculation was performed using FLUENT 19R2, and multiphase flow analysis was performed using Eulerian multiphase flow model to consider both humid air and ice phase. Frost formation was simulated through the source terms in the respective governing equation of humid air and ice phase. The mass of the phase change from water vapor to ice is calculated by the difference in the mass fraction of water vapor caused by the non-dimensional phase change driving force and is applied through a User-defined function(UDF). A frost prediction model with a time acceleration technique was developed through additional research to solve the model's computational cost drawback. Time acceleration is a technique that accelerates the relatively slow rate of ice formation. The time acceleration model was developed by defining the time acceleration factor τ and multiplying it by the source term of the ice phase continuity equation, taking into account the thermal equilibrium of each control volume. During the development process, the correction constant B regarding to the frost growth zone was derived according to acceleration factor, τ. As a results, not only the frost thickness and ice mass but also properties of the inside of the frost layer were agreed well. When the time acceleration technique was applied, the calculation time was significantly reduced. To verify the acceleration technique, ice mass and contours of volume fraction, temperature, velocity magnitude were compared with those with/without the time acceleration technique. Also when using the acceleration model, the computational time of the existing 31 days could be reduced to 4 days. in addition, the time acceleration model was applied to the actual heat exchanger for a feasibility test. Experiments were conducted to verify the validity of the model developed in this study and to analyze the characteristics of frost growth under various operating conditions. In addition, a wind tunnel was designed and manufactured to form a uniform flow, and experiments were performed in the environmental chamber to maintain constant external conditions. Frost visualization was performed using optical equipment such as CCD camera. These visualization results were quantified through image processing, and the ice mass was measured on a digital scale. The initial stage of frost formation was observed, and the characteristics of frost formation according to operating conditions such as inlet temperature and air velocity were analyzed. Also, the frost prediction CFD model was validated through the quantified frost thickness and ice mass which is the result of the experimental study. As a result, the experimental results and the numerical results were in good agreement. Therefore, the frost prediction model to which the time acceleration technique developed and verified in this study is applied effectively shortens the calculation time and can be utilized in various industrial fields such as evaporators and refrigerators. In addition, the technique of accelerating a relatively slow phenomenon through the time scale difference between two different phases is expected to be applicable to various models. In particular, a model that analyzes water evaporation is expected to be useful because there is a large difference in the time scale between evaporation and flow of water.