A note on the loop thermosyphon with mixed boundary conditions (Q1058399)

This paper presents a one-dimensional model for flow in a toroidal fluid loop in which the wall heat transfer coefficient is constant over one half of the loop, and zero over the other. A mathematically low- dimensional form of the model gives reasonably accurate predictions of the steady state mass flow, stability, and the nature of non-steady motions. Numerical computations with a high-dimensional model illustrate the effects of mixed boundaries and axial heat conduction on the chaotic solutions. Comparisons are made with previous low-dimensional models that are exact only for a spatially uniform heat transfer coefficient.