Response Surface Methodology of MHD Axisymmetric Hybrid Nanofluid Flow over a Radially Shrinking Surface with Heat Generation

This work features the numerical computation and statistical analysis for the flow and thermal progress of axisymmetric copper-alumina/water hybrid nanofluid subjected to a permeable shrinking disk. The simultaneous factors of magnetic field (MHD), heat generation and suction parameter in the heat transfer development and flow characteristic are observed. The flow and energy equations are mathematically developed based on the boundary layer assumptions. These equations are then simplified with the aids of the similarity variables. The numerical results are then generated by the bvp4c function. The dual solutions are expected to exist upon the consumption of suction parameter. Suction is a valuable effect due to its role in stabilizing the unconfined vorticity within the fluid motion of shrinking surface. For the numerical interpretation, the responses (skin friction coefficient and thermal rate) are computed and observed for few factors like magnetic parameter, suction parameter and heat generation. Meanwhile, the justification of these parameters either they are significant or not for this physical problem is statistically tested using the response surface methodology (RSM) in the Minitab software. From the response surface analysis, all single factors (magnetic, heat generation and suction) contribute to the significant impact on the heat transfer development.