Numerical treatment of squeezed fluid flow under the magnetic influence amid parallel disks

Abstract

Abstact: Detailed investigation has been carried out to examine the behavior of squeezed fluid flow under the magnetic influence amid two infinitely extended disks arranged parallel to each other. Porosity is introduced in the lower disk to study the fluid flow characteristics. Applications in engineering and industrial processes, such as cooling systems and chemical reactors, where magnetic fields regulate fluid flow, need a thorough understanding of this phenomenon. The funamdental equations of Navier Stokes (N-S) Equations in the form of Partial Differential Equations (PDEs) are transformed into Ordinary Differential Equations (ODEs) with the help of similarity tranformation. For ensuring better accuracy MATLABs powerful tool is employed in the form of BVP4C technique, to compute the numerical solution. Fluid flow characteristics are discussed for the stated geometry. The velocity profile is discussed under variations of Non-dimensional parameters (Hartman Ha, Squeezed S, suction / injection A). Major findings of the current research revealed that the effect of the Hartmann Number on greatest value of velocity profile is more remarkable in the case of injection compared to suction. Moreover, Velocity profile exhibits a consistent increase as η rises in both scenarios without injection (A = 0) and with injection (A < 0). Current study opens new avenues in terms of exploration of fluid flow characteristics in context of simplicity, accuracy and verstality of numerical techniques.

Keywords

• Squeeze flow
• Magneto-hydrodynamic
• Parallel infinite disks
• BVP4C
• Suction and injection