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Laminar flow and heat transfer in a periodically converging‐diverging channel

1988; Wiley; Volume: 8; Issue: 5 Linguagem: Inglês

10.1002/fld.1650080506

1097-0363

Vijay K. Garg, Pranabesh Maji,

Heat Transfer and Optimization

Abstract A finite difference solution for laminar viscous flow through a sinusoidally curved converging‐diverging channel is presented. The physical wavy domain is transformed into a rectangular computational domain in order to simplify the application of boundary conditions on the channel walls. The discretized conservation equations for mass, momentum and energy are derived on a control volume basis. The pseudo‐diffusive terms that arise from the co‐ordinate transformation are treated as source terms, and the resulting system of equations is solved by a semi‐implicit procedure based on line relaxation. Results are obtained for both the developing and the fully developed flow for a Prandtl number of 0.72, channel maximum width‐to‐pitch ratio of 1.0, Reynolds number ranging from 100 to 500 and wall amplitude‐to‐pitch ratio varying from 0.1 to 0.25. Results are presented here for constant fluid properties and for a prescribed wall enthalpy only.