Qualitative modeling of the dynamics of detonations with losses

Luiz Faria; Aslan R. Kasimov

doi:10.1016/j.proci.2014.07.006

Qualitative modeling of the dynamics of detonations with losses

Luiz Faria, Aslan R. Kasimov

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. © 2014 The Combustion Institute.

Original language	English (US)
Pages (from-to)	2015-2023
Number of pages	9
Journal	Proceedings of the Combustion Institute
Volume	35
Issue number	2
DOIs	https://doi.org/10.1016/j.proci.2014.07.006
State	Published - 2015

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The research reported here was supported by King Abdullah University of Science and Technology (KAUST).

ASJC Scopus subject areas

General Chemical Engineering
Mechanical Engineering
Physical and Theoretical Chemistry

Access to Document

10.1016/j.proci.2014.07.006

Cite this

@article{135efd0f7dfe48d38134b853c766a7a5,

title = "Qualitative modeling of the dynamics of detonations with losses",

abstract = "We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. {\textcopyright} 2014 The Combustion Institute.",

author = "Luiz Faria and Kasimov, {Aslan R.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The research reported here was supported by King Abdullah University of Science and Technology (KAUST).",

year = "2015",

doi = "10.1016/j.proci.2014.07.006",

language = "English (US)",

volume = "35",

pages = "2015--2023",

journal = "Proceedings of the Combustion Institute",

issn = "1540-7489",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Qualitative modeling of the dynamics of detonations with losses

AU - Faria, Luiz

AU - Kasimov, Aslan R.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The research reported here was supported by King Abdullah University of Science and Technology (KAUST).

PY - 2015

Y1 - 2015

N2 - We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. © 2014 The Combustion Institute.

AB - We consider a simplified model for the dynamics of one-dimensional detonations with generic losses. It consists of a single partial differential equation that reproduces, at a qualitative level, the essential properties of unsteady detonation waves, including pulsating and chaotic solutions. In particular, we investigate the effects of shock curvature and friction losses on detonation dynamics. To calculate steady-state solutions, a novel approach to solving the detonation eigenvalue problem is introduced that avoids the well-known numerical difficulties associated with the presence of a sonic point. By using unsteady numerical simulations of the simplified model, we also explore the nonlinear stability of steady-state or quasi-steady solutions. © 2014 The Combustion Institute.

UR - http://hdl.handle.net/10754/566154

UR - https://linkinghub.elsevier.com/retrieve/pii/S1540748914003162

UR - http://www.scopus.com/inward/record.url?scp=84947302447&partnerID=8YFLogxK

U2 - 10.1016/j.proci.2014.07.006

DO - 10.1016/j.proci.2014.07.006

M3 - Article

SN - 1540-7489

VL - 35

SP - 2015

EP - 2023

JO - Proceedings of the Combustion Institute

JF - Proceedings of the Combustion Institute

IS - 2

ER -

Qualitative modeling of the dynamics of detonations with losses

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this