THE CALCULATION OF EIGENVALUES FOR THE STATIONARY PERTURBATION OF COUETTE-POlSEUILLEFLOW  

THE CALCULATION OF EIGENVALUES FOR THE STATIONARYPERTURBATION OF COUETTE-POlSEUILLE FLOW

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作  者:宋金宝 陈建宁 

出  处:《Applied Mathematics and Mechanics(English Edition)》1995年第10期985-994,共10页应用数学和力学(英文版)

摘  要:The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream is sought.A differential eigenvalue equation resembling the Orr-Sommerfeld equation is solved by using a spectral method and an initial-value method (the compound matrix method)for values of the Reynolds number R between O and 2000.The eigenvalues are presemed for several of interesting cases with differentmeasures of mass flux These eigenvalues derermine the rate of decay for the purturbation.The problem considered is that of two-dimensional viscous flow in a straightchannel.The decay of a stationary perturbation from the Couette=Poiseuille flow in the douwnstream is sought.A differential eigenvalue equation resembling the Orr-Sommerfeld equation is solved by using a spectral method and an initial-value method (the compound matrix method)for values of the Reynolds number R between O and 2000.The eigenvalues are presemed for several of interesting cases with differentmeasures of mass flux These eigenvalues derermine the rate of decay for the purturbation.

关 键 词:downstream. eigenvalue problem. Couette-Poiseuille flow 

分 类 号:O175.9[理学—数学]

 

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