In the study of buoyancy pressure effects on non-Newtonian Jeffrey fluid that go with the drift through unstable heat and mass change in the presence of a temperature gradient heat source and a primary chemical response inside the transferring species, the dimensionless, unstable, coupled, linear perturbation method is used to resolve equations with partial differentials. All relevant flow parameters are given in analyses and graphical displays. The effects of various flow amounts on temperature, concentration, frictional pressure, rate factor, and the cost of mass and heat transmission are quantified and discussed using graphs and tables.