© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 3 Fluid Statics.

© Fox, Pritchard, & McDonald

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 Equationsof Fluid Statics

Body Force



Surface Force



Total Force



Newton’s Second Law



Pressure-Height Relation


Pressure Variation in aStatic Fluid

Incompressible Fluid: Manometers


Pressure Variation in aStatic Fluid

Compressible Fluid: Ideal Gas

Need additional information, e.g., T(z) for atmosphere



Plane Submerged Surface



Plane Submerged Surface

We can find FR, and y´ and x´,by integrating, or …



Plane Submerged Surface• Algebraic Equations – Total Pressure Force



Plane Submerged Surface• Algebraic Equations – Net Pressure Force



Curved Submerged Surface



Curved Submerged Surface• Horizontal Force = Equivalent Vertical Plane Force• Vertical Force = Weight of Fluid Directly Above

(+ Free Surface Pressure Force)


Buoyancy


Buoyancy

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

© Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 3 Fluid Statics.

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Transcript of © Fox, Pritchard, & McDonald Introduction to Fluid Mechanics Chapter 3 Fluid Statics.