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Daniel Bernoulli (1700- 1782) • Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands ) “Hydrodynamica, by Daniel Bernoulli, Son of Johann His dad tried to take credit for the book, renaming it “Hydraulica”, he later banned Daniel from his house

Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

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Page 1: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Daniel Bernoulli (1700-1782)

• Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands)

“Hydrodynamica, by Daniel Bernoulli, Son of Johann”

His dad tried to take credit for the book, renaming it “Hydraulica”, he later banned Daniel from his house

Page 2: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 3: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Bernoulli’s Principle• States that as the velocity of a fluid is

increased, the pressure exerted by that fluid is decreased.

Page 4: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Atomizers/Paint sprayers

Page 5: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 6: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 7: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Forces Within Fluids

• Surface Tension—Result of the cohesive (similar materials attracting) forces among the particles of a liquid, stronger at surface, forms a sort of “film”

• Capillary action—result of adhesion (dissimilar materials attracting) between water molecules and molecules of another material such as glass, or a paper towel.

Page 8: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Intermolecular forces not equally distributed on particle at surface

Overall, net downward force on particles at surface causes them to be slightly compressed, and act like a tightly stretched rubber sheet.

Page 10: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Concave Meniscus, as with water and glass

Convex meniscus, as with mercury and glass

Page 11: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Capillary Action—what is the relationship between diameter of tube and height of fluid?

Page 12: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

13.2 The Solid State

• There are three basic types of solids– Crystalline—having a structure where the

atoms, ions, or molecules are arranged in regular, 3-dimensional patterns

– Amorphous—having no particular structure– Composite—engineered solids made up of 2

or more solids with distinctly different properties

Page 13: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Crystalline solids

• The fixed pattern of arrangement is called the “Crystal Lattice”

Page 14: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Examples of three types of crystalline solids. Only part of the structure is shown in each case.

Page 16: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Composites• Composite materials are said to have two

phases.

• The reinforcing phase is the fibers, sheets, or particles that are embedded in the matrix phase.

• The reinforcing material and the matrix material can be metal, ceramic, or polymer.

• Typically, reinforcing materials are strong with low densities while the matrix is usually a ductile, or tough, material

Page 17: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Composites

• Some of the common classifications of composites are: – Reinforced plastics – Metal-matrix composites – Ceramic-matrix composites – Sandwich structures – Concrete

Page 18: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

CompositesSpaceship One

Concrete

Carbon fiber

Page 19: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Engineered I-beams, laminated

Oriented-Strand Board (OSB)

Page 20: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Elasticity in Solids

• Elasticity is the ability of a material to return to its original form when external forces are removed.

• If too much deformation occurs, the material may surpass its “elastic limit” and be permanently deformed.

Page 21: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Effects of Temperature Change on Solids

• As most solids cool, the particles get closer together, the solid contracts

• As most solids are heated, the particles get farther apart, the solid expands

• Water is the unusual solid…..as it begins to freeze, it actually will expand in volume, and as a result, will become less dense.

Page 22: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 23: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Bimetallic strip: made up of two different metals bonded to each other. Strip bends when heated because each metal will expand at its own rate. The strip bends away from the metal with the greatest expansion rate.

Page 24: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 25: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,
Page 26: Daniel Bernoulli (1700-1782) Swiss scientist with a “bad dad” (who was head of mathematics at nearby Groningen University in the Netherlands) “Hydrodynamica,

Volume Expansion