Transitions and pressure drop characteristics of flow in channels with periodically grooved parts

Transitions of flow in periodically grooved channels and pressure drop characteristics are numerically investigated by assuming two-dimensional and fully developed flow fields. It is confirmed that a self-sustained oscillatory flow occurs at a critical Reynolds number from the steady-state flow as a result of Hopf bifurcation due to instability. The critical Reynolds numbers are obtained for various channel geometries. The ratio ol the pressure drop of the grooved channel to that of the parallel-plate channel is also investigated. It is shown that the ratio is less than unity for the expanded channel geometries for the subcritical Reynolds numbers, whereas it increases above unity for the supercritical values. On the other hand, it always increases above unity for the contracted channel geometries.