One Integral Read as 0.1406 and 56.91 — Torsion Stress Function and Duct Laminar Flow
·9 min read
A square bar's torsion constant and a square duct's f·Re are one Poisson solution read twice. One linear-triangle FEM run gives both handbook numbers.
Dean Flow: Analytical Solution and CFD Validation for Helical Pipe Flow
·5 min read
At Re_d = 10000 and a coil radius of 2.3 m the Dean number is about 510, well outside the small-De perturbation used for the stream function.
Poiseuille Flow: Analytical Solution Derivation and Finite Difference Validation
·5 min read
At h = G = μ = 1 the centerline speed is 1/2 and the flow rate is 2/3. FD L2 starts at 2.78e-16 and never leaves roundoff, so ~2.0 is not a measured order.