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