# Bubble Hydrodynamics: Find Numerical Solution to Air Bubble at 20m Depth

• Sajmon
In summary, a diver at a depth of 20 m below the water breathes 1 liter of air. As the bubble rises, pressure on it decreases, causing its volume to increase and bouncy force to increase. This leads to an increase in the bubble's velocity. To find the volume of the bubble at a depth of 5 m, the constant temperature of 20° C can be used with the equation P1V1 = P2V2. The velocity and acceleration of the bubble can be found by calculating the net force on the bubble, which is the weight of the displaced water. The weight of the bubble itself is negligible compared to the weight of the displaced water. However, the values for velocity and acceleration are
Sajmon
Diver at a depth of 20 m below the water breaths 1 liter of air. With what acceleration the air bubble begins to move against the surface ,how his speed varies with time and what is its volume at a depth of 5 m? The water temperature is 20° C. Part of a solution will be need to find numerically.

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As the bubble rises, pressure on it decreases. Volume increases.
Bouncy force on the bubble depends on the displaced liquid. As bubble rises volume increases, bouncy force increases. Hence the velocity of the bubble increases.
Since temperature of the water remains constant, you can find the volume at 5 m by using P1V1 = P2V2. Here P1 and P2 are the total pressure at 20m and 5 m.

But, how do you get velocity of a bubble?

Nobody knows how you get a velocity and acceleration of a bubble?

Part of a solution will be need to find numerically

So they are not expecting the values of velocity and accceleration.
If you want you can find out, net force on the bubble is the weight of the displaced water which is not constant. Weight of the bubble is negligible compared to the weight of the displaced liquid. You can find the weight of the bubble at the depth of 5 m by knowing the volume and density of the air at 20 degree C. Now see whether you can proceed.

## What is bubble hydrodynamics?

Bubble hydrodynamics is the study of the behavior of air bubbles in water, including their movement, interactions with other bubbles, and the forces acting upon them.

## Why is it important to find a numerical solution to air bubbles at 20m depth?

Finding a numerical solution allows us to accurately predict the behavior of air bubbles at a specific depth, which is crucial for various industries such as marine engineering, oil and gas exploration, and underwater construction.

## What factors affect the movement of air bubbles at 20m depth?

The movement of air bubbles at 20m depth is affected by factors such as water temperature, pressure, salinity, and the size and shape of the bubble itself.

## How is a numerical solution for air bubbles at 20m depth calculated?

A numerical solution for air bubbles at 20m depth is typically calculated using computational fluid dynamics (CFD) techniques, which involve solving complex mathematical equations to simulate the behavior of the bubbles in a digital environment.

## What are the potential applications of studying bubble hydrodynamics?

Studying bubble hydrodynamics has numerous practical applications, including improving the efficiency of underwater vehicles, optimizing oil and gas extraction processes, and understanding the effects of bubbles on marine ecosystems.

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