控制体自由单元法及其在湍流燃烧中的应用

doi:10.7527/S1000-6893.2024.29382

Abstract

Abstract:

In this study， the steady laminar flamelet model is used to describe turbulence-flame interaction， which realizes the decoupling between the flow and the chemical reaction， is able to predict a variety of combustion phenomena well with less computational effort， and proves suitable for application in engineering. The free element method， which only requires a certain number of points to be arranged in the computational area for discretizing the control equations， is employed to overcome the difficulty of complex geometry in engineering. Numerical simulations of laminar counterflow non-premixed flames， two-dimensional axisymmetric co-flow non-premixed methane-air laminar flame， turbulent counterflow non-premixed flame， and burner turbulent non-premixed flame are conducted， respectively. The computational results are studied in comparison with the references to verify the correctness and effectiveness of the free element method in modeling the turbulent combustion.

Key words: turbulent combustion, free element method, steady laminar flamelet model, laminar counterflow flame, turbulent non-premixed flame

CLC Number:

V430

Jinxing DING, Huayu LIU, Xiaowei GAO. Control volume free element method and its application in turbulent combustion[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(11): 529382.

Figures/Tables 19

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Table 1

Geometrical parameters of co-flow burner

参数	尺寸/cm
内部圆管内径 $r i$	0.555
内部圆管壁厚 $W i$	0.08
外部圆管内径 $r o$	4.76
外部圆管壁厚 $W o$	0.34

Table 1

Table 2

Boundary conditions of co-flow burner

位置	组分体积分数	入口速度/（m·s^-1）
内部圆管	$C H 4 ∶ 1$	0.056 7
外部圆管	$O 2 ∶ 0.21, N 2 ∶ 0.79$	0.108

Table 2

Fig.8

Table 3

Boundary condition of turbulent counterflow flame

位置	组分体积分数	入口速度/（m·s^-1）
甲烷入口	$C H 4 ∶ 1$	1.65
空气入口	$O 2 ∶ 0.21, N 2 ∶ 0.79$	1.32

Table 3

Fig.9

Fig.10

Table 4

Table 5

Boundary conditions of burner

位置	组分体积分数	入口速度/（m·s^-1）
甲烷入口	$C H 4 ∶ 1$	0.5
空气入口	$O 2 ∶ 0.21, N 2 ∶ 0.79$	0.4

Table 5

Fig.11

Fig.12

Fig.13

Fig.14

References 25

1	PETERS N. Laminar diffusion flamelet models in non-premixed turbulent combustion［J］. Progress in Energy and Combustion Science， 1984， 10（3）： 319-339.
2	CLARAMUNT K， CONSUL R， CARBONELL D， et al. Laminar flamelet concept for laminar and turbulent diffusion flames： AIAA-2004-0796［R］. Reston： AIAA， 2004.
3	CLARAMUNT K， CONSUL R， CARBONELL D， et al. Analysis of the laminar flamelet concept for nonpremixed laminar flames［J］. Combustion and Flame， 2006， 145（4）： 845-862.
4	LIU F， GUO H， SMALLWOOD G. Evaluation of the laminar diffusion flamelet model in the calculation of an axisymmetric coflow laminar ethylene-air diffusion flame［J］. Combustion and Flame， 2006， 144（3）： 605-618.
5	CARBONELL D， PEREZSEGARRA C， COELHO P， et al. Flamelet mathematical models for non-premixed laminar combustion［J］. Combustion and Flame， 2009， 156（2）： 334-347.
6	CÒNSUL R， PÉREZ-SEGARRA C D， CLARAMUNT K， et al. Detailed numerical simulation of laminar flames by a parallel multiblock algorithm using loosely coupled computers［J］. Combustion Theory and Modelling， 2003， 7（3）： 525-544.
7	CLARAMUNT K. Multidimensional mathematical modeling and numerical investigation of co-flow partially premixed methane/air laminar flames［J］. Combustion and Flame， 2004， 137（4）： 444-457.
8	BENNETT B A V， MCENALLY C S， PFEFFERLE L D， et al. Computational and experimental study of axisymmetric coflow partially premixed methane/air flames［J］. Combustion and Flame， 2000， 123（4）： 522-546.
9	LIU G R. An overview on meshfree methods： For computational solid mechanics［J］. International Journal of Computational Methods， 2016， 13（5）： 1630001.
10	ZHANG X， LIU X H， SONG K Z， et al. Least-squares collocation meshless method［J］. International Journal for Numerical Methods in Engineering， 2001， 51（9）： 1089-1100.
11	WANG L H， QIAN Z H， ZHOU Y T， et al. A weighted meshfree collocation method for incompressible flows using radial basis functions［J］. Journal of Computational Physics， 2020， 401： 108964.
12	BOURANTAS G C， LOUKOPOULOS V C. A meshless scheme for incompressible fluid flow using a velocity-pressure correction method［J］. Computers & Fluids， 2013， 88： 189-199.
13	LIU H Y， GAO X W， XU B B. A free element scheme for simulating two- and three-dimensional incompressible fluid flow［J］. International Journal for Numerical Methods in Fluids， 2021， 93（4）： 1163-1182.
14	GAO X W， LIU H Y， CUI M， et al. Free element method and its application in CFD［J］. Engineering Computations， 2019， 36（8）： 2747-2765.
15	LIU H Y， GAO X W， XU B B. An implicit free element method for simulation of compressible flow［J］. Computers & Fluids， 2019， 192： 104276.
16	MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications［J］. AIAA Journal， 1994， 32（8）： 1598-1605.
17	GOODWIN D， MOFFAT H， SPETH R. Cantera： An object-oriented software toolkit for chemical kinetics， thermodynamics， and transport processes. version 2.2.0［R］. Zenodo， 2015.
18	GAO X W， GAO L F， ZHANG Y， et al. Free element collocation method： A new method combining advantages of finite element and mesh free methods［J］. Computers and Structures， 2019， 215（C）： 10-26.
19	高效伟，徐兵兵，吕军，等. 自由单元法及其在结构分析中的应用［J］. 力学学报， 2019， 51（3）： 703-713.
	GAO X W， XU B B， LÜ J， et al. Free element method and its application in structural analysis［J］. Chinese Journal of Theoretical and Applied Mechanics， 2019， 51（3）： 703-713 （in Chinese）.
20	MOUKALLED F， MANGANI L， DARWISH M. The finite volume method in computational fluid dynamics： An advanced introduction with OpenFOAM® and Matlab®［M］. Cham： Springer， 2016.
21	LIU H Y， GAO X W， PAN T. Pressure-velocity coupled zonal free element method for fluid-solid conjugate heat transfer［J］. Engineering Analysis with Boundary Elements， 2023， 155： 251-263.
22	SMOOKE M D， MITCHELL R E， KEYES D E. Numerical solution of two-dimensional axisymmetric laminar diffusion flames［J］. Combustion Science and Technology， 1986， 67（4-6）： 85-122.
23	SMITH G P， GOLDEN D M， FRENKLACH M， et al. ［EB/OL］. （2023-07-25）［2023-07-29］. .
24	MASTORAKOS E. Turbulent combustion in opposed jet flows［D］. London： Imperial College of Science Technology and Medicine， 1993：156-157
25	KEMPF A， FORKEL H， CHEN J Y， et al. Large-eddy simulation of a counterflow configuration with and without combustion［J］. Proceedings of the Combustion Institute， 2000， 28（1）： 35-40.

参数	数值
甲烷/空气入口宽度L₇	0.016 9
内部圆弧直径D₁	0.400 0
外部圆弧直径D₂	0.810 0
L₁	0.087 1
L₂	0.010 0
L₃	0.195 0
L₄	0.050 0
L₅	0.122 2
L₆	0.080 7

[1]	Hongwei QIAO, Jianhan LIANG, Lin ZHANG, Mingbo SUN, Yuqiao CHEN. Research progress of probability density function approach in supersonic combustion [J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(8): 28802-028802.
[2]	WANG Nana, XIE Qing, SU Xingyu, REN Zhuyin. Active subspace methods for analysis and optimization of turbulent combustion [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021, 42(12): 625228-625228.
[3]	WANG Qiuxiao, HUANG Dongxin, MENG Hua. Numerical simulation of CH₄-LO_<i>x non-premixed turbulent combustion at supercritical pressures [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(7): 2132-2143.
[4]	YANG Yue, YOU Jiaping, SUN Mingbo. Modeling of turbulence-chemistry interactions in numerical simulations of supersonic combustion [J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(1): 261-273.

Control volume free element method and its application in turbulent combustion

RichHTML

PDF (PC)

Knowledge

Abstract

Cite this article

share this article

Figures/Tables 19

References 25

Related Articles 4

Recommended Articles

Metrics

Comments