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Electrospinning Whip Growth-Rate Field

2D linear-stability field simulation of the electrospinning whipping instability: a finite-difference growth-rate PDE (destabilising Coulomb term vs. stabilising bending/elastic term) evolved on a spacetime grid from nozzle to collector, with a live dispersion-relation plot of the fastest-growing wavelength.

Engineering & Materials2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

This companion simulator recasts the electrospinning whipping instability as a 2D spacetime field problem instead of a 3D particle chain. A linear-stability PDE for the jet's lateral displacement amplitude — destabilised by Coulomb self-repulsion, stabilised by bending/elastic resistance, damped by viscous drag and advected downstream by the flow — is integrated on a finite-difference grid running from the Taylor cone to the collector. The scrolling spacetime map shows exactly where and when the whip amplitude grows fastest, while a live dispersion-relation plot exposes the single fastest-growing wavelength predicted by the underlying math. Adjust field, charge, stiffness and flow rate to see the growth-rate spectrum shift in real time.

⚙ Under the hood

A 2D linear-stability field simulation of the electrospinning whipping instability: a finite-difference growth-rate PDE — destabilising Coulomb self-repulsion versus stabilising bending/elastic resistance — is evolved on a spacetime grid from the Taylor cone to the collector, alongside a live dispersion-relation plot that reveals the single fastest-growing wavelength predicted by the underlying math.

electrospinningnanofiberfluid-instabilitylinear-stabilitydispersion-relationelectrohydrodynamicsmaterials-science

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install