TY - JOUR
T1 - On the viscous boundary layer of weakly unstable detonations in narrow channels
AU - Sow, Aliou
AU - Chinnayya, Ashwin
AU - Hadjadj, Abdellah
N1 - 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.
PY - 2018/11/19
Y1 - 2018/11/19
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/630657
UR - http://www.sciencedirect.com/science/article/pii/S0045793018308521
UR - http://www.scopus.com/inward/record.url?scp=85056868597&partnerID=8YFLogxK
U2 - 10.1016/j.compfluid.2018.11.006
DO - 10.1016/j.compfluid.2018.11.006
M3 - Article
SN - 0045-7930
VL - 179
SP - 449
EP - 458
JO - Computers & Fluids
JF - Computers & Fluids
ER -