Global solution algorithm with some assisting techniques for modeling of unsteady flow in centrifuge cascade pipe network

In this work, global solution approach for mathematical model consisting of set of hyperbolic partial, ordinary differential and algebraic equations o f unsteady flow in a complex heterogeneous pipe network have been presented . The pipe network contains buffer tanks, valves, bends, pipe junctions, de ad volumes and centrifuge machines connected in multiple closed loops. The mathematical model takes into account very low pressures in the centrifuge system and various flow regimes encountered therein. The differencing of th e Hyperbolic partial differential equations (PDEs) is carried out with the help of Crank-Nicklson and fully implicit methods. The computational algori thm for solving the system of resulting equations exploits the sparsity of the generated matrix. Some new techniques are developed and the existing te chniques have been improved for the faster convergence and lesser computer storage requirements. (C) 1999 Elsevier Science S.A. All rights reserved.