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Numerical investigation of flame propagation in pulse detonation engine with variation of obstacle clearance

  • Noor AlamEmail author
  • K. K. Sharma
  • K. M. Pandey
Article
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Abstract

The objective of present research work is to investigate the combustion flame acceleration and performance of pulse detonation engine (PDE). The PDE tube consisting of obstacles of varying gap with fixed blockage ratio is analyzed in the current study. The three-dimensional reactive Navier–Stokes equation along with realizable kε turbulence model is used to simulate the combustion phenomena of hydrogen–air mixture. The one-step irreversible chemical kinetics model analyzes detailed mechanism of exothermic reaction. The propagation of flame and deflagration-to-detonation transition (DDT) run-up length is based on normal propagating regime. As the gap between combustor inner surface and obstacle outer diameter increases, the propagating area near the combustor axis reduces. Therefore, loss of momentum of turbulence combustion particle and unburnt fuel particles (voids) are increased at the wake of obstacle due to the increase in gap (or reduction in obstacle outer diameter), which results reduction in detonation wave velocity and detonation total pressure. However, DDT flame run-up length increases with lower temperature along the axis of PDE combustor. The thrust force generated by PDE combustor also gets reduced as the obstacle diameter is reduced.

Keywords

Combustion Hydrogen DDT Obstacle PDE 

List of symbols

CJ

Chapman Jouguet

\(D_{\text{CJ}}\)

Chapman Jouguet detonation speed

\(D_{\text{i}}\)

Diffusion coefficient

\(F\)

Number of moles of fuel

h

Specific enthalpy

\(k_{\text{th}}\)

Thermal conductivity

\(M_{\text{i}}\)

Symbol denoting species i

\(n\)

Number of chemical species in system

P

Pressure

\(q_{\text{j}}\)

Heat flux

\(R_{\text{G}}\)

Universal gas constant

\(S\)

Source term

T

Temperature

\(u_{\text{ij}}\)

Velocity in i and j direction

\(W_{\text{f}}\)

Molar weight of fuel

Yi

Mass fraction of ith species

Greek symbols

\(\alpha_{\text{i}}\)

Molar fraction

\(\nu_{\text{i,r}}^{{\prime }}\)

Stoichiometric coefficient for reactant i in reaction r

\(\nu_{\text{i,r}}^{{\prime \prime }}\)

Stoichiometric coefficient for product i in reaction r

\(\mu_{\text{t}}\)

Turbulent viscosity

\(\tau_{\text{ij}}\)

Viscous stress tensor

ρ

Density

ϕ

Equivalent ratio of fuel and air

Abbreviations

CFD

Computational fluid dynamics

PDE

Pulse detonation engine

Notes

Acknowledgements

The authors would like to express gratitude to the Department of Mechanical Engineering, NIT Silchar, Assam, India for providing CFD lab facilities, and also, thankful to TEQIP III for providing financial support to carry out the research work.

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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Institute of TechnologySilcharIndia

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