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Oscillating mixed convection on the fully developed flow between two infinitely long vertical walls heated asymmetrically in a porous medium, has been studied. It experiences g -jitter force associated with microgravity in the field of space science with reference to crystal growth in space. Our present study can be exposed to a real life situation of a microgravity field. The time varying gravity field generates oscillatory free convection velocity field. This is combined with the forced oscillating flow driven by a pressure gradient.