Effect of suspended particles in a porous medium layer heated from below saturating a Jeffrey fluid: A Mathematical Theorem

In this study, the influence of suspended particles on thermal convection in a porous layer saturating a Jeffrey fluid is examined. Linear stability theory based on normal modes is employed to derive a mathematical theorem on thermal convection in a porous layer saturating a Jeffrey fluid which states that the viscoelastic thermal convection at marginal state cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter P_l, the Jeffrey parameter γ₃ and suspended particles parameter B, satisfy the inequality.