| Summary: | The unsteady flow of H<sub>2</sub>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<sub>x</sub><sup>0.5</sup>C<sub>Fx</sub> are observed for the unsteadiness parameter S, and this declines with stronger M. Similarly, the local heat transfer rate Re<sub>x</sub><sup>−0.5</sup>N<sub>ux</sub> rises with the unsteady behavior of the fluid. It is observed that the nanofluid motion drops for variable thickness (<inline-formula> <math display="inline"> <semantics> <mi>λ</mi> </semantics> </math> </inline-formula>) of the slit, whereas the motion becomes slower with stronger magnetic field effects (M).
|
|---|
