AbstractPresent research work explores the three‐dimensional nanofluid flow across a horizontal surface with bi‐directional deviation of velocity in power‐law index n. Porosity, the ohmic effect with other parameters, thermophoresis, Prandtl number, Schmidt number, and Brownian motion in the flow geometry are taken into consideration. Dimensional nonlinear formulations are changed into dimensionless expressions by employing the appropriate similarity transformation. Utilizing shooting procedure and the fourth‐fifth‐order Runge–Kutta integration approach, the numerical result has been achieved, and velocity, temperature, and concentration profiles are presented through graphs to illustrate the findings. The current outcome has numerous industrial applications, including the production of paper, metal extrusion, and optical fiber. The major findings of the present research are good agreement compared to the data that are accessible in the limiting instance compared with the earlier results.
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