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

We study a one-dimensional steady-state regime of a gas flow through porous objects with periodically distributed intensity of energy release under a given pressure difference on the open boundaries of the object, i.e., under self-regulation of the gas moving through the object. The obtained numerical-analytical solution to the problem is analyzed in a large range of the defining parameters; and the basic regularities of the studied process are revealed. It is shown that, under a periodical distribution of energy release sources, the dependencies of the phase temperatures, the filtration velocity, and the density on the height of the object are oscillatory but the pressure changes monotonically. It is found that the local maxima of the temperature of the solid medium and energy release differ, and their local minima can coincide only at those points where there is no energy release. We show that, the highest heating and other parameters under a periodical distribution of energy release can differ substantially from those under uniform energy release with the same total heat release. We also found that when the frequency of the heat-release intensity oscillations increases, the values of all sought parameters converge to those of the uniform energy release with the same total heat release as in the case of any integer even frequencies.