THE CALCULATION OF EIGENVALUES FOR THE STATIONARY PERTURBATION OF COUETTE-POISEUILLE FLOW  

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

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作  者:宋金宝 陈建宁 

出  处:《Applied Mathematics and Mechanics(English Edition)》1995年第5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 downstream is sought A differential eigenvahue equation resembling the orr-Sommerfeld equation is solved by using a spectral method and an imitial-vahue method(the compound matuix method )for values of the Reynolds number R between oo and 2000 The eigenvahues are presented for several of interesting cases with differentmeasures of mass flux ,These eigenvalues determine 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 downstream is sought A differential eigenvahue equation resembling the orr-Sommerfeld equation is solved by using a spectral method and an imitial-vahue method(the compound matuix method )for values of the Reynolds number R between oo and 2000 The eigenvahues are presented for several of interesting cases with differentmeasures of mass flux ,These eigenvalues determine the rate of decay for the purturbation.

关 键 词:dounstrem . eigenvalue problem . Couette-poiseuille flow 

分 类 号:O351[理学—流体力学]

 

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