This example illustrates the solution to the coupled flow/solid mechanics problem. An eleven-element (linear in polar-cylindrical coordinate system) asymmetric coronary mesh is embedded within a homogeneous Mooney Rivlin cylinder with finite wall thickness. The cylinder is inflated and subject to an axial compressive force in the Z-direction in steps over a period of 0.005s. The transient flow equations are solved incorporating the additional force exerted on the embedded vessels walls due to the deformation of the cylinder. The fluid flow pressure at the inlet of the network is increased from 10.6 - 14.6 kPa linearly over the same period while the pressure at the exit or distal ends of all the daughter links are maintained constant at 10.6 kPa. For the theory and further details of this problem, see section 5.4 of the PhD thesis "Coronary flow mechanics" by N.P.Smith.

Simulation of coupled flow/solid mechanics