Effect of magnetohydrodynamics on Newtonian calendering

Abstract

In this paper, an analysis has been presented for the calendering process of incompressible magnetohydrodynamics Newtonian fluid. The lubrication approximation is used to simplify the equations of motion. Exact solutions for velocity profile, pressure gradient, flow rate per unit width, rate of strain, shear stress, maximum shear rate and shear stress at the roll surface are obtained. The value of λ, the distance from the nip to the point where the sheet leaves the rolls, is calculated using Newton–Cotes formula along with the regula-falsi method. Numerical results are presented for pressure distribution, power transmitted to the fluid by both rolls, force separating the two rolls using Newton–Cotes formula with regula-falsi method and Simpson’s rule for different values of magnetic parameter, [Formula: see text]and the corresponding values of λ. Some results are shown graphically. It is found that the magnetic field provides the controlling parameter to increase or decrease power transmission, separation force and distance between attachment and detachment points, which are useful for the calendaring process.