Simulation of Laminar Flow Inside Ducts of Irregular Geometry Using Integral Transforms

  • Pérez~Guerrero J
  • Quaresma J
  • Cotta R
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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.

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  • J S Pérez~Guerrero

  • J N N Quaresma

  • R M Cotta

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