── Stokes only (exp decay)
── With Basset (t⁻¹/² tail)
── t⁻¹/² reference
Stokes: v(t) = v₀ exp(−γt)
Basset: slower algebraic decay
∝ t⁻¹/² for large t
Boussinesq-Basset (1885): particle acceleration in fluid involves not just instantaneous drag but a convolution integral over past velocity history. The kernel t⁻¹/² comes from the diffusion of vorticity in the fluid.
BBO equation: m·dv/dt = −γv − β∫₀ᵗ (t−s)⁻¹/² dv/ds ds
This history effect matters for small particles, bubbles, sediment transport.
BBO equation: m·dv/dt = −γv − β∫₀ᵗ (t−s)⁻¹/² dv/ds ds
This history effect matters for small particles, bubbles, sediment transport.