Introduction to Fluid Mechanics

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Presentation transcript:

Introduction to Fluid Mechanics Chapter 3 Fluid Statics

Main Topics The Basic Equations of Fluid Statics Pressure Variation in a Static Fluid Hydrostatic Force on Submerged Surfaces Buoyancy

The Basic Equations of Fluid Statics Body Force

The Basic Equations of Fluid Statics Surface Force

The Basic Equations of Fluid Statics Surface Force

The Basic Equations of Fluid Statics Surface Force

The Basic Equations of Fluid Statics Total Force

The Basic Equations of Fluid Statics Newton’s Second Law

The Basic Equations of Fluid Statics Pressure-Height Relation

Pressure Variation in a Static Fluid Incompressible Fluid: Manometers

Pressure Variation in a Static Fluid Compressible Fluid: Ideal Gas Need additional information, e.g., T(z) for atmosphere

Hydrostatic Force on Submerged Surfaces Plane Submerged Surface

Hydrostatic Force on Submerged Surfaces Plane Submerged Surface We can find FR, and y´ and x´, by integrating, or …

Hydrostatic Force on Submerged Surfaces Plane Submerged Surface Algebraic Equations – Total Pressure Force

Hydrostatic Force on Submerged Surfaces Plane Submerged Surface Algebraic Equations – Net Pressure Force

Hydrostatic Force on Submerged Surfaces Curved Submerged Surface

Hydrostatic Force on Submerged Surfaces Curved Submerged Surface Horizontal Force = Equivalent Vertical Plane Force Vertical Force = Weight of Fluid Directly Above (+ Free Surface Pressure Force)

Buoyancy

For example, for a hot air balloon (Example Problem 3.8): Buoyancy For example, for a hot air balloon (Example Problem 3.8):

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