Numerical investigation of MHD Prandtl melted fluid flow towards a cylindrical surface: comprehensive outcomes

Abstract

In this work, we explore the mathematical structuring of Prandtl fluid flow towards an inclined stretched cylinder. Modelling of this newly proposed model is manifested in three different ways. A momentum equation for the concerned model is established under the role of an induced Lorentz field, whereas the thermal and mass transport mechanisms account for the role of the heat generation–absorption process and chemical reaction phenomenon. For a more realistic and schematic analyses of the present problem, the field expressions are expressed mathematically in terms of PDEs. The obtained intricate differential system is converted into ODEs by means of transformations. Improved numerical simulation is conducted using the Cash and Carp method to foresee the pattern of thermophysical distribution towards existing involved constraints. It is noticed that Prandtl fluid velocity declines for increases in both the Prandtl fluid parameter and elastic parameter. Further, the fluid temperature increases the effects of the magnetic field, curvature, and the melting parameters while the concentration profile shows decline curves for both the Schmidt and chemical reaction parameters. It is important to note that this nature is preserved for both the magnetized and non-magnetized cases.