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Simulation of laminar flow inside ducts of irregular geometry using integral transforms |
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| Authors: | J S Pérez Guerrero J N N Quaresma R M Cotta |
| Affiliation: | Comiss?o Nacional de Energia Nuclear – CNEN/COREJ Rua General Severiano 90 – Botafogo 22294-900 – Rio de Janeiro-RJ, Brazil, BR Chemical Engineering Department – CT Universidade Federal do Pará, UFPA Campus Universitário do Guamá 66075-900 – Belém-PA, Brazil, BR Laboratory of Transmission and Technology of Heat – LTTC Mechanical Engineering Department – EE/COPPE/UFRJ Universidade Federal do Rio de Janeiro Cx. Postal 68503 – Cidade Universitária 21945-970 – Rio de Janeiro-RJ, Brazil, BR |
| Abstract: | The Generalized Integral Transform Technique is employed in the hybrid numerical-analytical solution of the steady two-dimensional Navier–Stokes equations, defined within arbitrarily shaped domains, for incompressible laminar channel flow. The formalism is illustrated for the classical test-case of laminar flow in a gradual expansion duct. Numerical results with automatic global accuracy control are obtained for suggested values of Reynolds numbers in the literature, and critically compared against previously reported benchmark solutions for the same problem. The relative merits of the proposed approach are then pointed out. Received 24 May 1999 |
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