Liquid Dynamics

Unit 1

Liquid Dynamics

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Table of Contents

Physics is matter based, applying the matter in F = ma into fluid dynamics called Navier-Stokes equations.

water

For example for whirlpools, the Navier-Stokes equation is du/dt + (u∇)u = -1/p ∇p + v∇^2u + f

  • du/dt is just the gradient (This is the acceleration part)
  • (u ∇) u is the directional speed of the fluid as whirlpool rotation (This is the mass part)
  • -1/p ∇p is internal pressure force (This is the force part)
  • v∇^2u is the internal friction
  • f is the external force like gravity

This works for typhoons in the short term, but not for the long term, as proven by typhoon models which change drastically.

This is because the Newtonian system does not account for the whirlpool as a complete system made up of 5 Elements.

For example, it only has 3 Elements:

  • 1/p ∇p and v∇^2u for material particles or material forces
  • f for space and electromagnetic particles or forces

It totally misses out the aether and conversion forces (weak force). Newton seems to have not accounted for the conversion force because he did no chemistry experiments. In contrast, Descartes did chemistry by being exposed to gunpowder and medicine in the European wars.

Alternative to Navier-Stokes

Since the liquidity of liquids come from the aether, we modify our gravitation equation to accomodate the nature of liquids by focusing on the aether as a pressure gradient focusing on density instead of mass.

F = G·∇ρ/r² + 3G·∇ρ·L²/(c²r⁴)

Where:

  • G·∇ρ/r² is the displacer — gravity (2nd element) pushing on density differences (4th element) across space
  • 3G·∇ρ·L²/(c²r⁴) is the rotater — the spin correction where L is now local vorticity (angular momentum of fluid parcels) rather than orbital angular momentum
  • The ratio L²/(c²r²) scales the spin by how relativistic the local rotation is — fast vortices get a stronger correction, which is exactly the turbulence cascade behaviour Navier-Stokes struggles to close

This density gradient automatically exposes:

  • Viscosity — because ∇ρ varies smoothly across the fluid, creating shear between layers of different density
  • Continuity — because ρ must be conserved: ∂ρ/∂t + ∇·(ρu) = 0
  • Self-advection — because a density gradient in a flowing field carries itself: the u·∇u term emerges naturally when matter particles drag each other through the aether

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