## 1 Introduction  
Gas hydrates are a promising energy resource [1, 2]. Methane hydrates are the most common object of research due to their abundance worldwide [3]. One of the research fields is the storage of gas in the form of hydrates [4, 5]. Such storage is considered as optimal in terms of fire and explosion safety and is effective due to the high volume capacity compared to natural gas [6]. Another important area of research is using gas hydrates as a new energy resource. This fuel type features high environmental characteristics as its combustion leaves almost no solid products and yields significantly less gaseous anthropogenic emissions compared to conventional fuels [1, 7]. Gas hydrates have a heterogeneous structure. Their combustion mechanism is significantly different from that of conventional liquid and solid fuels [8]. In particular, water in the gas hydrate composition has a profound effect on the ignition and flame characteristics [1]. Gas hydrate combustion in the furnaces of power facilities requires studying the specific aspects of ignition. Most studies into the ignition of gas hydrates combine experiments and mathematical modeling, for instance, in [9]. Some studies on gas hydrate combustion deal with the flame structure [8, 10], the morphology of the surface of the samples [11, 12], and dissociation at different heat fluxes [13, 14, 15, 16, 17]. A number of factors are responsible for the ignition and combustion of gas hydrates: the shape of the particles, their size, heating medium temperature, external conditions, characteristics of phase transformations, and so on. The research into the effect of a hydrate sample shape revealed [11] that a spherical methane hydrate particle combustion goes through two distinct stages. In the first stage, the hydrate surface remains dry, since the surface temperature at the beginning of combustion is below the ice melting point. At the second stage, a water film emerges on the sample surface. The gas hydrate's self-preservation effect during dissociation [18] was found to lead to unsteady combustion and flame extinction. The combustion of propane hydrate, which has a higher combustion stability than methane hydrate, was also studied [19]. In the case of propane hydrate, the flame combustion front spreads very fast mainly due to the expansion of burned gases. Then, the process rapidly fades with some hydrates remaining unburned. The water released in the combustion of gas hydrate is crucial, as it slows down the heat transfer from the flame to the hydrates and prevents gas from entering the combustion zone [19]. A similar conclusion was drawn [1; 20; 21] when studying the effect of water on methane hydrate ignition behavior. A water film accumulating on the gas hydrate surface sample contributes to the formation of methane bubbles and accelerates liquid evaporation, thus leading to unstable combustion. Water vapors decrease the flame temperature and combustion rate [1]. As shown by [PERSON] et al. [20], the chemical effect of water consists in changing the rates of OH, H, and O radical formation and depletion. Experiments [20] showed that the effect of water was mainly thermal, and it decreased the temperature of the flame to its full extinction. The effect of the gas hydrate sample sizes on the ignition behavior was explored in [22; 23; 24]. A change in the sample diameter during the combustion of the hydrate spheres followed the \(D^{2}\) law, and the combustion rate decreased with an increase in the diameter or decrease in the initial temperature at the center of the sample [23]. It was established [24] that an increase in the sphere diameter caused the flame to go up sharply and the oscillation frequency to decrease, whereas the maximum flame temperature remained constant. The experimental research findings for the effect of the air flow movement conditions on methane hydrate combustion behavior were described in [25]. An internal vertical air flow was found to be necessary for the stable combustion of gas hydrates.