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In this paper, authors investigatenon-Darcy homogeneous chemical reactions of order ‘n’ofnanofluid is discussed.The porous medium in which vertically plate kept with constant temperature and concentration. Melting and dissipation of viscosity observed in the nanofluid flow. The influence of double dispersion and radiation is analyzed. The flow maintained with invariant of time, constant density, laminar, forced and natural convection taken into account for the problem, the physical significance extracted from mathematical statements in terms of partial derivatives along with boundary conditions. The nonlinear governing partial mathematical derivatives converted into standard ordinary differential mathematical equations with the aid of similarity variable. These equations are numerically solved by MATLAB ‘bvp4c’ iterative programming methodology to seek out results of velocity-field, temperature-field, concentration-field extensively. The effect of dimensionless parameters such as Brownianmotion, thermal dispersion, melting, radiation, thermophoresis, and dimensionless numbers such as Eckert, Lewis, Prandtl, are analyzed.The heat transfer-Nusselt number and mass transfer-Sherwood number that characterize the heat transfer rate and mass transfer rate respectively outlined.

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