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Second-order modeling of non-premixed turbulent methane-air combustion

非预混湍流甲烷-空气燃烧的二阶建模

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Abstract

The main purpose of this research is the second-order modeling of flow and turbulent heat flux in non-premixed methane-air combustion. A turbulent stream of non-premixed combustion in a stoichiometric condition, is numerically analyzed through the Reynolds averaged Navier-Stokes (RANS) equations. For modeling radiation and combustion, the discrete ordinates (DO) and eddy dissipation concept model have been applied. The Reynolds stress transport model (RSM) also was used for turbulence modeling. For THF in the energy equation, the GGDH model and high order algebraic model of HOGGDH with simple eddy diffusivity model have been applied. Comparing the numerical results of the SED model (with the turbulent Prandtl 0.85) and the second-order heat flux models with available experimental data follows that applying the second-order models significantly led to the modification of predicting temperature distribution and species mass fraction distribution in the combustion chamber. Calculation of turbulent Prandtl number in the combustion chamber shows that the assumption of Prt of 0.85 is far from reality and Prt in different areas varies from 0.4 to 1.2.

摘要

本研究的主要目的是对非预混甲烷-空气燃烧中的流动和湍流热通量进行二阶建模。采用雷诺平 均Navier-stokes (RANS)方程对化学计量条件下非预混燃烧的湍流进行了数值分析。采用离散坐标 和涡流耗散概念模型对辐射和燃烧进行建模, 并采用RSM 模型对湍流进行建模。应用GGDH 模型和 具有简单涡扩散模型的HOGGDH 高阶代数模型对能量方程中的THF 进行建模, 将SED 模型和二阶热 通量模型的数值结果与现有的实验数据进行比较, 发现应用二阶模型导致了预测燃烧室温度分布和物 质质量分数分布的变化。燃烧室湍流普朗特数的计算表明, Pr 为0.85 与实际相差较大,不同区域的 Pr 从0.4 到1.2 不等。

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Abbreviations

(uT)* :

Dimensionless components of the of THF vector

c p :

Heat capacity (kJ/(kg · K))

u i, u j :

Velocity vector components (m/s)

k :

Turbulent kinetic energy (m2/s2)

t :

Time (s)

T :

Temperature (K)

Y :

Mass fraction

P :

Pressure (Pa)

μ :

Dynamic molecular viscosity (kg/(m·s))

ρ :

Density (kg/m3)

ε H :

Heat eddy diffusivity (m·K/s2)

ε M :

Momentum eddy diffusivity (m·K/s2)

υ :

Kinematic viscosity (m2/s)

υ :

Dissipation rate of the turbulent kinetic energy (m2/s3)

τ :

Turbulent time scale (s)

Favre average:

∼

Reynolds average:

–

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Semnan University, P.O.B. 35131-191, Semnan, Iran

    Ali Ershadi & Mehran Rajabi Zargarabadi

  2. Department of Mechanical Engineering, Dezful Branch, Islamic Azad University, Dezful, Iran

    Ali Ershadi

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  1. Ali Ershadi
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Contributions

Mehran RAJABI ZARGARABADI provided the concept and edited the draft of manuscript. Ali ERSHADI conducted the literature review and wrote the first draft of the manuscript. Ali ERSHADI performed the numerical simulations and analyzed the results. Mehran RAJABI ZARGARABADI and Ali ERSHADI edited the draft of manuscript, replied to reviewers’ comments and revised the final version.

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Correspondence to Mehran Rajabi Zargarabadi.

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The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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Ershadi, A., Rajabi Zargarabadi, M. Second-order modeling of non-premixed turbulent methane-air combustion. J. Cent. South Univ. 28, 3545–3555 (2021). https://doi.org/10.1007/s11771-021-4874-8

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