On the viscous boundary layer of weakly unstable detonations in narrow channels

Aliou Sow, Ashwin Chinnayya, Abdellah Hadjadj

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

The present study investigates, via high performance computing simulations, detonations propagating in small channel filled with a working fluid representative of the thermodynamic and transport properties of a stoichiometric mixture of propane and oxygen. With the help of a high-order compressible Navier–Stokes solver based on Weighted Essentially Non-Oscillatory (WENO5) scheme coupled with the Strang splitting method, we investigate the 2D mean structure of weakly unstable non-ideal detonations. The mean procedure is conducted on the instantaneous position of the shock. To overcome the expensive CPU time needed due to the long lengths required to get a self-similar solution that is independent from the initial solution, we implemented a recycling block technique (RBT). The RBT combined with the addition of a negative inflow in the detonation propagation direction allows to reduce the domain length by a factor of ten. Moreover, the investigation of the viscous boundary layer characteristics using different channel heights and different activation energies show that the displacement thickness scales in Rex−α,α ≈  0.56–0.65. For the skin-friction coefficient we find a scaling in Rex−1.
Original languageEnglish (US)
Pages (from-to)449-458
Number of pages10
JournalComputers & Fluids
Volume179
DOIs
StatePublished - Nov 19 2018

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The support of the CRIHAN computing center through the 1998022-2013 HPCGrant is gratefully acknowledged. The first author wishes to thank MUVAR ANR (Agence Nationale de la Recherche) project for providing part of the financial support.

Fingerprint

Dive into the research topics of 'On the viscous boundary layer of weakly unstable detonations in narrow channels'. Together they form a unique fingerprint.

Cite this