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Blasius flat-plate boundary layer, solved in your browser

This page computes the wall shear of the laminar flat-plate boundary layer, the constant f''(0) in the Blasius similarity solution. It runs deterministically in your browser with no install, so a researcher can reproduce the canonical value on the spot and use GDBS as a bridge to full Navier-Stokes HPC.

f''(0) = 0.4696 +/- 0.002   Verified

An independent RK4 + bisection shooting solve of f''' + f f'' = 0 gives the wall shear f''(0) = 0.4696 +/- 0.002, matching the published Blasius value. Not a lookup.

Method

The Blasius similarity equation f''' + f f'' = 0 is integrated with a fourth-order Runge-Kutta (RK4) scheme. The unknown wall curvature f''(0) is found by a bisection shooting method that adjusts the initial slope until the far-field condition is satisfied. This is an independent numerical solve, not a tabulated lookup.

Honest scope

This is a 1D similarity-equation solve of the laminar flat-plate boundary layer. It is a verification harness and a bridge to full Navier-Stokes HPC, not a replacement for it.

Reference

Reproduce it

The solve is deterministic and runs entirely in your browser.

Open boundary-layer fluids in GDBS See the full validation table