A simplistic model of cyclic heat transfer phenomena in closed spaces

Cyclic heat transfer inside closed spaces is investigated analytically using a simple heat transfer model. The model consists of a gas layer exchanging heat with two bounding parallel walls that pulsate against each other in the transverse direction. Correlations for the magnitude and the phase lag of the heat transfer are obtained. Also, an expression for the power loss due to the cyclic heat transfer is presented. It is shown that the loss approaches zero as the heat transfer process approaches either isothermal or adiabatic conditions. The power loss is shown to be a strong function of the phase angle between the bulk gas temperature and the heat transfer.