On firework blasts and qualitative parameter dependency.

Area of Science:

• Physics
• Engineering
• Combustion Science

Background:

• Fireworks involve complex explosive events.
• Understanding blast dynamics is crucial for safety and design.
• Previous models may lack detailed trajectory analysis.

Purpose of the Study:

• To develop a mathematical model for simulating firework blast time-evolution.
• To estimate blast radius based on detonation energy and pyrotechnic material.
• To identify key parameters influencing the blast envelope.

Main Methods:

• Developed a mathematical model balancing blast pulse energy and kinetic energy.
• Computed material trajectory considering air drag, gravity, and buoyancy.
• Solved the model analytically under simplifying assumptions.

Main Results:

• The model qualitatively simulates blast progression.
• Estimates blast radius as a function of energy and material.
• Identified key parameters controlling the blast envelope.

Conclusions:

• The developed model provides a framework for analyzing firework blast phenomena.
• Analytical solutions offer insights into parameter influence.
• The model can guide the design and safety assessment of pyrotechnic devices.