Natural convection in heat-generating fluids

The effect of natural convection on the gas-phase Sal'nikov reaction in a closed vessel

“…(1). For small Rayleigh numbers, typically Ra ( Ra c1 $ 10 3 , diffusive processes dominate and there is either no motion or very little motion in the system; 26,27 this corresponds to the left-hand region in both the regime diagram Fig. 1 and in Fig.…”

On the occurrence of thermal explosion in a reacting gas: The effects of natural convection and consumption of reactant

“…For Ra in the range 500 < Ra < 10 6 , Liu et al [3] conducted numerical simulations and identified the transition between stable and explosive behaviour; this explosion boundary is shown in Fig 2. When Ra > 10 6 , natural convection is vigorous and turbulent [19,20]; then the system approximates to the well-mixed (Semenov) case [1]. However, conduction of heat still plays a role in the thin thermal boundary layer adjacent to the reactor wall.…”

A scaling analysis of Sal'nikov's reaction, P→A→B, in the presence of natural convection and the diffusion of heat and matter

“…For Rayleigh numbers less than a critical value (≈ 10 3 for spheres) (Bol'shov et al 2001), diffusion will be the dominant mechanism for the transfer of heat and mass. When diffusion dominates transport, the temperature and concentration fields are approximately spherically symmetric, with the maximum temperature occurring close to the centre of the reactor.…”