A Heatmap and Sensitivity Analysis of Melting‐Induced Swirl Flow Over a Stretchable Oscillatory Disk

ABSTRACT An incompressible, electrically incompressible hydromagnetic flow of viscous fluid induced by a rotating disk is examined. The fluid movement is also caused due to periodic oscillation of the stretchable disk. The flow thermal phenomenon is affected by thermal radiation. Moreover, the melting process is incorporated in terms of the boundary condition at the disk surface. The highly nonlinear system of time‐based partial differential equations is first normalized through well‐established similarity variables, and then the resulting system is solved by means of a built‐in package in Maplesoft. The graphical representations of velocity and thermal fields in all relevant directions against the dimensionless parameters are shown. The numerical values of shear stresses, tangential stresses, and heat transfer rate for selected values of physical quantities are calculated and shown in tabular form. Such effects are quantified and interpreted using statistical modeling through multiple linear regression, heatmap‐based correlation graphs, and sensitivity analysis. The graphical results are found in good alignment with existing literature. It is deduced that an increase in the melting parameter reduces the temperature curves and the axial velocity field. Furthermore, such a parameter also resulted in a reduction in heat transfer rate at the melting surface.