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    On the Onset of Gravity Modulated Filtration Convection in Grade Fluids Via Mathieu Functions

    Source: Journal of Heat Transfer:;2020:;volume( 142 ):;issue: 009::page 092701-1
    Author:
    Saravanan, S.
    ,
    Kousalya, M.
    DOI: 10.1115/1.4047265
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The effect of gravity modulation in controlling the onset of convection in a porous medium saturated with a second-grade fluid of Rivlin–Ericksen type is studied. The Brinkman equation of flow through porous media is considered with effective viscosity different from fluid viscosity. Necessary conditions for the occurrence of instability due to infinitesimal perturbations are found using the method of normal modes. Following Floquet analysis, the thresholds corresponding to synchronous and subharmonic solutions and the transition between them are predicted using the Mathieu functions.
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      On the Onset of Gravity Modulated Filtration Convection in Grade Fluids Via Mathieu Functions

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4274791
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    contributor authorSaravanan, S.
    contributor authorKousalya, M.
    date accessioned2022-02-04T22:03:36Z
    date available2022-02-04T22:03:36Z
    date copyright7/8/2020 12:00:00 AM
    date issued2020
    identifier issn0022-1481
    identifier otherht_142_09_092701.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4274791
    description abstractThe effect of gravity modulation in controlling the onset of convection in a porous medium saturated with a second-grade fluid of Rivlin–Ericksen type is studied. The Brinkman equation of flow through porous media is considered with effective viscosity different from fluid viscosity. Necessary conditions for the occurrence of instability due to infinitesimal perturbations are found using the method of normal modes. Following Floquet analysis, the thresholds corresponding to synchronous and subharmonic solutions and the transition between them are predicted using the Mathieu functions.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Onset of Gravity Modulated Filtration Convection in Grade Fluids Via Mathieu Functions
    typeJournal Paper
    journal volume142
    journal issue9
    journal titleJournal of Heat Transfer
    identifier doi10.1115/1.4047265
    journal fristpage092701-1
    journal lastpage092701-5
    page5
    treeJournal of Heat Transfer:;2020:;volume( 142 ):;issue: 009
    contenttypeFulltext
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