TY - JOUR

T1 - Forced Oscillations of a Pseudoshock in Transonic Gas Flow in a Diffuser

AU - Lipatov, I. I.

AU - Liapidevskii, V. Yu

AU - Chesnokov, A. A.

N1 - Funding Information: The study was carried out with the financial support of the Russian Foundation of Basic Research (project no. 19-01-00498). Publisher Copyright: © 2021, Pleiades Publishing, Ltd.

PY - 2021/11

Y1 - 2021/11

N2 - The mathematical model of barotropic gas flow based on the two-layer flow representation with the regions of supersonic core and near-wall boundary layer is applied to the description of shock-wave structures in channels and nozzles of variable cross-section. The unsteady pseudoshock model is written in the form of the system of five inhomogeneous conservation laws. The disturbance propagation velocities are determined and the sufficient conditions of the hyperbolicity of the equations of motion are formulated. The formation of quasistationary shock waves and pseudoshock front oscillations is simulated numerically in the cases of periodic injection or variations in the channel exit section. The model is verified by means of the comparison with the available experimental data on forced pseudoshock oscillations in a transonic channel.

AB - The mathematical model of barotropic gas flow based on the two-layer flow representation with the regions of supersonic core and near-wall boundary layer is applied to the description of shock-wave structures in channels and nozzles of variable cross-section. The unsteady pseudoshock model is written in the form of the system of five inhomogeneous conservation laws. The disturbance propagation velocities are determined and the sufficient conditions of the hyperbolicity of the equations of motion are formulated. The formation of quasistationary shock waves and pseudoshock front oscillations is simulated numerically in the cases of periodic injection or variations in the channel exit section. The model is verified by means of the comparison with the available experimental data on forced pseudoshock oscillations in a transonic channel.

KW - barotropic gas

KW - equations of long waves

KW - pseudoshock

KW - transonic flow

UR - http://www.scopus.com/inward/record.url?scp=85120177768&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/3a2e1c15-f626-3ae0-b800-58e3acfefce2/

U2 - 10.1134/S0015462821060094

DO - 10.1134/S0015462821060094

M3 - Article

AN - SCOPUS:85120177768

VL - 56

SP - 860

EP - 869

JO - Fluid Dynamics

JF - Fluid Dynamics

SN - 0015-4628

IS - 6

ER -