The effect of non-uniform mass loading on the linear, temporal development of particle-laden shear layers

作者: Giacomo Senatore , Sean Davis , Gustaaf Jacobs

DOI: 10.1063/1.4914070

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摘要: The effect of non-uniformity in bulk particle mass loading on the linear development a particle-laden shear layer is analyzed by means stochastic Eulerian-Eulerian model. From set governing equations two-fluid model, modified Rayleigh equation derived that governs growth spatially periodic disturbance. Eigenvalues for this are determined numerically using proper conditions at co-flowing gas and interface locations. For first time, it shown non-uniform small-inertia particles (Stokes number (St) <0.2) may destabilize inviscid mixing as compared to pure-gas flow. destabilization triggered an energy transfer rate globally flows from phase phase. intermediate St (1 < 10), maximum stabilizing computed, while larger St, two unstable modes coexist. computations stability analysis verified through simulations based Eulerian-Lagrangian (EL) model Euler point rates found numerical experiments EL method very good agreement with validate destabilizing induced presence low St.

参考文章(24)
Chidambaram Narayanan, Djamel Lakehal, George Yadigaroglu, Linear stability analysis of particle-laden mixing layers using Lagrangian particle tracking Powder Technology. ,vol. 125, pp. 122- 130 ,(2002) , 10.1016/S0032-5910(01)00498-3
Saad A. Ragab, J. L. Wu, Linear instabilities in two‐dimensional compressible mixing layers Physics of Fluids. ,vol. 1, pp. 957- 966 ,(1989) , 10.1063/1.857407
R.V.R. Pandya, F. Mashayek, Two-fluid large-eddy simulation approach for particle-laden turbulent flows International Journal of Heat and Mass Transfer. ,vol. 45, pp. 4753- 4759 ,(2002) , 10.1016/S0017-9310(02)00191-6
N. Thevand, E. Daniel, Linear instability of dilute particle-laden compressible mixing layers Physics of Fluids. ,vol. 14, pp. 392- 402 ,(2002) , 10.1063/1.1421367
F. Mashayek, R.V.R. Pandya, Analytical description of particle/droplet-laden turbulent flows Progress in Energy and Combustion Science. ,vol. 29, pp. 329- 378 ,(2003) , 10.1016/S0360-1285(03)00029-7
G. B. Jacobs, W. S. Don, T. Dittmann, High-order resolution Eulerian–Lagrangian simulations of particle dispersion in the accelerated flow behind a moving shock Theoretical and Computational Fluid Dynamics. ,vol. 26, pp. 37- 50 ,(2012) , 10.1007/S00162-010-0214-6
C.T. Crowe, J.N. Chung, T.R. Troutt, Particle mixing in free shear flows Progress in Energy and Combustion Science. ,vol. 14, pp. 171- 194 ,(1988) , 10.1016/0360-1285(88)90008-1
Feng Wen, John Evans, Effect of particle inertia on the instability of a particle-laden flow Computers & Fluids. ,vol. 25, pp. 667- 676 ,(1996) , 10.1016/0045-7930(96)00018-7
S. B. Savage, D. J. Jeffrey, The stress tensor in a granular flow at high shear rates Journal of Fluid Mechanics. ,vol. 110, pp. 255- 272 ,(1981) , 10.1017/S0022112081000736
Babak Shotorban, Gustaaf B. Jacobs, Octavio Ortiz, Quang Truong, An Eulerian model for particles nonisothermally carried by a compressible fluid International Journal of Heat and Mass Transfer. ,vol. 65, pp. 845- 854 ,(2013) , 10.1016/J.IJHEATMASSTRANSFER.2013.06.030