02.05A · Cours 5 — Mécanique des fluides

Course 5 — Fluid mechanics

1. Physique · 38 pages

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Fluid Mechanics

1Fluid Mechanics

2Exercise: Nail vs Hammer 3Definition and Units 4Exercise: Deflated Ball 5Absolute vs Gauge Pressure 6Atmospheric Pressure 7Atmospheric Pressure (cont.)

Hydrostatic Pressure

8Pressure in a Fluid Column 9Pressure in a Fluid Column (cont.)10Exercise: Tilted Tube 11Exercise: Tilted Tube (cont.)12Example: Scuba Diving 13Example: Mercury Barometer 14Example: Blood Pressure & Position 15Example: IV Infusion Height

Archimedes' Buoyant Force

16Derivation from Pressure Difference 17Laboratory Demonstration

Flow Rate & Continuity

18Flow Rate Definition 19Continuity Equation 20Exercise: Aorta vs Capillaries 21Example: Capillaries vs Aorta 22Steady Flow Definition 23Steady Flow & Continuity Limits 24Exercise: Continuity Implications

Bernoulli's Equation

25Pressure–Velocity Trade-off 26Full Bernoulli Equation 27Exercise: Plates & Air Flow 28Exercise: Plates & Air Flow (cont.)29Example: Stenosis 30Application: Cardiac Ultrasound

Viscosity & Poiseuille's Law

31Viscosity Definition 32Viscosity Demonstration 33Poiseuille's Law 34Viscous Flow: Rate & Velocity

35Summary of Key Laws 36Application: Lung Perfusion

Laminar & Turbulent Flow

37Reynolds Number 38Example: Blood Pressure Measurement

02.05APage 1Fluid Mechanics

Cours 5 — Mécanique des fluides page 1

02.05APage 2Fluid MechanicsPressureExercise: Nail vs Hammer

Cours 5 — Mécanique des fluides page 2

02.05APage 3Fluid MechanicsPressureDefinition and Units

Cours 5 — Mécanique des fluides page 3

02.05APage 4Fluid MechanicsPressureExercise: Deflated Ball

Cours 5 — Mécanique des fluides page 4

02.05APage 5Fluid MechanicsPressureAbsolute vs Gauge Pressure

Cours 5 — Mécanique des fluides page 5

02.05APage 6Fluid MechanicsPressureAtmospheric Pressure

Cours 5 — Mécanique des fluides page 6

02.05APage 7Fluid MechanicsPressureAtmospheric Pressure (cont.)

Cours 5 — Mécanique des fluides page 7

02.05APage 8Fluid MechanicsHydrostatic PressurePressure in a Fluid Column

Cours 5 — Mécanique des fluides page 8

02.05APage 9Fluid MechanicsHydrostatic PressurePressure in a Fluid Column (cont.)

Cours 5 — Mécanique des fluides page 9

02.05APage 10Fluid MechanicsHydrostatic PressureExercise: Tilted Tube

Cours 5 — Mécanique des fluides page 10

02.05APage 11Fluid MechanicsHydrostatic PressureExercise: Tilted Tube (cont.)

Cours 5 — Mécanique des fluides page 11

02.05APage 12Fluid MechanicsHydrostatic PressureExample: Scuba Diving

Cours 5 — Mécanique des fluides page 12

02.05APage 13Fluid MechanicsHydrostatic PressureExample: Mercury Barometer

Cours 5 — Mécanique des fluides page 13

02.05APage 14Fluid MechanicsHydrostatic PressureExample: Blood Pressure & Position

Cours 5 — Mécanique des fluides page 14

02.05APage 15Fluid MechanicsHydrostatic PressureExample: IV Infusion Height

Cours 5 — Mécanique des fluides page 15

02.05APage 16Fluid MechanicsArchimedes' Buoyant ForceDerivation from Pressure Difference

Cours 5 — Mécanique des fluides page 16

02.05APage 17Fluid MechanicsArchimedes' Buoyant ForceLaboratory Demonstration

Cours 5 — Mécanique des fluides page 17

02.05APage 18Fluid MechanicsFlow Rate & ContinuityFlow Rate Definition

Cours 5 — Mécanique des fluides page 18

02.05APage 19Fluid MechanicsFlow Rate & ContinuityContinuity Equation

Cours 5 — Mécanique des fluides page 19

02.05APage 20Fluid MechanicsFlow Rate & ContinuityExercise: Aorta vs Capillaries

Cours 5 — Mécanique des fluides page 20

02.05APage 21Fluid MechanicsFlow Rate & ContinuityExample: Capillaries vs Aorta

Cours 5 — Mécanique des fluides page 21

02.05APage 22Fluid MechanicsFlow Rate & ContinuitySteady Flow Definition

Cours 5 — Mécanique des fluides page 22

02.05APage 23Fluid MechanicsFlow Rate & ContinuitySteady Flow & Continuity Limits

Cours 5 — Mécanique des fluides page 23

02.05APage 24Fluid MechanicsFlow Rate & ContinuityExercise: Continuity Implications

Cours 5 — Mécanique des fluides page 24

02.05APage 25Fluid MechanicsBernoulli's EquationPressure–Velocity Trade-off

Cours 5 — Mécanique des fluides page 25

02.05APage 26Fluid MechanicsBernoulli's EquationFull Bernoulli Equation

Cours 5 — Mécanique des fluides page 26

02.05APage 27Fluid MechanicsBernoulli's EquationExercise: Plates & Air Flow

Cours 5 — Mécanique des fluides page 27

02.05APage 28Fluid MechanicsBernoulli's EquationExercise: Plates & Air Flow (cont.)

Cours 5 — Mécanique des fluides page 28

02.05APage 29Fluid MechanicsBernoulli's EquationExample: Stenosis

Cours 5 — Mécanique des fluides page 29

02.05APage 30Fluid MechanicsBernoulli's EquationApplication: Cardiac Ultrasound

Cours 5 — Mécanique des fluides page 30

02.05APage 31Fluid MechanicsViscosity & Poiseuille's LawViscosity Definition

Cours 5 — Mécanique des fluides page 31

02.05APage 32Fluid MechanicsViscosity & Poiseuille's LawViscosity Demonstration

Cours 5 — Mécanique des fluides page 32

02.05APage 33Fluid MechanicsViscosity & Poiseuille's LawPoiseuille's Law

Cours 5 — Mécanique des fluides page 33

02.05APage 34Fluid MechanicsViscosity & Poiseuille's LawViscous Flow: Rate & Velocity

Cours 5 — Mécanique des fluides page 34

02.05APage 35Fluid MechanicsSummary of Key Laws

Cours 5 — Mécanique des fluides page 35

02.05APage 36Fluid MechanicsApplication: Lung Perfusion

Cours 5 — Mécanique des fluides page 36

02.05APage 37Fluid MechanicsLaminar & Turbulent FlowReynolds Number

Cours 5 — Mécanique des fluides page 37

02.05APage 38Fluid MechanicsLaminar & Turbulent FlowExample: Blood Pressure Measurement

Cours 5 — Mécanique des fluides page 38