Two-phase model of O 2 (¹-delta) production with application to rotating disk generators

O2(1Δ) Quenching Mechanism in Cl2/Basic Hydrogen Peroxide(Basic Deuterium Peroxide) Gas/Liquid Reaction and the Determination of O2(1Δ)/BHP(BDP) Interface Free Energy

“…This model only considers the resistance of diffusion in the liquid phase and omits the critical resistance in the gas/liquid interface that impedes the O 2 ( 1 Δ) from escaping off the liquid. This neglect will lead to a fairly large error of Y d , in comparison with the exact solution based on a more advanced model of Copeland, – as we will see in the following calculation.…”

“…In these processes, a fraction of O 2 ( 1 Δ) will be quenched by collision E−V energy transfer. According to this physical mode, Copeland , and Zagidullin separately wrote a mathematical model, leading to an exact solution of the O 2 ( 1 Δ) detachment yield in the well-mixed limit, under the conditions that the surface concentration of HO 2 − is constant and the heterogeneous deactivation of O 2 ( 1 Δ) is small. Thus, the detachment yield of O 2 ( 1 Δ) can be expressed as the product of three survival probabilities (eq ), Y d = f liq · f int · f gas where f liq , f int , and f gas represent, respectively, the survival probability of nascent O 2 ( 1 Δ) molecules that diffuse successively through the liquid reaction zone, the gas/liquid interface, and the gaseous boundary layer on the liquid surface.…”

“…The survival probability f liq , in eq can be expressed as eq , – f liq = 1 1 + D C normall 2 l k [ H normalO 2 − ] D normalO 2 l τ normalO 2 where D Cl 2 l and D O 2 l are the Cl 2 and O 2 ( 1 Δ) diffusion coefficients in BHP, k is the rate controlling reaction rate constant of Cl 2 with HO 2 − , [HO 2 − ] is the HO 2 − concentration, and τ O 2 is the lifetime of O 2 ( 1 Δ) in BHP. By introducing the values of these parameters (listed in Table ), we get f l iq ≈ 0.988 for Cl 2 + BHP reaction.…”

“…As for the probability ( f gas in eq ) of O 2 ( 1 Δ) molecules diffusing through the gaseous boundary layer, Copeland , and Zagidullin gave eq , f gas = R O 2 int ⁡ + R O 2 liq R O 2 gas + R O 2 int + R O 2 liq = 4 v O 2 γ O 2 + H O 2 τ O 2 D O 2 l 8 P V σ D O 2 g …”

“…Contrary to our expectation, O 2 ( 1 Δ) detachment yields ( Y d ) for the two reaction systems do not differ much from each other, being ∼70% for the former and ∼73% for the latter. By numerical analysis of the relevant kinetic model of the Cl 2 + BHP(BDP) reactions, – we found that the main resistance that prevents the nascent O 2 ( 1 Δ) from escaping off the solution into the bulk gas flow does not lie in the liquid phase or the gas boundary layer, but in the gas/liquid interface.…”