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Article Dans Une Revue Inverse Problems in Science and Engineering Année : 2004

Identification of velocity distribution in a turbulent flow inside parallel-plate ducts from wall temperature measurements

Résumé

An inverse Heat Convection Problem is investigated in this numerical study. Turbulent forced convection is considered, with a hydrodynamically fully developed, thermally developing, incompressible, constant property flow inside a parallel-plate duct. Velocity and effective diffusivity distributions of the turbulent model are characterised by a Reynolds number b+ based on the shear stress velocity. The identification of b+ from simulated wall temperature measurements is presented. A heat flux density is applied along the channel length and temperature responses are taken at the wall external surface. Heat transfer has to act as a small but measurable perturbation of the flow. The inverse problem is recast into an optimisation problem solved with a Quasi-Newton method. Reynolds numbers 105 and 106, corresponding to two different values of b+, are considered. Effects of sensor number and location, as well as magnitude of measurement error on the estimation accuracy, are examined.

Dates et versions

hal-00171335 , version 1 (12-09-2007)

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Manuel Girault, Daniel Petit, F. Penot. Identification of velocity distribution in a turbulent flow inside parallel-plate ducts from wall temperature measurements. Inverse Problems in Science and Engineering, 2004, 12 (3), pp.247-262. ⟨10.1080/10682760310001598670⟩. ⟨hal-00171335⟩
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