Numerical analysis of the Taylor Galerkin Pressure Correction (TGPC) finite element method for Newtonian fluid

In this study, a time stepping Taylor Galerkin Pressure Correction finite element scheme (TGPC) is investigated on the basis of incompressible Newtonian flows. Naiver-Stoke partial differential equations have been used to describe the motion of the fluid. The equations consist of a time-dependent continuity equation for conservation of mass and time-dependent conservation of momentum equations. Examples considered include a start-up of Poiseuille flow in a rectangular channel for the Newtonian fluid. In that context, three different meshes 2×2, 5×5 and 10×10 are implemented to investigate the effect mesh refinements on the accuracy of the solution. In addition, the behaviour of velocity and pressure are reported in this study. Keywords: Finite element methods, Taylor expansion, Naiver-Stoke equations, Newtonian fluid, Galerkin metho

Taylor Galerkin Pressure Correction (TGPC) Finite Element Method for Incompressible Newtonian Cable-Coating Flows

Based on Taylor Galerkin /pressure-correction (TGPC) finite element method, this work is concerned with numerical study for incompressible Newtonian cable coating flows. The fluid motion is described by using the Naiver-Stoke equations, which include two essential differential equations. One of them is the equation for conservation of mass and the other one is the equation of conservation of momentum equations. Moreover, this study shows the free surface location methodology to determine the free surface position, and the boundary conditions. The Phan-Thien (dh/dt) scheme is applied to calculate the change in the free-surface position. A number of computational investigations have been achieved to see the effect of different factors on the processing of coating. This includes investigating the influence of variation in surface tension on the shear rate and strain-rate stabilisation approac