0
Research Papers

A New Model Approach for Convective Wall Heat Losses in DQMOM-IEM Simulations for Turbulent Reactive Flows

[+] Author and Article Information
Yeshaswini Emmi, Andreas Fiolitakis, Manfred Aigner

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

Franklin Genin, Khawar Syed

GE (Switzerland) GmbH,
Brown Boveri Strasse 7,
Baden 5400, Switzerland

Manuscript received June 26, 2018; final manuscript received September 25, 2018; published online November 20, 2018. Editor: Jerzy T. Sawicki.

J. Eng. Gas Turbines Power 141(5), 051001 (Nov 20, 2018) (10 pages) Paper No: GTP-18-1372; doi: 10.1115/1.4041726 History: Received June 26, 2018; Revised September 25, 2018

A new model approach is presented in this work for including convective wall heat losses in the direct quadrature method of moments (DQMoM) approach, which is used here to solve the transport equation of the one-point, one-time joint thermochemical probability density function (PDF). This is of particular interest in the context of designing industrial combustors, where wall heat losses play a crucial role. In the present work, the novel method is derived for the first time and validated against experimental data for the thermal entrance region of a pipe. The impact of varying model-specific boundary conditions is analyzed. It is then used to simulate the turbulent reacting flow of a confined methane jet flame. The simulations are carried out using the DLR in-house computational fluid dynamics code THETA. It is found that the DQMoM approach presented here agrees well with the experimental data and ratifies the use of the new convective wall heat losses model.

FIGURES IN THIS ARTICLE
<>
Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Pope, S. , 1985, “ PDF Methods for Turbulent Reactive Flows,” Prog. Energy Combust. Sci., 11(2), pp. 119–192. [CrossRef]
Valiño, L. , 1998, “ A Field Monte Carlo Formulation for Calculating the Probability Density Function of a Single Scalar in a Turbulent Flow,” Flow, Turbul. Combust., 60, pp. 157–172. [CrossRef]
Pozorski, J. , and Minier, J.-P. , 2006, “ Stochastic Modelling of Conjugate Heat Transfer in Near-Wall Turbulence,” Int. J. Heat Fluid Flow, 27(5), pp. 867–877. [CrossRef]
Gerlinger, P. , 2017, “ Lagrangian Transported MDF Methods for Compressible High Speed Flows,” J. Comput. Phys., 339, pp. 68–95. [CrossRef]
Fiolitakis, A. , Ess, P. R. , Gerlinger, P. , and Aigner, M. , 2014, “ Modeling of Heat Transfer and Differential Diffusion in Transported PDF,” Combust. Flame, 161(8), pp. 2107–2119. [CrossRef]
Yadav, R. , Kushari, A. , Eswaran, V. , and Verma, A. K. , 2014, “ A Detailed Validation Study of Multi-Environment Eulerian Probability Density Function Transport Method for Modeling Turbulent Nonpremixed Combustion,” ASME J. Eng. Gas Turbines Power, 136(8), p. 081506. [CrossRef]
De, A. , Dongre, A. , and Yadav, R. , 2013, “ Numerical Investigation of Delft-Jet-in-Hot-Coflow (DJHC) Burner Using Probability Density Function (PDF) Transport Modeling,” ASME Paper No. GT2013-95390.
Lee, J. , Jeon, S. , and Kim, Y. , 2015, “ Multi-Environment Probability Density Function Approach for Turbulent CH4/H2 Flames Under the MILD Combustion Condition,” Combust. Flame, 162(4), pp. 1464–1476. [CrossRef]
Lee, J. , and Kim, Y. , 2012, “ DQMOM Based PDF Transport Modeling for Turbulent Lifted Nitrogen-Diluted Hydrogen Jet Flame With Autoignition,” Int. J. Hydrogen Energy, 37(23), pp. 18498–18508. [CrossRef]
Akroyd, J. , Smith, A. J. , McGlashan, L. R. , and Kraft, M. , 2010, “ Numerical Investigation of DQMoM-IEM as a Turbulent Reaction Closure,” Chem. Eng. Sci., 65(6), pp. 1915–1924. [CrossRef]
Abbrecht, P. H. , and Churchill, S. W. , 1960, “ The Thermal Entrance Region in Fully Developed Turbulent Flow,” Am. Inst. Chem. Eng., 6(2), pp. 268–273. [CrossRef]
Lammel, O. , Stöhr, M. , Kutne, P. , Dem, C. , Meier, W. , and Aigner, M. , 2012, “ Experimental Analysis of Confined Jet Flames by Laser Measurement Techniques,” ASME J. Eng. Gas Turbines Power, 134, p. 41506. [CrossRef]
Löwe, J. , Probst, A. , Knopp, T. , and Kessler, R. , 2016, “ Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite Volume Flow Solvers,” AIAA J., 54(10), pp. 2961–2971. [CrossRef]
Reichling, G. , Noll, B. , and Aigner, M. , 2013, “ Development of a Projection-Based Method for the Numerical Calculation of Compressible Reactive Flows,” AIAA Paper No. 2013-1003.
Fox, R. O. , 2003, Computational Models for Turbulent Reacting Flows, Cambridge University Press, Cambridge, UK.
Möbus, H. , Gerlinger, P. , and Brüggemann, D. , 2001, “ Comparison of Eulerian and Lagrangian Monte Carlo PDF Methods for Turbulent Diffusion Flames,” Combust. Flame, 124(3), pp. 519–534. [CrossRef]
Pope, S. B. , 1976, “ The Probability Approach to the Modelling of Turbulent Reacting Flows,” Combust. Flame, 27, pp. 299–312. [CrossRef]
Gerlinger, P. , 2005, Numerische Verbrennungssimulation, Springer, Berlin.
Villermaux, J. , and Devillon, J. , 1972, “ Representation de la coalescence et de la predispersion des domaines de segregation dans un fluide par un modele d'interaction phenomenologique [representation of the coalescence and the predispersion of segregation domains in a fluid With a phenomenological interaction model],” Second International Symposium on Chemical Reacting Engineering, Amsterdam, The Netherlands, May 2–4, pp. 1–13.
Wang, L. , and Fox, R. O. , 2004, “ Comparison of Micromixing Models for CFD Simulation of Nanoparticle Formation,” Am. Inst. Chem. Eng., 50(9), pp. 2217–2232. [CrossRef]
Raman, V. , Pitsch, H. , and Fox, R. O. , 2003, “ Quadrature Moment Method for the Simulation of Turbulent Reactive Flows,” Annu. Res. Briefs, pp. 261–275.
Wilcox, D. C. , 1988, “ Reassessment of the Scale-Determining Equation for Advanced Turbulence Models,” AIAA J., 26(11), pp. 1299–1310. [CrossRef]
Raithby, G. , and Schneider, G. , 1979, “ Numerical Solution of Problems in Incompressible Fluid Flow: Treatment of the Velocity Pressure Coupling,” Numer. Heat Transfer, 2(4), pp. 417–440. [CrossRef]
Kazakov, A. , and Frenklach, M. , 1994, “ Reduced Reaction Sets Based on GRI-Mech 1.2,” University of California at Berkley, Berkley, CA, accessed Oct. 22, 2018, http://www.me.berkeley.edu/drm/
Yin, Y. , Nau, P. , Boxx, I. , and Meier, W. , 2015, “ Characterisation of a Single-Nozzle Floy Model Combustor Using kHz Laser Diagnostics,” ASME Paper No. GT2015-43282.
Gövert, S. , Mira, D. , Zavala-Ake, M. , Kok, J. , Vázquez, M. , and Houzeaux, G. , 2017, “ Heat Loss Prediction of a Confined Premixed Jet Flame Using a Conjugate Heat Transfer Approach,” Int. J. Heat Mass Transfer, 107, pp. 882–894. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Experimental setup of the confined jet flame [12]

Grahic Jump Location
Fig. 2

Temperature distribution for p1 = 0.233 and ε = 10−5

Grahic Jump Location
Fig. 3

Favre-RMS of temperature with varying ε and p1 = 0.233

Grahic Jump Location
Fig. 4

Favre-RMS of temperature with varying ε and p1 = 0.233. Scale zoomed in to wall.

Grahic Jump Location
Fig. 5

Favre-RMS of temperature with varying p1 and ε = 1 × 10−5

Grahic Jump Location
Fig. 6

Axial velocity streamlines (m/s)

Grahic Jump Location
Fig. 7

Favre-average of temperature (K)

Grahic Jump Location
Fig. 8

Favre-average of axial velocity

Grahic Jump Location
Fig. 9

Favre-average of temperature

Grahic Jump Location
Fig. 10

Favre-average of CH4 mole fraction

Grahic Jump Location
Fig. 11

Favre-average of H2O mole fraction

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In