Introduction to Fluid Mechanics Chapter 3 Fluid Statics

Main Topics ü The Basic Equations of Fluid Statics ü Pressure Variation in a

The Basic Equations of Fluid Statics ü Body Force © Fox, Pritchard, & Mc.

The Basic Equations of Fluid Statics ü Surface Force © Fox, Pritchard, & Mc.

The Basic Equations of Fluid Statics ü Total Force © Fox, Pritchard, & Mc.

The Basic Equations of Fluid Statics ü Newton’s Second Law © Fox, Pritchard, &

The Basic Equations of Fluid Statics ü Pressure-Height Relation © Fox, Pritchard, & Mc.

Pressure Variation in a Static Fluid ü Incompressible Fluid: Manometers © Fox, Pritchard, &

Pressure Variation in a Static Fluid ü Compressible Fluid: Ideal Gas Need additional information,

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface © Fox, Pritchard, & Mc.

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface We can find FR, and

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface • Algebraic Equations – Total

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface • Algebraic Equations – Net

Hydrostatic Force on Submerged Surfaces ü Curved Submerged Surface © Fox, Pritchard, & Mc.

Hydrostatic Force on Submerged Surfaces ü Curved Submerged Surface • Horizontal Force = Equivalent

Buoyancy For example, for a hot air balloon (Example 3. 8): © Fox, Pritchard,

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

Main Topics ü The Basic Equations of Fluid Statics ü Pressure Variation in a Static Fluid ü Hydrostatic Force on Submerged Surfaces ü Buoyancy © Fox, Pritchard, & Mc. Donald

The Basic Equations of Fluid Statics ü Body Force © Fox, Pritchard, & Mc. Donald

The Basic Equations of Fluid Statics ü Surface Force © Fox, Pritchard, & Mc. Donald

The Basic Equations of Fluid Statics ü Total Force © Fox, Pritchard, & Mc. Donald

The Basic Equations of Fluid Statics ü Newton’s Second Law © Fox, Pritchard, & Mc. Donald

The Basic Equations of Fluid Statics ü Pressure-Height Relation © Fox, Pritchard, & Mc. Donald

Pressure Variation in a Static Fluid ü Incompressible Fluid: Manometers © Fox, Pritchard, & Mc. Donald

Pressure Variation in a Static Fluid ü Compressible Fluid: Ideal Gas Need additional information, e. g. , T(z) for atmosphere © Fox, Pritchard, & Mc. Donald

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface We can find FR, and y´ and x´, by integrating, or … © Fox, Pritchard, & Mc. Donald

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface • Algebraic Equations – Total Pressure Force © Fox, Pritchard, & Mc. Donald

Hydrostatic Force on Submerged Surfaces ü Plane Submerged Surface • Algebraic Equations – Net Pressure Force © Fox, Pritchard, & Mc. Donald

Hydrostatic Force on Submerged Surfaces ü Curved Submerged Surface • Horizontal Force = Equivalent Vertical Plane Force • Vertical Force = Weight of Fluid Directly Above (+ Free Surface Pressure Force) © Fox, Pritchard, & Mc. Donald