Proving Bernoulli's Equation at Home(1)

Tools: Ping-pong ball, Hairdryer, Paper, Tape

Introduction:
Bernoulli’s equation describes the flow of ideal fluid.
This innovative equation helps us to predict the motion of real fluids such as air and water.
It is well known that when velocity of the fluid increases, pressure decreases to keep the balance in any part of the fluid.
We can prove the equation by the following two experiments by using only simple home materials.

Experiment 1: Hairdryer and Ping-pong Ball
Procedure:
1. Place a ping-pong ball on top of a hairdryer.

2. Turn the hairdryer on with the ping-pong ball at the top and observe.


Observation:
When the air was not coming out, it was difficult to balance the ball on the top of the hairdryer. Although the ball had variation in its positions, the ball did not fall from the top when the cool air blew out from the hairdryer. The ball was being balanced by the air.

Discussion:
The phenomenal can be explained through the delineation below.



The equation above is the Bernoulli’s equation.
It shows that when the velocity increases, pressure decreases, and vice versa.
On the depiction, vertical arrows indicate the velocity magnitude.
Horizontal arrows depict the magnitude of the pressure.
The picture on the left shows the ball’s instantaneously unstable position on the left side of the hairdryer.
The velocity on the right side of the ball instantly increases when the ball is on the left side of top of the hairdryer.
Consequently, the pressure on the left side increases which pushes the ball to the center or the right direction.
The same sequence occurs on the right side.
In conclusion, due to the restoring force to the ball, the ball can maintain its position around the center of the exit of the dryer.

I give thanks and partial credit to my father who advised me and helped me with the experiments.