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 equati...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.展开更多
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 equat...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.展开更多
文摘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.
文摘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.
