| ASYMPTOTIC ANALYSIS OF DOWNSTREAM EIGENVALUES FOR STATIONARY PERTURBATION OF COUETTE-POISEUILLE FLOW |
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| 作者姓名： | Song Jin bao Wei En bo Institute of Oceanology Chinese Academy of Sciences Qingdao China Tian Ji wei Physical Oceanography Laboratory Ocean University of China Qingdao China |
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| 作者单位： | Song Jin bao，Wei En bo Institute of Oceanology，Chinese Academy of Sciences，Qingdao 266071，China，Tian Ji wei Physical Oceanography Laboratory，Ocean University of China，Qingdao 266003，China |
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| 基金项目： | Thisworkwassupportedbythe100TalentProjectofChineseAcademyofSciences.(GrantNo:5 2 4 ) |
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| 摘 要： | 1 . INTRODUCTIONIncompressibleviscousflowinachannelhasbeenthesubjectofvariouscomputationalstudies.Avarietyofchannelgeometrycanbeconsidered .ButmostoftheproblemsofthistypeassumethePoiseuilleflowfardownastrainghtchannelorpipeaseithertheentryflowortheexitfloworboth .Theeigenvalue problemthat governstherateofdecayforastationaryperturbationofthePoiseuilleflowinastraightchannelhasbeeninves tigatedbyWilson (196 9)andothers (e .g .,Bram leyandDennis 1982 ;BramleyandDennis 1984 ;Ache 1989) .Re…
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ASYMPTOTIC ANALYSIS OF DOWNSTREAM EIGENVALUES FOR STATIONARY PERTURBATION OF COUETTE-POISEUILLE FLOW |
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| Song Jin bao,Wei En bo Institute of Oceanology,Chinese Academy of Sciences,Qingdao ,China,Tian Ji wei Physical Oceanography Laboratory,Ocean University of China,Qingdao ,China.ASYMPTOTIC ANALYSIS OF DOWNSTREAM EIGENVALUES FOR STATIONARY PERTURBATION OF COUETTE-POISEUILLE FLOW[J].Journal of Hydrodynamics,2003,15(5). |
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| Authors: | SONG Jin-bao Wei En-bo TIAN Ji-wei |
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| Abstract: | Two dimensional viscous flow in a straight channel was studied. The steady Navier Stokes equations were linearized on the assumption of small disurbance from the Couette Poiseuille flow, leading to an eigenvalue equation resembling the Orr Sommerfeld equation. The eigenvalues determine the rate of decay for the stationary perturbation. Asymptotic forms of the downstream eigenvalues were derived in the limiting cases of small and large Reynolds number, for the flow with a general mass flux per unit width, and thus the work of Wilson (1969) and Stocker and Duck (1995) was generalized. The asymptotic results are in agreement with numerical ones presented by Song and Chen (1995). |
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| Keywords: | eigenvalue stationary perturbation Couette Poiseuille flow |
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