The development of new applications of nanofluids in chemical engineering and other technologies has stimulated significant\ninterest in computational simulations. Motivated by coating applications of nanomaterials, we investigate the transient nanofluid\nflow from a time-dependent spinning sphere using laminar boundary layer theory. The free stream velocity varies continuously\nwith time. The unsteady conservations equations are normalized with appropriate similarity transformations and rendered into\na ninth-order system of nonlinear coupled, multi degree ordinary differential equations. The transformed nonlinear boundary\nvalue problem is solved using the homotopy analysis method (HAM), a semi computational procedure achieving fast convergence.\nComputations are verified with an Adomian decomposition method (ADM). The influence of acceleration parameter, rotational\nbody force parameter, Brownian motion number, thermophoresis number, Lewis number, and Prandtl number on surface shear\nstress, heat, and mass (nanoparticle volume fraction) transfer rates is evaluated. The influence on boundary layer behavior is also\ninvestigated. HAM demonstrates excellent stability and leads to highly accurate solutions.
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