TY - JOUR
TI - 2 SOLUTION METHODS FOR HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS IN CHEMICAL-ENGINEERING
T2 - Chemical Engineering Science
VL - 46
IS - 8
SN - 0009-2509
SP - 3259-3267
PY - 1991
DO - 10.1016/0009-2509(91)85027-u
AU - Loureiro, J.
AU - Rodrigues, A.
AB - Hyperbolic systems of partial differential equations are found in modeling separation and reaction engineering problems. They can be divided into linear, semi-linear, quasi-linear and non-linear equations. In this paper two mathematical tools for the solution of PDEs: the numerical method of characteristics and Lax-Wendroff schemes are reviewed and applied to the solution of various problems: fixed-bed reactor for MTBE synthesis (system of semi-linear equations), separation of xylene isomers (reducible system of quasi-linear equations) and adsorptive reactors (non-reducible system of quasi-linear equations).
ER -