Terms of Fluid Convection in Circular Cylindrical Cavities of the Finite Height

The research conducted is caused by the need to calculate thermal modes of spacecraft equipment modules in low gravity. In this work we examine the analysis methods of emerging internal convective motions in viscous fluid or gas. Within the research we use convection equations in Boussinesq approximation with linear stability theory. Thus, we obtain the results for spatial movement with the possibility of periodicity around the vertical axis. The constancy and periodical modulation of mass forces field acceleration are provided. Moreover, we solve the problem of the unknown functions in the form of double or triple Fourier series, with reducible infinite systems of equations for the coefficients. We find good agreement between the results and the known data. In variants with relation between the cylinder height and its radius Z > 0,5, stability of equilibrium is the least in respect of antisymmetric movements (with wave number n = 1) with the boundary section in the vertical plane through the cylinder axis. We illustrate the findings of the research with examples of temperature and vertical velocity isoline fields.

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