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Introduction to Fluid Mechanics

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.

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Introduction to Fluid Mechanics

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  1. Introduction to Fluid Mechanics Chapter 3 Fluid Statics

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

  3. The Basic Equationsof Fluid Statics • Body Force

  4. The Basic Equationsof Fluid Statics • Surface Force

  5. The Basic Equationsof Fluid Statics • Surface Force

  6. The Basic Equationsof Fluid Statics • Surface Force

  7. The Basic Equationsof Fluid Statics • Total Force

  8. The Basic Equationsof Fluid Statics • Newton’s Second Law

  9. The Basic Equationsof Fluid Statics • Pressure-Height Relation

  10. Pressure Variation in aStatic Fluid • Incompressible Fluid: Manometers

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

  12. Hydrostatic Force on Submerged Surfaces • Plane Submerged Surface

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

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

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

  16. Hydrostatic Force on Submerged Surfaces • Curved Submerged Surface

  17. 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)

  18. Buoyancy

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

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