Abstract
The paper presents a numerical method for analyzing the potential flow around two dimensional body such as single circular cylinder, NACA0012 hydrofoil and double circular cylinders by finite element method. The numerical technique is based upon a general formulation for the Laplace’s equation using Galerkin technique finite element approach. The solution of the systems of algebraic equations is approached by Gaussian elimination scheme. Laplace’s equation is expressed in terms of both steam function and velocity potential formulation. A finite element program is developed in order to analyze the result. The contours of stream and velocity potential function are drawn. The contour of stream function exhibits the characteristics of potential flow and does not intersect each other. The calculated pressure co-efficient shows the pressure decreasing around the forwarded face from the initial total pressure at the stagnation point and reaching a minimum pressure at the top of the cylinder. Key words: Stream function, velocity potential, number of nodes (NDE), number of elements (NEL).
Highlights
The flow past two dimensional body such as circular cylinders and hydrofoil has been the subject of numerous experimental and numerical studies because this type of flow exhibits the very fundamental mechanisms
The Finite Element Method (FEM) was introduced into the field of computational fluid dynamics (CFD) by Chung (1977)
The objective of the present research is to analyze the potential flow around single circular cylinder, NACA 0012 hydrofoil and double circular cylinders by Galerkin technique of finite element method
Summary
The flow past two dimensional body such as circular cylinders and hydrofoil has been the subject of numerous experimental and numerical studies because this type of flow exhibits the very fundamental mechanisms. To achieve the goal of obtaining the detailed information of the flow field around two dimensional bodies, Finite Element Method (FEM) has been emerged as an attractive, powerful tool in many designing process. The FEM was introduced into the field of computational fluid dynamics (CFD) by Chung (1977). The first study concerning the steady flow past a circular cylinder was reported by Thom (1933) for Reynolds number of 10 and 20. Dennis and Chung (1970) introduced finite element method into the field of computational fluid dynamics (CFD) by solving steady flow past a circular cylinder at Reynolds number (Re≤100)
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