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Bifurcation and stability of forced convection in tightly coiled ducts: multiplicity. (English) Zbl 1153.76417

Summary: A numerical study is made on the fully developed bifurcation structure of the forced convection in tightly coiled ducts of square cross-section. In addition to the examination of structural changes of three known solution branches found in loosely coiled ducts, three new solution branches are found. These new branches are isolated from the three known branches. The flows on these new branches are in a symmetric 4-cell state, a symmetric 8-cell state, an asymmetric 2-cell state, an asymmetric 5-cell state, an asymmetric 7-cell state, or an asymmetric 8-cell structure.

MSC:

76R05 Forced convection
76M25 Other numerical methods (fluid mechanics) (MSC2010)
80A20 Heat and mass transfer, heat flow (MSC2010)

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