successive bifurcation conditions of a lorenz-type equation for the fluid convection due to the transient thermal field

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ID: 155413
2007
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Abstract
This paper investigates the convection flow between the two parallel plates in a fluid cell subject to the transient thermal field. We use the modal approximations similar to that of the original Lorenz model to obtain a generalized Lorenz-type model for the flow induced by the transient thermal field at the bottom plate. This study examines the convection flow bifurcation conditions in relation to the transient temperature variations and the flow properties. We formulated successive bifurcation conditions and illustrated the various flow behaviors and their steady-state attractors affected by the thermal field functions and fluid properties.
Reference Key
he2007mathematicalsuccessive Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Xiaoling He
Journal journal of power sources
Year 2007
DOI
10.1155/2007/81514
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