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Understanding Fluid Statics: Equations, Forces, and Buoyancy

Delve into the basic equations of fluid statics, pressure variations, hydrostatic force on submerged surfaces, buoyancy principles, and practical applications. Explore the relationship between pressure, forces, and buoyant forces in incompressible and compressible fluids.

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Understanding Fluid Statics: Equations, Forces, and Buoyancy

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Presentation Transcript

  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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