LIMIT OF PARAMETERS DURING DETONATION IN VAN DER WAALS GAS
Abstract
The study of detonation processes in gaseous media is of interest for the coal mining, aviation, aerospace industries, and hydrogen energy. Under high pressure conditions during the passage of a detonation wave, it is necessary to take into account the equation of state of a real gas, the effects of endothermicity and exothermicity.
The paper considers the flow of real gas through a plane detonation wave. A modified Rankine-Hugoniot equation has been obtained to describe the dynamics of changes in the parameters of a van der Waals gas flow when it passes through a detonation wave.
The relations that determine the limiting pressure for the existence of detonation in a Van der Waals gas were obtained. The dependence of the limiting pressure on the parameters A and B of the Van der Waals equation of state is shown. An increase in parameter A slows down the growth of pressure in the detonation wave, and an increase in parameter B intensifies it.
An equation for determining the velocity of combustion products in a real gas is obtained. Compared with the velocity of combustion products in an ideal gas. For an ideal gas, combustion products flow from the detonation front at a critical (sonic) velocity. For a Van der Waals gas, the velocity of combustion products can be greater than the critical one. Moreover, both parameters characterizing the additional pressure (A) and the additional volume (B) lead to the acceleration of combustion products. The additional pressure transfers its energy to the flow and thus causes acceleration. The additional volume leads to a decrease in the degree of compression in the same way as the limiting compression (28). Therefore, the flow velocity increases.
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