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Review Article

Rate-Controlled Constrained-Equilibrium Application in Shock Tube Ignition Delay Time Simulation

[+] Author and Article Information
Guangying Yu

Mechanical and Industrial
Engineering Department,
Northeastern University,
Boston, MA 02115
e-mail: yu.g@husky.neu.edu

Fatemeh Hadi

Department of Mechanical and
Manufacturing Engineering,
Tennessee State University,
Nashville, TN 37212
e-mail: fhadi@tnstate.edu

Hameed Metghalchi

Mechanical and Industrial
Engineering Department,
Northeastern University,
Boston, MA 02115
e-mail: metghalchi@coe.neu.edu

Contributed by the Advanced Energy Systems Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received July 31, 2018; final manuscript received August 13, 2018; published online September 26, 2018. Special Editor: Reza Sheikhi.

J. Energy Resour. Technol 141(2), 020801 (Sep 26, 2018) (5 pages) Paper No: JERT-18-1594; doi: 10.1115/1.4041288 History: Received July 31, 2018; Revised August 13, 2018

The rate-controlled constrained-equilibrium (RCCE), a model order reduction method, assumes that the nonequilibrium states of a system can be described by a sequence of constrained-equilibrium kinetically controlled by relatively a small number of constraints within acceptable accuracies. The full chemical composition at each constrained-equilibrium state is obtained by maximizing (or minimizing) the appropriate thermodynamic quantities, e.g., entropy (or Gibbs functions) subject to the instantaneous values of the constraints. Regardless of the nature of the kinetic constraints, RCCE always guarantees correct final equilibrium state. Ignition delay times measured in shock tube experiments with low initial temperatures are significantly shorter than the values obtained by constant volume models. Low initial temperatures and thus longer shock tube test times cause nonideal heat transfer and fluid flow effects such as boundary layer growth and shock wave attenuation to gradually increase the pressure (and simultaneously increase the temperature) before ignition. To account for these effects, in this paper, the RCCE prescribed enthalpy and pressure (prescribed h/p) model has been further developed and has been applied to methane shock tube ignition delay time simulation using GRI-Mech 3.0. Excellent agreement between RCCE predictions and shock tube experimental data was achieved.

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Figures

Grahic Jump Location
Fig. 1

A typical prescribed pressure profile of methane/air combustion shock tube experiment

Grahic Jump Location
Fig. 2

Comparison of predicted methane/air ignition delay time of DKM and RCCE constant e/v and prescribed h/p models and experimental data of Huang et al. [41] from 1024 K to 1295 K at pressure of 40 atm and equivalence ratio of ϕ=1

Grahic Jump Location
Fig. 3

Comparison of predicted methane/air ignition delay time of DKM and RCCE constant e/v and prescribed h/p models and experimental data of Huang et al. [41] from 1076 K to 1309 K at pressure of 23 atm and equivalence ratio of ϕ=1

Grahic Jump Location
Fig. 4

Comparison of predicted methane/air ignition delay time of prescribed h/p and constant e/v models for both DKM and RCCE method together with experimental data of Burke et al. [42] from 927 K to 1087 K at pressure of 25 atm and equivalence ratio of ϕ=1

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