Thermofluids - Fluid Properties & Intro to Statics

Fluid Properties: Viscosity

  • Viscosity is an intensive property, similar to friction, representing a fluid's resistance to flow.

  • Dynamic Viscosity: Symbol is μ (Mu), units are Pascal-seconds (Pa.s) or kg/(m.s).

Hydrostatics

  • Hydrostatics is the study of fluids at rest in stable equilibrium.

  • Pressure:

    • Scalar property defined as normal force per unit area (Pascals - Pa).

    • Increases with depth of immersion: P{abs} = P{atm} + ρgh, where ρ is density, g is gravity, and h is height.

    • Independent of container shape; constant on a horizontal plane within a fluid.

  • Pascal’s Law: Pressure applied to a confined fluid increases throughout the fluid by the same amount.

  • Pascal’s Machine: Hydraulic systems use cylinders of different areas to exert proportionally greater force

    • P1 = P2 → \frac{F1}{A1} = \frac{F2}{A2} → \frac{F2}{F1} = \frac{A2}{A1}.

Pressure Applications

  • Air Compressors: store pressurized air to drive kinetic energy devices like pneumatic tools.

  • Sandblasters: entrain particles into pressurized flows for surface preparation.

Buoyancy & Archimedes’ Principle

  • Buoyant Force: Upward force exerted by a fluid on an immersed object: Fb = ρ{fluid} g V_{obj}.