Regression and numerical treatment of micropolar fluid induced by the melting stretchable disk

Abstract

An incompressible two-dimensional laminar flow of micropolar fluid subjected to a stretched surface is examined. The steady-state thermally radiative flow experiences the influence of melting phenomenon. The dimensionalized flow model for axi-symmetric flow is governed through similarity variables. Runge-Kutta-Fehlberg (RKF-45) method is applied to the finalized non-linear governing equations to obtain the numerical solutions. The graphical depictions on flow and thermal profiles are discussed along with the numeric values of couple stresses, shear stresses, and heat transfer rate. Regression analysis is used to study how the parameters affected the variables. The results indicated that the micropolar parameter turned to rotate the liquid particles in reverse way. The rotational effects are significant away from the surface of disk as comparative to the disk vicinity area. The magnitude of the axial velocity field and temperature profiles are declined by the melting phenomenon. The vortex viscosity parameter and magnetic parameter have been found to have a significant effect on understudy variables.

Keywords

• Stretchable disk
• Micropolar fluid
• Melting phenomenon
• Thermal radiation
• Regression analysis