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PANSOPHIA microfluidics solver

In-house 2D/3D finite-element flow solver and Maxey-Riley particle tracer for inertial-microfluidics separation studies, with a validation dossier

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PANSOPHIA microfluidics solver

datasheet // microfluidics

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83 words · 1 min read
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topics
  • mfV validation ×10
  • transport and multiphysics ×3
  • solver demos ×2

Datasheet

  • Code: CFDCore.jl/src/microfluidics (26 Julia files, e.g. FlowSolver2D, StokesFlow, ParticleForces, ParticleTracer, InertialFocusing, FieldSampler, TopologyOpt, SlipFlow, TaylorDispersion, Electrokinetics, ElectroThermal).
  • paper/mf_solver.pdf (12 pages): Taylor-Hood P2/P1 Navier-Stokes solver on Gridap.jl, Maxey-Riley force model, validation against closed-form solutions, the Schaefer-Turek DFG 2D-1 benchmark, the Gartling backward-facing step and the Ghia lid-driven cavity; two unresolved discrepancies are reported in its abstract.
  • paper/mf_validation_dossier.pdf: 80 pages.
  • mfV figures: pipe flow vs Hagen-Poiseuille, Segre-Silberberg migration, Dean intensity, four-vortex miss, Brinkman exact profiles, Brinkman vs body-fitted, dissipated-power identity, gradient vs finite differences.
Dean secondary-flow intensity scaling Explain Microfluidics
Four-vortex transition probe: not reproduced by this model (disclosed miss) Explain Microfluidics
3D pipe flow compared with the exact Hagen-Poiseuille profile Explain Microfluidics
Segre-Silberberg tubular pinch: particles migrating from both directions Explain Microfluidics
Brinkman-channel exact solution profiles Explain Microfluidics
Brinkman penalization compared with a body-fitted mesh Explain Microfluidics
Dissipated-power identity check Explain Microfluidics
Analytic design-sensitivity gradient compared with finite differences Explain Microfluidics
Planar species dispersion at t = 1 s: concentration profile Explain Microfluidics
Micro-channel conjugate heat transfer: temperature field with fluid/solid interface Explain Microfluidics
Coupled Poisson-Nernst-Planck versus Poisson-Boltzmann: potential and ion concentration profiles Explain Microfluidics
Stokes flow in a stepped microchannel from the geometry gallery: velocity magnitude Explain Microfluidics
Slip flow at Kn = 0.05: analytic and numerical profile compared with no-slip Poiseuille Explain Microfluidics
DFG 3D-1Z benchmark: drag, lift and pressure drop versus mesh size against reference intervals Explain Microfluidics
3D manufactured-solution test: velocity and pressure L2 error versus mesh size Explain Microfluidics

How to recreate this plot

Watch

A short screen capture of the Math Visualization Studio. Each step is captioned in the clip.

Steps

  1. Open the controls panel
  2. Pick example 1: Laminar flow, a parabola
  3. Type the mean velocity V = 0.2 m/s
  4. Type the diameter D = 0.004 m
  5. Type the viscosity nu = 0.00001
Open the scene in the StudioRead the explanation

Code and PDF notes

Free of cost. I approve each request and reply by email.

To request the files, email me at and mention the item id. project-microfluidics

Documents