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CHT'97 - Advances in Computational Heat Transfer. Proceedings of the International Symposium
May, 26-30, 1997 , Çesme, Turkey

DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT


ISBN Print: 978-1-56700-115-0

ISSN: 2578-5486

THE METHOD OF LINES SOLUTION OF TIME-DEPENDENT 2-D NAVIER-STOKES EQUATIONS COUPLED WITH ENERGY EQUATION

page 9
DOI: 10.1615/ICHMT.1997.IntSymLiqTwoPhaseFlowTranspPhenCHT.280
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RESUMO

In this paper a novel code developed previously for the numerical simulation of transient axisymmetric flow in a pipe with sudden expansion and validated for the prediction of developing transient flow in a pipe, was modified to incorporate the scalar transport equation for energy. The code is based on the method of lines (MOL) solution of time-dependent two-dimensional incompressible Navier-Stokes equations with i) an intelligent higher-order spatial discretization scheme, which chooses biased-upwind or biased-downwind discretization stencil in a zone-of-dependence manner when flow reversal occurs, and ii) a parabolic algorithm which removes the necessity of iterative solution on pressure and solution of a Poisson-type equation for the pressure. The modified code was applied to the prediction of time-development of flow and temperature fields of a suddenly started laminar flow in a pipe with sudden expansion with hot wall at constant temperature. Predictions were found to show the expected trends for both unsteady and steady states.

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