Abstract
Based on the Bernoulli’s equation Fischer and Boettcher (2021) developed a model to predict the transient gas discharge from a vessel. Their dimensionless number was able to capture a variation of the molar mass, temperature, vessel volume and opening diameter and showed constant values for these. The influence of the gas, though, could not be completely captured. In this work we improve the model by optimizing the pressure loss coefficient, modifying the dimensionless number and solving the differential equation for determining the pressure over time using the 4th-order Runge-Kutta method. The model was extended to include the influence of the ambient pressure. These improvements lead to the first similarity correlation valid for arbitrary gases. Multiple numerical simulations are performed with ANSYS CFX to verify the similarity model. A grid independence study showed differences below 1 %. The mean deviation between the numerical simulation and the similarity-model is 1.939 %.
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