Combination of Adomian decomposition method with Fourier transform for solving the squeezing flow influenced by a magnetic field

TL;DR

This paper introduces a combined Fourier transform and Adomian decomposition method to accurately solve unsteady squeezing flow influenced by magnetic fields, improving computational efficiency and boundary condition integration.

Contribution

The novel FTADM approach effectively solves the flow equations with better accuracy and fewer calculations than previous numerical methods.

Findings

Velocity increases with magnetic field strength and inclination angle.

Midway velocity decreases as squeeze number and magnetic inclination increase.

FTADM provides more accurate solutions with fewer computational resources.

Abstract

In this paper the Fourier transform combined with Adomian decomposition method (FTADM) is applied for solving the squeezed unsteady flow between parallel plates influenced by an inclined magnetic field. By moving these plates toward each other, the squeezing flow which is perpendicular to the plates is appeared. We assume that inclination varies from zero to ninety degrees. The momentum and energy equations are solved using the Adomian decomposition method with the combination of Fourier transform. The effect of the squeezed number, the angle of magnetic inclination, and the bottom plate suction/injection on the velocity and temperature are studied. The results show that by increasing the squeeze number, the intensity of the magnetic field and the magnetic inclined angle may increase the velocity near up and bottom plates in the longitudinal direction. However, the velocity near the midway of up and bottom plates may decrease. Moreover, our results show more accuracy and a smaller number of calculations when compared to the previous numerical simulations. This may be attributed to the fact that in the FTADM, one is able to incorporate all boundary conditions into the solution. However, in the semi-analytical methods, the solution may be accurate in a limited portion of the solution domain because only a part of boundary conditions is imposed into the solution.