## Daniel Bernoulli, Entraining EXAIR Products

Daniel Bernoulli was born February 8, 1700 in Groningen in the Netherlands and was the son of Johann Bernoulli an early developer of calculus. It is believed that Daniel did not have a good relationship with his father. This mainly stemmed from the both of them entering the same scientific contest at the University of Paris. The two tied and his father Johann took exception to being compared to his son as “equal” and could not accept the shame and banned Daniel from his home. Daniel tried to reconcile their difference but his father carried this grudge to his death.

Earlier in Daniels life his father convinced Daniel to study business as there was no income incentive to study mathematics but against his will Daniel did choose the study of business. His father then convinced Daniel to study medicine but Daniel still wanted to study mathematics and agreed to study medicine under the condition that his dad teach him mathematics privately. Daniel completed his bachelors degree at the age of 15 and his masters degree when he was 17. Daniel then went on to study medicine and received his PhD in anatomy and botany from the Universities of Basel, Heidelberg and Strasbourg.

Daniel Bernoulli was very accomplished but mostly known for Bernoulli’s principle. Bernoulli’s principle is the relationship between fluid speed and pressure. An increase in the speed of a fluid will occur simultaneously with a decrease in the fluid’s pressure or potential energy. The Venturi effect, published in 1797 by Giovanni Venturi, applies Bernoulli’s principle to a fluid that flows through a tube with a constriction in it. The Venturi tube provides a handy method for mixing fluids or gases, and is popular in carburetors and atomizers, which use the low pressure region generated at the constriction to pull the liquid into the gas flow. It also offers a particularly clear example of the Bernoulli principle.

For example, above is how a Super Air Wipe works. Compressed air flows through an inlet (1) of the Air Wipe into an annular chamber (2). It is then throttled through a small ring nozzle (3) at high velocity. This primary airstream adheres to the Coanda profile (4), which directs it down the angled surface of the Air Wipe. A low pressure area is created at the center (5) inducing a high volume flow of surrounding air into the primary airstream. As the airflow leaves the Air Wipe, it creates a conical 360° ring of air that attaches itself to the surface of the material running through it (6), uniformly wiping the entire surface with the high velocity airflow.

EXAIR incorporates the Bernoulli Principle with our engineered products which entrain air such as our Super Air Knives, Super Air Wipes, Air Amplifiers and Static Eliminating products to name a few. We have several Applications Engineers that will appreciate your call to discuss our products. If you have an application or question please call 800.903.9247 or visit us on our website www,EXAIR,com and let us help you.

Eric Kuhnash
Application Engineer
E-mail: EricKuhnash@exair.com