Stationary regimes of cooling porous objects with periodically distributed energy-release sources

Abstract

Under study is the one-dimensional stationary regime of gas motion through porous objects with periodically distributed intensity of energyrelease and some given pressure difference on the open boundaries of the object, i.e. under a kind of self-regulation of the gas flow rate through the object. The obtained numerical-analytical solution of the problem is analyzed in a wide range of key parameters, and the basic regularities of the process under study are revealed. It is shown that, under a periodical distribution of the energyrelease sources, the dependence of the phase temperatures, filtration rate, and gas density on the height of the object is also oscillatory; however, pressure changes monotonically.We show that the local maxima of the solidmedium temperature and energy release do not coincide, whereas their local minima can coincide only at those points where the heat release is absent. We show that, under a periodical distribution of the energyrelease sources, the maximum heating and other parameters can differ substantially from those for the uniform energyrelease with the same total heat release.We demonstrate that, as the frequency of oscillations increases of the heat-release intensity, the values of all defined parameters converge to those under the uniform energyrelease with the same total heat release as in the case of all frequencies that are even integer.