Abstract
In this research study, we investigated and performed coating analysis of wire by using MHD convective third-order fluid in the presence of a permeable matrix taking into account the Hall current. The equations that control the motion of fluid in the chamber are first modeled and then numerically solved by using 4th order Runge–Kutta–Fehlberg technique. The Runge–Kutta–Fehlberg method is a powerful tool used in this article to attain a numerical solution for a system of nonlinear ordinary differential equations describing the problem of fluid flow. The impact of governing parameters on velocity and temperature profiles is investigated graphically. It is noticed that the velocity profiles ur rise as the value of viscoelastic parameter β increases and slow down when the permeability parameter K and the Hartmann number M increase. Also, the temperature profiles θr enhance as the Brinkman number Br, permeability parameter K, magnetic parameter M, and non-Newtonian parameter β increase. For the sake of validation, the proposed method is also compared with BVPh2, and good agreement is found. Furthermore, a comparison is also done with the published work as a limiting case.
Highlights
Coating process is the major insulation of polymers with molten polymers for mechanical strength and to safeguard against the aggressive surroundings
The wire is extruded in a central line of the die of the coating chamber along with speed V having fluid temperature θW and radius of the wire being RW. e bath of third-grade fluid utilized as a melt polymer, such as polyvinyl chloride (PVC), for coating purposes in the presence of porous media inside the static pressure driven type die of length L, radius Rd, and the temperature θd is shown in Figure 1. e liquid performs on a constant axial pressure gradient, and magnetic field of strength B0 applies in transverse
A clear decline in the velocity profile has been observed in the complete flow domain for greater values of magnetic parameter pointed out. is is due to the application of the magnetic field effect on an electrically conducting liquid which gives rise to opposing force recognized as the Lorentz force. is resistive force has propensity to slow down the motion of the fluid in the boundary layer section
Summary
Coating process is the major insulation of polymers with molten polymers for mechanical strength and to safeguard against the aggressive surroundings. We consider the influence of MHD and heat transfer on the steady flow of a viscoelastic fluid, in which the wire is drawn at a higher speed in the presence of a porous medium and taking into account the Hall current. As far as we know, no one has studied the MHD flow and heat transfer of a viscoelastic fluid to analyze wire coating in the presence of a porous medium. In this context, the governing equations for the velocity and temperature profiles are solved by the 4th order Runge–Kutta method
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