Effects of inertia on Newtonian fluid in squeezed film by recursive approach

Abstract

The thesis accomplishes the theoretical study of the effect of inertia on Newtonian fluid in squeezed. This research undertaking to get in ingenious knowledge for the procedure of the axisymmetric viscous fluid flow in between parallel plates steadily approaching to each other, as well the inertia effect is under consideration.  Thereby, the crucial part of this thesis is to theoretically investigate rather than experimentally. Be sure that as it may, the expectation from this study is that it could be experimentally performed, so will get practical benefits, in the form of the improvement in the process of flow of oil in bearing and governs with capacity of load – bearing and improving the results of oil in bearing. The primary focused object of this work is to develop a mathematical model, thereby, to calculate the velocity profile likewise radial and axial velocity and pressure. In this research work, the squeezed film of Newtonian fluid between two disks is taken to obtain an analytical solution (PDE – Partial Differential Equations) subject to the favorable boundary conditions, as well as the inertia effect is under consideration. In this thesis the recursive approach is utilized to get an analytical solution and the obtained solution is examined with perturbation method. The examined solution has been found as the main objective of this study. It is analyzed that the recursive approach is easy to use and appears more effective.

Keywords: Newtonian fluid, Non-Newtonian fluids. Ideal fluids Squeezed fluid, Inertia effect, Velocity Profile, Pressure.

DOI: 10.7176/MTM/12-1-04

Publication date: February 28th 2022