Derivation Applications of Bernoulli Principal

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An increase in velocity of the fluid results in a decrease in pressure

Bernoulli’s equation is an extension of F=ma for fluid flows and aerodynamics

Constant

Slide 12

How does a wing generate lift?

An imbalance of pressure over the top and bottom surfaces of the wing.

If the pressure above is lower than the pressure on bottom surface, lift is generated

Slide 13

Airplane Wing is curved on top

Slide 14

How does a curved wing generate lift?

Flow velocity over the top of wing is faster than over bottom surface

Air over wing is squashed to smaller cross-sectional area

Mass continuity rAV=constant, velocity must increase

Slide 15

high speed

low pressure

force

force

What happens when two ships or trucks pass alongside each other?

Slide 16

velocity increased

pressure decreased

low pressure

high

pressure

(patm)

VENTURI EFFECT

Slide 17

artery

External forces causes

artery to collapse

Flow speeds up at constriction

Pressure is lower

Internal force acting on artery wall is reduced

Arteriosclerosis and vascular flutter

Slide 18

References and links:

Bernoulli Activity:

http://mitchellscience.com/bernoulli_principle_discussion_nomath

Steve Spangler and Hydrogen Hexafluoride:

http://www.youtube.com/watch?v=GRLOgmmz_EU

Phet Colorado Fluid Pressure and Flow simulation:

http://phet.colorado.edu/en/simulation/fluid-pressure-and-flow

Types of Fluids: http://mechteacher.com/fluid/#ixzz2fcgGwLbq

Flowing Fluids,Laminar Flow and stream lines:

http://www.youtube.com/watch?v=_aWdeXby7CA