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Sahithyan's S1 -- Fluid Mechanics

Fluid Dynamics

Flow

Motion with relative movement between fluid particles where continuous deformation happens.

Classification of fluid flow

Density

Incompressible

Density doesn’t vary significantly.

Examples:

  • Pipe and channel flows of liquids
  • Gas flows in pipes

Compressible

Density varies significantly.

Examples:

  • Pressure surges in pipes

Viscosity

Non-viscous

Fluid doesn’t show any resistance to the flow.

Viscous

Fluid shows any resistance to the flow.

  • Newtonian: Examples: Water
  • Non-newtonian: Examples: Paints, Clay, Plastics

Variation of parameters

The parameters:

  • Velocity
  • Pressure
  • Flow rate

Temporal Variation

The variation of the parameters with time.

  • Steady: no variation with time
  • Unsteady: variation of flow parameters with time

Spatial Variation

The variation of the parameters with coordinates.

  • Uniform: no variation with spatial parameters
  • Non-uniform: spatial variation of flow parameters

Dimensional

If a variation of flow parameter in a certain direction can be neglected, that can reduce the calculations.

Nature of movement

  • Laminar: Fluid particles move in a orderly fashion
  • Turbulent: Fluid particles move disorderly

Rotation of particles

  • Rotational: Usually due to shear forces. Flow of real fluids.
  • Non-rotational: Flow of frictionless forces.

Flow patterns

Streamline

A line tangential to the flow velocity.

Streamtube

A passage enclosed by a collection of streamlines.

Pathline

Path traced by an individual fluid particle.

Streakline

Suppose a dye is injected into a fluid flow. Streakline indicates the positions of all particles passed through the point of injection.