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Research Papers

Assessment of External Heat Transfer Modeling of a Laboratory-Scale Combustor: Effects of Pressure-Housing Environment and Semi-Transparent Viewing Windows

[+] Author and Article Information
P. Rodrigues, O. Gicquel, N. Darabiha

Laboratoire EM2C, CNRS, CentraleSupélec,
Université Paris-Saclay,
8-10 Rue Joliot Curie,
Gif-sur-Yvette cedex 91192, France

K. P. Geigle

German Aerospace Center (DLR),
Institute of Combustion Technology,
Pfaffenwaldring 38-40,
Stuttgart 70569, Germany

R. Vicquelin

Laboratoire EM2C, CNRS, CentraleSupélec,
Université Paris-Saclay,
8-10 Rue Joliot Curie,
Gif-sur-Yvette cedex 91192, France
e-mail: ronan.vicquelin@centralesupelec.fr

1Corresponding author.

Manuscript received July 13, 2018; final manuscript received July 30, 2018; published online October 4, 2018. Assoc. Editor: Michael Mueller.

J. Eng. Gas Turbines Power 141(3), 031011 (Oct 04, 2018) (10 pages) Paper No: GTP-18-1488; doi: 10.1115/1.4041242 History: Received July 13, 2018; Revised July 30, 2018

Many laboratory-scale combustors are equipped with viewing windows to allow for characterization of the reactive flow. Additionally, pressure housing is used in this configuration to study confined pressurized flames. Since the flame characteristics are influenced by heat losses, the prediction of wall temperature fields becomes increasingly necessary to account for conjugate heat transfer (CHT) in simulations of reactive flows. For configurations similar to this one, the pressure housing makes the use of such computations difficult in the whole system. It is, therefore, more appropriate to model the external heat transfer beyond the first set of quartz windows. The present study deals with the derivation of such a model, which accounts for convective heat transfer from quartz windows external face cooling system, free convection on the quartz windows 2, quartz windows radiative properties, radiative transfer inside the pressure housing, and heat conduction through the quartz window. The presence of semi-transparent viewing windows demands additional care in describing its effects in combustor heat transfers. Because this presence is not an issue in industrial-scale combustors with opaque enclosures, it remains hitherto unaddressed in laboratory-scale combustors. After validating the model for the selected setup, the sensitivity of several modeling choices is computed. This enables a simpler expression of the external heat transfer model that can be easily implemented in coupled simulations.

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Figures

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Fig. 1

Design of burner, combustion chamber, and optical module of pressure housing

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Fig. 2

Measured temperatures of the inner and outer surface of the combustion chamber windows along the vertical axis for case 1 [29]. Lines correspond to fits of the experimental data.

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Fig. 3

Representation of the heat exchanges outside the combustion chamber. The defined sizes are L = 120 mm, l = 60 mm, b = 108 mm, e1 = 3 mm and e2 = 40 mm. Brown faces correspond to stainless steel surrounding air inside the pressure housing.

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Fig. 4

Combustion chamber quartz cooling system (from ISF communication)2

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Fig. 5

Internal transmittance of a 1 cm Corning HPFS 7980 quartz slab (from Ref. [36])

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Fig. 6

Computed quartz slab absorptance (Aλslab), transmittance (Tλslab) and reflectance (Rλslab) as a function of the wavelength λ for a 3 mm thickness. The quartz reference is Corning HPFS 7980.

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Fig. 8

Planck mean modeled external absorptance (Aslab¯(T)), transmittance (Tslab¯(T)) and reflectance (Rslab¯(T)) as a function of incident source temperature T for a 3 mm thickness Corning HPFS 7980 quartz

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Fig. 7

Transparent and nontransparent spectral band model for a 3 mm thickness Corning HPFS 7980 quartz

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Fig. 9

Thermal conductivity of quartz as a function of temperature T. Shaded region corresponds to quartz temperatures higher than their annealing temperature (1315 K).

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Fig. 10

Sensitivity of the predicted conductive flux to the stainless steel temperature T3 (a), the heat transfer coefficient h1¯ (b), the quartz separating distance b (c), the temperature of air inside the pressure housing Tinair (d) and the external ambient temperature Toutair (e). Black vertical dashed lines correspond to nominal values: (a) sensitivity to the temperature T3, (b) sensitivity to the heat transfer coefficient h1¯, (c) sensitivity to the distance b, (d) sensitivity to the temperature Tinair, and (e) sensitivity to the temperature Toutair.

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Fig. 11

Evolution of error between complete and simplified models on radiative flux exiting quartz windows 1 as a function of stainless steel emissivity ελ,3

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