17.7
A fire extinguisher uses pressurized water to generate a powerful stream through a nozzle.
The water inside is stored at a much higher pressure than the surrounding atmosphere, forcing the water to flow when the extinguisher is activated.
Fluid dynamics equations are applied to determine how fast the water exits the nozzle and how much is expelled over time.
The first step involves understanding the pressure difference between the interior of the extinguisher and the pressure outside the nozzle.
This pressure difference drives the water's movement. By applying Bernoulli's equation, which relates pressure and velocity, the velocity of the water as it exits the nozzle is calculated.
The smaller nozzle diameter causes the water to accelerate as it leaves, transforming pressure into velocity.
After calculating the exit velocity, the flow rate is determined. The flow rate is calculated using the continuity equation, which ensures that the amount of water flowing through the nozzle is consistent.
The flow rate is calculated by multiplying the velocity of water by the nozzle's cross-sectional area.
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