Thermoconvective Instability of a Second-Order Fluid

概要

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The non-linear three-dimensional thermoconvective instability of a second-orderfluid layer between two parallel semi-infinite walls is analyzed under the fixed-heatflux boundary condition. In the analysis, the Boussinesq approximation is used toaccount for density changes in the system. It is shown that the non-linear time-dependent equation that governs the convective motion is of the same form as those ob-tained by Chapman and Proctor" in the two-dimensional case and by Proctor" (forinfinitely thickwalls) in the three-dimensional case for Newtonian fluids. This resultshows that the theorems of Tanner" and Giesekus" for planar, creeping flow of in-compressible second-order fluids can be extended to three-dimensional, non-linear,time-dependent thermoconvective phenomena.
社団法人日本物理学会の論文
1986-02-15