Bernoullis PrincipleBernoullis Principle. Great idea isnt it?1Fluids

Bernoullis Principle Applications of Bernoullis Principle Law of Continuity Life of Daniel Bernoulli

Each learner is expected to know these after the presentation2

Born of a family of leading mathematicians

Spent most of his life dedicated to Basel University

Hydrodynamica, published in 1738, was a milestone in the theory of the flowing behavior of liquids

Died on March 17, 1782 in Basel, Switzerland; won 10 prizes of the Paris Academy of Sciences, with Euler.

It would be better for the true physics if there were no mathematicians on earth.~ Daniel Bernoulli

3Has zero viscosity (no resistance to motion)

Incompressible (density remains constant)

Laminar flow:

fluid travels smoothly or in regular paths

velocity, pressure, and other flow properties at each point in the fluid remain constant.Occurs when waters flow smoothly, wind blows gently, etc.

The flow in the lava is not completely laminar but if we focus on the boxed area, we can assume its a laminar one.5Turbulent flow:

Fluid travels in unsteady, irregular and unpredictable mannerOften occurs when it passes over obstacles, creating whirlpools and eddiesE.g. : blood flow, riverbanks, etc.

Obstacles. Just great.Riverbanks in the sense that there are rocks that would make the flow a turbulent one6The Law of Continuity

faster speedslower speedmore pressureless pressureNo change in height, then: P + v2 = constantP+ gy + v2 = constantBernoullis Principle is applicable to cases where:Flow is laminar

Law of Continuity holds true if:Substance referred to are fluids since they are incompressible.

AIRFOILOn top: greater air speed and less air pressureOn bottom: less air speed and more air pressure

Spoiler airfoil reversedgreater air speed; less pressureless air speed; more pressurenet force: downward

RacecarSpoiler provides better tractionand avoids lift17Curved Ball

The rotation of this ball is caused by the air pressure. It moves from an area of lower pressure to an area of higher pressure. If there is no difference in the air pressure then the ball would not spin (since velocities in the upper and lower part of the ball is equal).

18 It is simply two equations of work equated to each other and applied to fluids but involves numerous process.

~ Work = Force x distance ~ Work = Energy = K.E. + P.E. grav

Derivation:Wext. = K.E. + P.E.grav

V = Ad = Avt V = Rt

(m = V)

P.E. = mgh = Vg (h1 h2) = Rtg(h1 h2)

Wext. = K.E. + P.E.grav

V = Ad = Avt V = Rt

(m = V)

Wsys = F * d = - PAd = - PAvt = - PRt = - (P2 P1)Rt = (P1 P2) Rt

(Force = P * A)

d = vt

- sign means work is done by system

You may now blame Bernoulli for your umbrella misfortune.

Created by:Earl &uzelFourth Year Einsteinhttp://abyss.uoregon.edu/~js/glossary/laminar_flow.htmlhttp://www.if.ufrj.br/~coelho/Newman/Newman08.pdfhttp://www.aplusphysics.com/courses/honors/fluids/Bernoulli.htmlhttp://www.aplusphysics.com/courses/honors/fluids/continuity.htmlhttps://www.boundless.com/physics/fluids/fluids-in-motion/flow-rate-and-the-equation-of-continuity/http://www.slideshare.net/vyvianleow/bernoullis-principle-22117891

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