Numerical Study of Newtonian Fluid Flows in T-Shaped Structures with Impermeable Walls

Abstract:

This article presents the results of flows in "T" shaped duct bifurcations. The problem is to find the resistance to flow in three-dimensional (3D) structures with different homothetic relationships between sizes (diameters and lengths) of parent and daughter ducts. The method used is the Constructal Design, which is based on the Constructal Theory. The minimization of the global resistance to flow, subjected to geometric constraints of volume and area occupied by the ducts, is the key to search for optimum configurations. The flows investigated were three-dimensional, laminar, incompressible, in steady state, with uniform and constant properties. The results obtained numerically were verified via comparison with analytical results available in the literature. In this work, ranges of length and ratio of diameterss from 0.5 to 1 and 0.1 to 1, respectively, were investigated, for Reynolds numbers equal to 10² and 10³. The main results indicate that the T-shaped structure with impermeable walls, agree with Hess-Murray's law.

• Periodical: Defect and Diffusion Forum (Volume 396)
• Pages: 177-186
• DOI: https://doi.org/10.4028/www.scientific.net/DDF.396.177
• Online since: August 2019
• Authors: Vinicius da Rosa Pepe*, Luiz Alberto Oliveira Rocha, Flavia Schwarz Franceschini Zinani, Antonio Ferreira Miguel
• Keywords: Constructal Design, Duct Bifurcations, Hess-Murray Law, Impermeable Wall, Newtonian Fluid

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