Characteristics of scalar transport and chemical reaction in reactive dual jets

doi:10.11949/0438-1157.20211560

Abstract

Abstract:

Based on the pimpleFoam solver in OpenFOAM, the flow-reaction coupling process of the dual parallel plane jets with a second order non-equilibrium elementary reaction (A+B $→$ R) is numerically investigated. More specifically, the production, consumption and transportation behaviors of reactive dual jets along the centerline with different jet separation distances are considered. The simulation results of a single reactive jet are compared with the corresponding previous experimental and numerical results to verify the accuracy of the numerical algorithm adopted. The main conclusions are as follows: (1) The behavior of the two jets at the quasi-stagnation point and the mixing point directly affects the chemical reaction. (2) Jet interaction length scales can effectively predict the statistics of the reactant and product terms of jet interactions under different jet separation distances. (3) When Da=0.1 and Sc=0.71, the transport of reactants and products is dominated by the convective process. (4) The joint probability distribution function (JPDF) between the instantaneous concentrations of the reactant and product terms is “heart-shaped”, and generally speaking, the circumstances that instantaneous concentrations of reactant A and reactant B are close to the average value, are associated with high rates of chemical reactions.

Key words: dual jets, chemical reaction, scalar transport, turbulent flow, CFD

摘要：

基于OpenFOAM中pimpleFoam求解器对具有二级非平衡基元反应(A+B $→$ R)的双平行平面射流中流动-化学反应耦合过程进行数值模拟，研究了不同射流口间距下反应物、生成物浓度标量在流场中心线上的产生、消耗和输运行为。首先将反应性单射流模拟结果与前人实验研究和数值模拟结果进行对比，验证了数值算法的精确性。结果表明：(1) 两股射流在准滞止点和混合点的行为直接影响着化学反应。(2) 射流相互作用尺度x_* 可以预测不同射流口间距下反应物和产物的湍流标量统计量。(3) 在Da=0.1且Sc=0.71时，反应物和产物由对流过程主导输运。(4) 反应物和产物浓度脉动之间的联合概率密度分布(joint probability distribution function，JPDF)呈“心形”，其说明反应物A和反应物B的瞬时浓度在时均值时将有利于化学反应的发生。

关键词: 双射流, 化学反应, 标量输运, 湍流, 计算流体力学

CLC Number:

O 358

Yan LI, Ahui TIAN, Yi ZHOU. Characteristics of scalar transport and chemical reaction in reactive dual jets[J]. CIESC Journal, 2022, 73(5): 1947-1963.

李岩, 田阿慧, 周毅. 反应性双射流中标量输运和化学反应特性[J]. 化工学报, 2022, 73(5): 1947-1963.

Figures/Tables 28

Fig.1 Schematic diagram of the simulation

Table 1 Simulation parameters and node settings of reactive dual jets

Run	Re_d	U_A/U_J	Γ_A0/Γ_B0	Da	L_d /d	L_x /d	L_y /d	L_z /d	N_x	N_y	N_z
J4	2000	0.1	2	0.1	4	40	120	8	251	601	41
J6	2000	0.1	2	0.1	6	40	120	8	251	601	41
J8	2000	0.1	2	0.1	8	40	120	8	251	601	41

Fig.2 Vertical distribution of normalized mean streamwise velocity of a reactive jet

Fig.3 Vertical distribution of normalized turbulence rms value of a reactive jet

Fig.4 Vertical distribution of mean mixture fraction and mixture fraction fluctuation rms of a reactive jet

Fig.5 Structure diagram of dual jet flow field

Fig.6 Streamwise evolution of the mean streamwise velocity along the center line

Table 2 The quasi stagnation point xqsp， locations of the merge point xmp， and the combine point xcp in the three cases of different jet separation distances

Run	L_d /d	x_qsp/d	x_mp/d	x_cp/d
J4	4	4	5.7	14
J6	6	6	8.5	20
J8	8	8	11.9	28

Fig.7 Streamwise evolution of the flow characteristics along the center line

Fig.8 Instantaneous concentration and mean concentration of reactant A

Fig.9 Instantaneous concentration and mean concentration of reactant B

Fig.10 Instantaneous concentration and mean concentration of product R

Fig.11 Instantaneous chemical reaction rate

Fig.12 Streamwise evolution of the mean concentration of reactant and product along the center line

Fig.13 Streamwise evolution of concentration fluctuation rms value of reactant and product along the center line

Fig.14 Streamwise evolution of the mean concentration of reactant A and reactant B along x/x* on the center line

Fig.15 Streamwise evolution of reactant A and reactant B concentration fluctuation rms value along x/x* on the center line

Fig.16 Streamwise evolution of concentration and concentration fluctuation rms value of product R along x/x* on the center line

Table 3 Normalized wake-interaction scale x?， locations of reactant concentration fluctuation rms peak xpeak and product concentration fluctuation rms peakxpeak1， xpeak2

Run	x_*/d	x_* /x_*1	x_peak/d	x_peak/x_peak,1	x_peak₁/d	x_peak₁/x_peak_1,1	x_peak₂/d	x_peak₂/x_peak_2,1
J4	4	1	9	1	3.8	1	5.2	1
J6	6	1.5	13	1.4	6	1.6	8.2	1.6
J8	8	2	17	1.9	7.8	2.1	11.5	2.2

Fig.17 Streamwise evolution of the instantaneous terms in reactant scalar transport equation along the center line

Fig.18 Streamwise evolution of the instantaneous terms in product scalar transport equation along the center line

Fig.19 Streamwise evolution of the correlation coefficient between items of the chemical reaction transport equation along the center line

Fig.20 JPDF of AtR-〈AtR〉 and AR-〈AR〉 at x/d = 10, 20, and 30

Fig.21 JPDF of DR-〈DR〉 and SR-〈SR〉 at x/d = 10, 20, and 30

Fig.22 Streamwise evolution of the mean value of each term in chemical reaction scalar transport equation along the center line

Fig.23 Streamwise evolution of the correlation coefficient between the component concentrations along the center line

Fig.24 Streamwise evolution of the correlation coefficient ρ(AA, AB) between the advection term AA and AB in the transport equation of reactant along the center line

Fig.25 JPDF of ΓA-〈ΓA〉and ΓR-〈ΓR〉 at x/d = 10, 20, and 30

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