Flow — ∇·v = 0, Re << 1

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Flow

∇·v = 0, Re << 1

Stokes flow — fluid so viscous that inertia is irrelevant. The system does not resist. It flows.

Motion without resistance, form without friction

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Dissolution — dm/dt = -kA(c_s - c)

Dissolution

dm/dt = -kA(c_s - c)

Melt — ρL(ds/dt) = k(∂T/∂n)

Melt

ρL(ds/dt) = k(∂T/∂n)

Settle — v_t = (2r²(ρ_p - ρ_f)g)/(9μ)

Settle

v_t = (2r²(ρ_p - ρ_f)g)/(9μ)

Shed — f(t) = f₀ · H(t₀ - t)

Shed

f(t) = f₀ · H(t₀ - t)