Mathematical Modeling of Pressure on Cylindrical Ellipse using Side-by-Side Configuration

Abstract

The application of the concept of fluid is often used to solve problems in the daily life. One of them is the problem of fluid around an elliptical cylinder. This study aims to solve the problems of the fluid around two elliptical cylinder configuration with side-by-side using the Navier-Stokes equations. Navier-Stokes equations-incompressible, viscous and unsteadyare solved using finite difference method staggered grid and SIMPLE (Semi Implicit Method for Pressure-Linked Equation) algorithms. Finite difference method is used to complete the grid arrangement, whereas the SIMPLE algorithm is used to obtain components of velocity and pressure value. Results of this study are the pressure value based on fluid flow profile and a mathematical model which received an elliptical cylinder pressure. Profile of fluid flow is simulated by varying the Reynolds number of 100, 1000, 7000, and 10000 as well as variations in the distance between the cylinder with a ratio of 2 ≤ S/a ≤ 6 where L is the distance between the cylinder and a is the minor axis of the cylinder ellipse. Then the pressure is calculated based on the value of the received cylinder pressure components. After obtaining the pressure value, then we create a mathematical model of the stresses imposed on the elliptical cylinder.

Mathematical Modeling of Drag Coefficient Reduction in Circular Cylinder Using Two Passive Controls at Re = 1000

“…While research has been conducted on the fluid flow through a single object, i.e., fluid flow through more than one object with various shapes, sizes and configurations, other research has been done on fluid flow through a circular cylinder with a tandem configuration [4][5][6][7], a circular cylinder enclosed by a screen [8] and an elliptical cylinder with a side-by-side configuration [9]. The use of more than one object means that one object acts as the main object and the others act as passive controls.…”

Effect of Major Axis Length to the Pressure on Ellips

“…We have discussed the two-dimensional fluid flow in a through two elliptical cylinders configuration with side-byside, with the Reynolds number varies and the distance between an elliptical cylinder is 2 ≤ S/a ≤ 4 where S is the distance between the elliptical cylinder and a is the length of the minor axis of the ellipse and the results of this study are at a certain distance is received elliptical cylinder pressure is minimum [6].…”