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Penetrative convection due to absorption of radiation in a magnetic nanofluid saturated porous layer

. The term M 0 and χ are the constant mean value of magnetization and tangent magnetic susceptibility respectively. The parameters χ and χ2 (chord magnetic susceptibility) can be estimated by using the Langevin parameter as α L = m H 0 k B T 0 = { □     1 ,         χ = M s m 3 k B T 0 ,   χ 2 = χ □     1 ,         χ = M s m k B T 0 L ′ ( α L ) ,   χ 2 = M s T

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