A Potential Flow Model for Fiber Geometry in Wood
Peder A. Tyvand · Physica Scripta · 1991
A three-dimensional potential flow model for fibers in wood is introduced. The local geometry in the vicinity of a knot is of basic interest. The flow is generated by dipole distributions. Streamlines are produced by numerical integration. Annual rings are represented by flow sheets. Annual ring patterns in a plank appear as the intersection curves of these sheets with a plane. The flow is approximated by slender body theory, which is standard in aerodynamics and ship hydrodynamics. A knot in the wood is modelled by a cone with apex in the centre of the trunk.