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                <text>MPHIL</text>
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    <name>Mphil</name>
    <description>Mphil Thesis</description>
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              <text>INFLUENCE OF  RADIATIVE   TRANSFER   ON RAYLEIGH-B??NARD-MARANGONI CONVECTION IN  A  COUPLE-STRESS FLUID  SATURATED POROUS  MEDIUM</text>
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              <text>  SHIBIRAJ  SINGH NINGTHOUJAM</text>
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          <name>Date</name>
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              <text>2010</text>
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              <text>Mathematics</text>
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              <text>The    problem    of    Rayleigh-Benard-Marangoni    convection   in    a couple-stress fluid saturated porous medium with thermal radiation is studied within the framework of linear stability analysis. Only infinitesimal disturbances are considered. The linear stability analysis is based on the normal mode technique. The Darcy law is used to model the momentum equation. The fluid between the boundaries absorbs and emits thermal radiation. The boundaries are treated as black bodies. The absorption coefficient of the fluid is assumed to be the same at all wavelengths and to be  independent  of  the  physical  state.  The  principle  of  exchange  of stabilities is valid and the existence of oscillatory instability is ruled out. The expression for the stationary Darcy-Rayleigh number is obtained as a function   of   the   governing   parameters,   viz.,   the   wave   number, the    couple-stress    parameter,    the    conduction-radiation    parameter, the absorptivity parameter, the Marangoni number and the Biot number. The Galerkin method is used to determine the eigenvalues. The effect of various parameters on the stability of the fluid layer is discussed through figures and tables.</text>
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