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Abstract
Numerical simulation of the 2D fully hydrodynamic equations for the pure fluid in a rectangular channel with horizontal flow for Prandtl number Pr=0.0272 was conducted. Growth and spatiotemporal evolution of the 1D traveling wave patterns in the RayleighBenard convection of the pure fluid were investigated. It is found that the convective growth process can be divided into 3 stages: the development stage, the exponential growth stage and the periodic variation stage. Through analysis on the variation of the maximum vertical velocity field with time for different relative Rayleigh numbers Ra<sub>r</sub> in the exponential growth stage, a formula of variation of linear growth rate γ<sub>m</sub> was obtained with respect to Ra<sub>r</sub>. Furthermore, the traveling wave convection periodicity and its dependence on the horizontal flow Reynolds number were revealed.
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