Calculation of the Existence Time of Bubbles in the Wave
摘要
In order to calculate the existence time of bubbles in the wave, differential equations of heat and mass transfer, velocity and radius of bubbles are established respectively, and a coupled model of bubbles floating in high temperature in wave is constructed by combining two-dimensional deep-water wave model. The Runge-Kutta method with variable step size is used to solve the numerical problem. Three laws of the bubble existence time in different initial states are obtained by simulation. First, the bubble is pulled by waves and its upward trajectory is spiral. The smaller the bubble radius has the longer of bubble existence time. Second, the higher of the initial temperature, the longer of bubble existence time is affected by the radius change. Thirdly, in still water and wave, the difference of bubble radius and average velocity is small, so that the existence time is basically the same. The model and conclusion take into account the influence of wave on the existence time of different bubbles in real sea conditions, and can be used as a theoretical basis for the research on the bubbles floating existence phenomenon.