The empirical parameters, (m, n), in the Childs’ equations for the dynamic coefficients of liquid plain seals and gas labyrinth seals, based on bulk flow theory, are modified in this paper. Instead of treating the parameters (m, n) as constant values, optimal functions of pressure difference for the parameters (m, n) are obtained by least square error fitting to approach the target values computed from Fluent. The accuracy of the dynamic coefficients of seals is improved and closer to the results of Fluent, which help the user saving computational time and fast implementation in applications.