Single-Phase Transient in Single-Elbow Pipe

Mathematical and numerical model needed for description of single-elbow pipe movement in horizontal Z-Y plane coupled with one-dimensional single-phase fluid dynamics is described and discussed. The governing phenomenon is also known as two-way Fluid-Structure Interaction. Standard Skalak’s four-equation model was improved with additional four Timoshenko’s beam equations for description of flexural displacements and rotations. The applied model was solved with improved second-order accurate numerical method that is based on Godounov’s upwind first-order accurate method. The model was successfully used for simulation of the rod impact induced transient and conventional instantaneous valve closure induced transient in the tank-pipe-valve system. Special attention was made to the applicability of the applied numerical method.