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Transported Probability Density Function Method for MILD Combustion

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Modeling and Simulation of Turbulent Combustion

Part of the book series: Energy, Environment, and Sustainability ((ENENSU))

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Abstract

Modeling of Moderate and Intense Low oxygen Dilution (MILD) combustion is a challenging task due to slow reaction rates. The present chapter aims at assessing the predictive capability of transport PDF-based combustion models for two burners (Delft-Jet-in-Hot-Coflow (DJHC) burner and Adelaide JHC burner), which mimics MILD combustion characteristics. In the present work, both the transported PDF approaches, i.e., Lagrangian PDF (LPDF) and multi-environment Eulerian PDF (MEPDF), are considered and assessed. For DJHC burner, both 2D and 3D calculations are reported for varying parameters. However, for Adelaide burner, only 2D computations are reported. In the context of LPDF calculations, different micro-mixing models are considered to investigate the effect of molecular diffusion. In the case of DJHC burner, all the models behave properly and predictions are observed to be in good agreement. However, the model discrepancies are noticed while comparing the species profiles, especially in the case of Adelaide burner. Also, the performance of the models is properly assessed by analyzing the profiles of minor species and RMS of scalar fields. Overall, the performances are improved with increasing O2 content, i.e., higher Damkohler number range.

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Abbreviations

ρ:

Mixture density

T:

Temperature

Z :

Mixture fraction

t :

Time

P:

Favre joint PDF of composition

u i :

Favre mean fluid velocity

S k :

Reaction of species k

ψ :

Composition space vector

\( u_{i}^{{\prime \prime }} \) :

Fluid velocity fluctuation vector

J ik :

Molecular diffusion flux vector

\( \theta_{m,mix} \) :

Micro-mixing

\( m^{i} \) :

Mass of the particle

N p :

Total number of particle in a cell

MILD:

Moderate and Intense Low Oxygen Dilution

JHC:

Jet-in-Hot Coflow

DJHC:

Delft Jet-in-Hot Coflow

PDF:

Probability Density Function

LPDF:

Lagrangian PDF

MEPDF:

Multi-environment Eulerian PDF

DQMOM:

Direct Quadrature Method of Moments

IEM:

Interaction-by-Exchange-with-the-Mean

CD:

Coalescence Dispersion

EMST:

Euclidean Minimum Spanning Tree

LES:

Large Eddy Simulation

SIMPLE:

Semi-Implicit Method for Pressure-Linked Equations

RANS:

Reynolds-Averaged-Navier–Stokes

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Acknowledgements

Author appreciates the computational facilities available at IITK (http://www.iitk.ac.in/cc) to carry out this work.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Technology Kanpur, Kanpur, 208016, India

    Ashoke De

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  1. Ashoke De
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Correspondence to Ashoke De .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Santanu De

  2. Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India

    Avinash Kumar Agarwal

  3. Department of Aerospace Engineering, Indian Institute of Science, Bangalore, Karnataka, India

    Swetaprovo Chaudhuri

  4. Department of Mechanical Engineering, Jadavpur University, Kolkata, West Bengal, India

    Swarnendu Sen

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Ashoke De (2018). Transported Probability Density Function Method for MILD Combustion. In: De, S., Agarwal, A., Chaudhuri, S., Sen, S. (eds) Modeling and Simulation of Turbulent Combustion. Energy, Environment, and Sustainability. Springer, Singapore. https://doi.org/10.1007/978-981-10-7410-3_13

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  • DOI: https://doi.org/10.1007/978-981-10-7410-3_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7409-7

  • Online ISBN: 978-981-10-7410-3

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