Airflow calculations for levitating a foam golf ball

In summary, the study explores the airflow dynamics required to levitate a foam golf ball using principles of fluid mechanics. It analyzes the necessary airflow speed and direction to create a stable air cushion that counteracts gravity, allowing the ball to float. The findings provide insights into the balance of forces involved and potential applications in sports technology and other fields.
  • #1
BAB
5
1
TL;DR Summary
Foam ball levitate
Im trying to find someone or a company who can do some calculations for me. I started with a fluid dynamics modeling company and they felt I would need a physics calculation.
I need to a foam golf ball to be picked up by a column of air and held in place at aprox 10” until it is knocked off the column then picked back up and again levitated at aprox 10”.
I need to know what the fan requirements would be.
The foam ball is 42.6-41.9 mm and 8.5-11 gm in weight.
 
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  • #2
Welcome to PF.

That is a complex system and will be difficult to design numerically from first principles. I think you will get a better estimate by experimenting with a real system.

The jet of air that will support the ball will have a flow rate and an exit diameter. The flow of the jet, turbulent or laminar, will be important, as will a glossy or mat surface on the ball. If the jet is to be increased, from zero flow, to a set flow, to lift the ball, then the ball must be stable on the jet throughout the process of increasing the flow.

The demonstration is usually done with a ping pong ball.
The ball sticks to the jet because of the Coanda effect.
https://en.wikipedia.org/wiki/Coandă_effect
 
  • #3
Baluncore said:
Welcome to PF.

That is a complex system and will be difficult to design numerically from first principles. I think you will get a better estimate by experimenting with a real system.

The jet of air that will support the ball will have a flow rate and an exit diameter. The flow of the jet, turbulent or laminar, will be important, as will a glossy or mat surface on the ball. If the jet is to be increased, from zero flow, to a set flow, to lift the ball, then the ball must be stable on the jet throughout the process of increasing the flow.

The demonstration is usually done with a ping pong ball.
The ball sticks to the jet because of the Coanda effect.
https://en.wikipedia.org/wiki/Coandă_effect
Thank you for the reply. I built this using a shop vac, obviously overkill, when I turned the shop vac on the first time it was so powerful it shot the ball several feet into the air. I was using pvc pipe so I put several vents in before I got the air flow low enough to perform as I needed.

I did buy a fan and motor initally, a squirrel cage type blower and it did not develop enough pressure? because when I tried a double blower of the same squirrel cage type it resulted in the same amount of lift.

The problem is I have no aproximation of the starting point. Motor/fan combos are expensive.

So how would I go about finding out the infomation I need? If I bought a motor fan combo and lets say it was too much. I could put that on a variable frequency drive but how would I arrive at the specs I need for the fan and motor without a vfd?
What I need is a person who can work with me to ovtain the info I need.

Thanks
Brian
 
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  • #4
BAB said:
Thank you for the reply. I built this using a shop vac, obviously overkill, when I turned the shop vac on the first time it was so powerful it shot the ball several feet into the air. I was using pvc pipe so I put several vents in before I got the air flow low enough to perform as I needed.
I did buy a fan and motor initally, a squirrel cage type blower and it did not develop enough pressure? because when I tried a double blower of the same squirrel cage type it resulted in the same amount of lift.
The problem is I have no aproximation of the starting point. Motor/fan combos are expensive.
So how would I go about finding out the infomation I need? If I bought a motor fan combo and lets say it was too much. I could put that on a variable frequency drive but how would I arrive at the specs I need for the fan and motor without a vfd?
What I need is a person who can work with me to ovtain the info I need.
Thanks
Brian
And to be clear Im not wanting this for free.
 
  • #5
BAB said:
I did buy a fan and motor initally, a squirrel cage type blower and it did not develop enough pressure? because when I tried a double blower of the same squirrel cage type it resulted in the same amount of lift.

The problem is I have no aproximation of the starting point. Motor/fan combos are expensive.
The experiment is usually done with a borrowed hair drier (cold), and a ping pong ball. Try a hair drier with a foam ball.

You need to change the diameter of the air jet, to match the pressure and flow rate of the blower. Find out if a straw, a tube, or a funnel, works better than a simple hole in a flat sheet.

You have not fully specified the environment or constraints on the solution. You will need to verify any numerical solution by experiment. Now is the time to experiment, not to buy a solution. A physicist, capable of solving the problem without experiment, will cost you several hair-driers or blowers per hour.
 
  • #6
Baluncore said:
The experiment is usually done with a borrowed hair drier (cold), and a ping pong ball. Try a hair drier with a foam ball.

You need to change the diameter of the air jet, to match the pressure and flow rate of the blower. Find out if a straw, a tube, or a funnel, works better than a simple hole in a flat sheet.

You have not fully specified the environment or constraints on the solution. You will need to verify any numerical solution by experiment. Now is the time to experiment, not to buy a solution. A physicist, capable of solving the problem without experiment, will cost you several hair-driers or blowers per hour.
I will proceed as you suggested. Thank you for the input.
Brian
 
  • #7
BAB said:
The foam ball is 42.6-41.9 mm and 8.5-11 gm in weight
So size is approximately that of a ping-pong ball but weight is 3 to four times higher.
Calculations (I get 15 m/s for your balls :smile:) aren't very useful, but at least give an order of magnitude.

I distinctly remember having fun with a home vacuum cleaner and ping pong ball sixty years ago and would have started experimenting (as @Baluncore so rightly suggested) but unfortunately only have a vac and no balls at hand.

'Foam' rings alarm bells (can't underpin or specify why...).

Is the application something like an aid for practicing softball ?

##\ ##
 
  • #8
BvU said:
So size is approximately that of a ping-pong ball but weight is 3 to four times higher.
Calculations (I get 15 m/s for your balls :smile:) aren't very useful, but at least give an order of magnitude.

I distinctly remember having fun with a home vacuum cleaner and ping pong ball sixty years ago and would have started experimenting (as @Baluncore so rightly suggested) but unfortunately only have a vac and no balls at hand.

'Foam' rings alarm bells (can't underpin or specify why...).

Is the application something like an aid for practicing softball ?

##\ ##
I work for a company that provides solutions for underserved markets. It will eventually go to market so thats all I can really say.
 
  • Informative
Likes BvU

FAQ: Airflow calculations for levitating a foam golf ball

What factors influence the airflow required to levitate a foam golf ball?

The primary factors influencing the airflow required to levitate a foam golf ball include the mass and size of the ball, the density and velocity of the air, and the shape and design of the levitation apparatus. The ball’s surface area and the air pressure difference created by the airflow are also crucial in achieving stable levitation.

How do you calculate the minimum airflow velocity needed to levitate a foam golf ball?

To calculate the minimum airflow velocity needed to levitate a foam golf ball, you can use Bernoulli's principle and the drag equation. First, determine the weight (mass times gravity) of the ball. Then, using the drag coefficient and the cross-sectional area of the ball, solve for the velocity that generates an upward force equal to the ball's weight. The equation is: \( F_d = \frac{1}{2} \rho v^2 C_d A \), where \( F_d \) is the drag force, \( \rho \) is the air density, \( v \) is the airflow velocity, \( C_d \) is the drag coefficient, and \( A \) is the cross-sectional area.

What role does the shape of the nozzle play in levitating a foam golf ball?

The shape of the nozzle is critical in directing the airflow uniformly around the foam golf ball to create a stable levitation. A well-designed nozzle ensures that the airflow is smooth and consistent, minimizing turbulence and providing a steady lift force. Conical or specially contoured nozzles are often used to achieve the desired airflow characteristics.

Can environmental factors affect the ability to levitate a foam golf ball?

Yes, environmental factors such as air temperature, humidity, and atmospheric pressure can affect the ability to levitate a foam golf ball. Changes in these factors can alter air density and viscosity, which in turn can influence the lift generated by the airflow. It is important to consider and possibly compensate for these variables when designing and operating a levitation system.

How can you stabilize the levitation of a foam golf ball?

Stabilizing the levitation of a foam golf ball can be achieved by ensuring a uniform and symmetrical airflow, minimizing external disturbances, and possibly using feedback control systems. Adjustments to the nozzle design, airflow velocity, and ball positioning can enhance stability. Additionally, some systems use sensors and automated controls to maintain the ball's position dynamically.

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