Simplified model of underwater electrical discharge

Area of Science:

• Physics
• Electrical Engineering

Background:

• Previous experimental research introduced phenomenological similarity parameters to predict underwater discharge behavior.
• The physical basis and derivation of these parameters were not fully understood.

Purpose of the Study:

• To develop a physical model for underwater discharge initiated by a wire.
• To reveal the nature of similarity parameters used in prior experimental research.
• To validate the model by comparing its predictions with experimental results.

Main Methods:

• Developed a model based on differential equations governing underwater wire-initiated discharge.
• Incorporated the energy conservation law for wire material evaporation.
• Included the dependence of plasma conductivity on dissipated energy to calculate time-varying discharge gap resistance.
• Normalized the differential equations to derive similarity parameters.

Main Results:

• The model demonstrates that similarity parameters naturally arise from the normalization of differential equations.
• Calculations based on the model show good agreement with experimental results when modified parameters are used.
• The derived similarity parameters are functions of the original parameters, preserving the law of similarity.

Conclusions:

• The presented model provides a theoretical foundation for understanding underwater discharge similarity parameters.
• Modified similarity parameters improve the accuracy of predicting underwater electrical discharge behavior.
• The study confirms the preservation of the law of similarity in underwater electrical discharges.