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ISSN Online: 2377-424X

ISBN Print: 978-1-56700-421-2

International Heat Transfer Conference 15
August, 10-15, 2014, Kyoto, Japan

Unified Integral Transforms in Single Domain Formulation for Internal Flow Three-Dimensional Conjugated Problems

Get access (open in a dialog) DOI: 10.1615/IHTC15.nsm.009729
pages 5867-5880

Abstract

The Integral Transform Method is employed in the hybrid numerical-analytical solution of three-dimensional conjugated conduction-convection problems for internal flow situations based on a single domain formulation for both the solid and fluid regions. The transition between the solid and fluid domains is accounted for through space variations of the energy equation coefficients. Then, this information is carried along to the associated eigenvalue problem which supports the eigenfunction expansion of the temperature field. The Generalized Integral Transform Technique (GITT) is then employed to yield a hybrid solution of this eigenvalue problem with space variable coefficients, resulting in an algebraic eigenvalue problem. The approach is here illustrated for steady three-dimensional laminar convection within a rectangular micro-channel with participating walls. Convergence behavior of the proposed eigenfunction expansions is then critically examined and physical interpretation of the obtained numerical results is provided.