ONE DIMENSIONAL VAPOR BUBBLE GROWTH MODEL FOR STEADY AND UNSTEADY PRESSURE FIELDS
There is renewed interest in bubble growth models towards developing better models for cavitation prediction using CFD (Computational Fluid Dynamics) tools. Most bubble growth models in a uniformly superheated and unsteady liquid pressure field that are available in the literature make use of various simplifications that either limit the scope of the model over specific regions of bubble growth or achieve only partial agreement with experimental data. This paper follows a fundamental approach to model bubble growth in a quiescent uniformly superheated liquid for an unsteady pressure field using mass conservation of the bubble, momentum and energy conservation of the liquid and the energy conservation at the bubble interface where the changes in the bubble radius due to the physical process of evaporation at the bubble liquid interface is additionally considered as compared to other researchers. The energy equation for the liquid which is a moving boundary evaporation problem is solved in a Lagrangian framework. The model is also extended to steady pressure fields. The numerical results are in fair agreement with a wide range of experimental and numerical data from previous research and fare better as compared to bubble growth models from various researchers available in the literature including the bubble growth models used in homogeneous mixture models for cavitation. The range of validity and implications of various simplified bubble growth models will also be discussed.