BODY-FORCE-DRIVEN MULTIPLICITY AND STABILITY OF COMBINED FREE AND FORCED CONVECTION IN ROTATING CURVED DUCTS: CENTRIFUGAL FORCE

摘要

The governing equations were discretized by the finite volume method. The Euler-Newton continuation was used to solve the resulting system of nonlinear algebraic equations. An indirect method was employed to find the bifurcation points and to switch branches. The present work focussed on the bifurcation structure, the flow structure, and the stability of various solution branches for σ=0.02 and Pr=0.7. Up to 6 solution branches were found within the Dk range of 0-800. Three of these are new. At any fixed value of Dk in the range 0≤Dk≤620, all steady solutions develop, after the initial random disturbances, to the same final state. Finite random disturbances lead the steady solutions to a 2-cell stable state on S_(1-1) in 0≤Dk≤191.27, periodic oscillation in 191.27