• Chinese Optics Letters
  • Vol. 14, Issue 11, 111201 (2016)
Lifang Zhang, Fei Wang*, Haidan Zhang, Jianhua Yan, and Kefa Cen
Author Affiliations
  • State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou 310027, China
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    DOI: 10.3788/COL201614.111201 Cite this Article Set citation alerts
    Lifang Zhang, Fei Wang, Haidan Zhang, Jianhua Yan, Kefa Cen. Simultaneous measurement of gas distribution in a premixed flame using adaptive algebraic reconstruction technique based on the absorption spectrum[J]. Chinese Optics Letters, 2016, 14(11): 111201 Copy Citation Text show less

    Abstract

    Four tomography algorithms, including the algebraic reconstruction technique, simultaneous iterative reconstruction technique, the multiplicative algebraic reconstruction technique, and the adaptive algebraic reconstruction technique (AART), are compared with each other based on the tunable diode laser absorption spectroscopy technique; the determination of the relaxation parameter is discussed to improve reconstruction quality and shorten computational time as much as possible. The calculated results demonstrate that the AART algorithm can produce the reconstruction results with better quality and less computational time. In the experimental measurement, the AART algorithm with a two-line thermometry scheme is adopted to measure the spatial distribution of H2O temperature and concentration, two H2O absorption lines near 1397.8 nm are selected, the temperature and H2O concentration in the McKenna plat premixed flames are experimentally reconstructed and analyzed, and the results of integrated tomography reconstruction are consistent with the thermocouple traverse measurement.
    A=+ln(ItI0)dv=+(PS(T)vXL)dv,(1)

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    Avm,j=i=1N2[PS(T)X]vm,iLi,j=i=1N2αvm,iLi,j,(2)

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    αi(K+1)=αi(K)+λAjj=1Jαi(K)Ljj=1JLi,j2Lj,(3)

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    αi(K+1)=αi(K)+λJ[(Ajj=1Jαi(K)Lj)Li,j]j=1JLi,j2.(4)

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    αi(k+1)=Rikαi(k),i=1,2,N2,Rik={1λLi,j*(1Amj=1Jαi(K)Lj),j=1Jαi(K)Lj01,otherwise,(5)

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    αi(k+1)=αi(k)+λ(Ajj=1Jαi(K)Lj)j=1Jαi(K)Ljj=1J(Li,jj=1Jαi(K)Lj).(6)

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    e=i=1N2|xixi|i=1N2xi,(7)

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    ε=[i=1N2(xix¯)(xix¯)][i=1N2(xix¯)2i=1N2(xix¯2)]1/2,(8)

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    Lifang Zhang, Fei Wang, Haidan Zhang, Jianhua Yan, Kefa Cen. Simultaneous measurement of gas distribution in a premixed flame using adaptive algebraic reconstruction technique based on the absorption spectrum[J]. Chinese Optics Letters, 2016, 14(11): 111201
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