MIXED FINITE-DIFFERENCE/INTEGRAL TRANSFORM APPROACH FOR PARABOLIC-HYPERBOLIC PROBLEMS IN TRANSIENT FORCED CONVECTION

Abstract

The integral transform method is employed in conjunction -with second-order-accurate explicit finite-differences schemes, to handle accurately a class of parabolic-hyperbolic problems that appear in connection with transient forced convection inside ducts. The integral transformation process eliminates the independent variables in which the diffusion phenomena predominate. A system of coupled hyperbolic equations then results, involving time and the space coordinates in which convection is dominant, which is solved numerically through a modified upwind second-order finite-difference scheme. Stability and convergence characteristics of the proposed mixed approach are also examined. Typical applications in two- and three-dimensional geometries are considered, for both slug and laminar flow situations.

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Notes on contributors

R. M Cotta

Address correspondence to R. M Cotta, Departamento de Engenharia Mecanica, EE/COPPE/UFRJ, Universidade Federal do Rio de Janeiro, Caixa Postal 68503, Rio de Janeiro, RJ, 21945-970, Brasil