In this investigation the question of the existence of multiple steady-state solutions for the mixed convection flow problem in horizontal rectangular ducts is examined. The numerical study employs the theoretical results of Benjamin on (1) the bifurcation theory for a bounded incompressible fluid as a guide in systematically exploring the bifurcation phenomena for this problem. The observed bifurcations of solutions are discussed in terms of the dynamic processes involved. Each cellular flow may be represented by a solution surface in the parametric space of Grashof number and aspect ratio. These are delimited by loci of bifurcation points. The projection of these surfaces on the Gr- gamma plane overlaps. The primary modes exchange roles via the formation of a tilted cusp.
|Journal||American Society of Mechanical Engineers (Paper)|
|State||Published - 1985|