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


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
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.


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