Abstract
The unsteady flow of H
2
O saturated by tiny nanosized particles with various shapes (platelets, blades, cylinders, and bricks) over a thin slit is reported. For this novel analysis, the influences of the magnetic field and heat generation/absorption are incorporated into the governing model. The dimensionless nanofluid model is attained after the successful implementation of similarity transformations. Then, Runge-Kutta and homotopy analysis algorithms are implemented for mathematical analysis, and the results are obtained by varying the main flow parameters. A decrease in nanofluid motion is observed for a stronger magnetic field (M). Additionally, nanofluid temperature β(η) increases for higher values of M. Decreasing trends in the shear stresses Re
x
0.5
C
Fx
are observed for the unsteadiness parameter S, and this declines with stronger M. Similarly, the local heat transfer rate Re
x
−0.5
N
ux
rises with the unsteady behavior of the fluid. It is observed that the nanofluid motion drops for variable thickness (
λ
) of the slit, whereas the motion becomes slower with stronger magnetic field effects (M).