Viscoelastic Fluid — Oldroyd-B Polymer
Polymer stress tensor dynamics: τ/λ + (τ·∇v + ∇vᵀ·τ) = 2ηₚ/λ · D
Parameters
Weissenberg Wi:
1.0
Viscosity ratio β:
0.5
Flow type:
shear
Reynolds Re:
1.0
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Wi (Weissenberg):
1.0
Normal stress N₁:
—
Viscosity ratio:
0.5
Elastic energy:
—
Oldroyd-B model
: Maxwell fluid with solvent viscosity. Polymer dumbbells stretch in flow.
Wi = λ·γ̇ (relaxation × shear rate). Wi≫1 → large normal stresses → elastic turbulence.
Colors show |τ| stress magnitude. Ellipses show polymer conformation tensor C.