The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow

Song Jinbao; Chen Jianning

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(10): 917-926

Song Jinbao, Chen Jianning. The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1995, 16(10): 917-926.

Citation:

Song Jinbao, Chen Jianning. The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1995, 16(10): 917-926.

Citation:

Song Jinbao, Chen Jianning. The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow[J]. Applied Mathematics and Mechanics, 1995, 16(10): 917-926.

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The Calculation of Eigenvalues for the Stationary Perturbation of Couette-Poiseuille Flow

Department of Mathemaics, University of Inner Mongolia, Huhehaote 010021, P. R. China

Received Date: 1994-12-30
Publish Date: 1995-10-15

Abstract

Abstract

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.
- downstream,
- eigenvalue problem,
- Couette-Poiseuille flow

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References(9)

References

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