Pro Tier Module

Blasius / Falkner-Skan Boundary Layer

Shoot the Falkner-Skan ODE for wall shear and check it against the published Hartree table.

See it run - a worked example, 100% in this browser tab

The problem

Laminar wedge-flow boundary-layer parameters are tabulated in classic references, but recomputing and verifying them usually means a one-off ODE shoot in a separate tool.

The local-first solution

This plugin drives the real wasm engine to shoot the third-order Falkner-Skan ODE in the browser, returning the wall shear f''(0) and boundary-layer thicknesses, with the headline checked against the published Hartree table and the Blasius value.

What it does

Shooting solution of f''' + f f'' + beta(1 - f'^2) = 0 to convergence
Wall shear f''(0) for wedge angles from stagnation to incipient separation
99% thickness plus displacement and momentum thicknesses
Validation against the Hartree wedge table and Blasius f''(0) = 0.4696
True residual of the shot solution mapped to the trust verdict

Honest scope

This is the exact 1D similarity reduction of the 2D boundary-layer equations, valid only for the power-law external flow it assumes; real geometries with pressure-gradient history or separation past beta = -0.1988 are outside its validity. A verification harness and bridge to full Navier-Stokes HPC, not a replacement, and EXACT is never claimed for a shot ODE solution.

Authorities cited

Compute the wall shear

Run the similarity solve in the browser and save the validated result to Sandbox, attach it to a Worklog case, or route it into a Gate client portal. Nothing leaves your machine to anyone's cloud.

GDBS by VaultSync Solutions Inc. - Verifiable Computation. gdbs.getvaultsync.com