© 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.
© Fox, Pritchard, & McDonald
Introduction to Fluid Mechanics
Chapter 3
Fluid Statics
© Fox, Pritchard, & McDonald
Main Topics
The Basic Equations of Fluid Statics
Pressure Variation in a Static Fluid
Hydrostatic Force on Submerged Surfaces
Buoyancy
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Body Force
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Surface Force
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Surface Force
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Surface Force
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Total Force
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Newton’s Second Law
© Fox, Pritchard, & McDonald
The Basic Equationsof Fluid Statics
Pressure-Height Relation
© Fox, Pritchard, & McDonald
Pressure Variation in aStatic Fluid
Incompressible Fluid: Manometers
© Fox, Pritchard, & McDonald
Pressure Variation in aStatic Fluid
Compressible Fluid: Ideal Gas
Need additional information, e.g., T(z) for atmosphere
© Fox, Pritchard, & McDonald
Hydrostatic Force on Submerged Surfaces
Plane Submerged Surface
© Fox, Pritchard, & McDonald
Hydrostatic Force on Submerged Surfaces
Plane Submerged Surface
We can find FR, and y´ and x´,by integrating, or …
© Fox, Pritchard, & McDonald
Hydrostatic Force on Submerged Surfaces
Plane Submerged Surface• Algebraic Equations – Total Pressure Force
© Fox, Pritchard, & McDonald
Hydrostatic Force on Submerged Surfaces
Plane Submerged Surface• Algebraic Equations – Net Pressure Force
© Fox, Pritchard, & McDonald
Hydrostatic Force on Submerged Surfaces
Curved Submerged Surface
© Fox, Pritchard, & McDonald
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)
© Fox, Pritchard, & McDonald
Buoyancy
© Fox, Pritchard, & McDonald
Buoyancy
For example, for a hot air balloon (Example 3.8):