| 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. |
