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horizontal and vertical downward direction is also discussed.
Key words: Counter-current imbibition phenomenon, Fractured heterogeneous porous
media, Fingering phenomenon, Fingero-imbibition phenomenon, Heterogeneous porous
medium, Homotopy Analysis Laplace Transform Method, Homotopy Perturbation Laplace
Transform Method, Magnetic effect, Nonlinear partial differential equation, Oil recovery
process
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