1987 Fiscal Year Final Research Report Summary
Development of universal numerical scheme by finite element method and experimental study for flow characteristics of magnetic fluids
| Project/Area Number |
61550137
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
Fluid engineering
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| Research Institution | Keio University |
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Principal Investigator |
ANDO Tsuneyo Professor, Faculty of Science and Technology, Keio University, 理工学部, 教授 (50051082)
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| Co-Investigator(Kenkyū-buntansha) |
SAWADA Tatsuo Research Wassociate, Faculty of Science and Technology, Keio University, 理工学部, 助手 (00162545)
TANAHASHI Takahiko Professor, Faculty of Science and Technology, Keio University, 理工学部, 教授 (70051638)
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| Project Period (FY) |
1986 – 1987
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| Keywords | Magnetic Fluids / Magnetic Field / Finite Element Method / Finite Difference Method / Non-Newtonian / Fluids / Constitutive Equations / 自然対流 |
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| Research Abstract |
A new finite element method for effectively solving the unsteady Navier-Stokes equation was proposed. This method is a universal extension of the SMAC method and is called generalized-simplified marker and cell(GSMAC) method. The GSMAC method shows accurate and stable results in an unsteady flow in a two-dimensional square cavity and past a circular cylinder, and a natural convection problems in a three-dimensional square cavity. And it requires the almost same amount of computation time and storages as a standard finite difference method. We tried to apply the GSMAC method to a fluid flow of magnetic fluids. Consequently, a few problems as to dealing with magnetic field and magnetic relavation equations are still left.
An experiment in order to verify the numerical results were carried out. Flow visualization of a magnetic fluid is very difficult because the color of a magnetic fluid is black. One can not use the optical technique for flow visualization. Then a liquid crystal is utilized for temperature visualization instead of flow visualization inside a cubic cavity. Temperature distributions on the wall are observed and developments of natural convection are qualitatively investigated. When a magnetic field is applied, dynamic characteristics of natural convection of a magnetic fluid are different from those in a non-magnetic field. These phenomena are dependent on a direction of a magnetic field gradient and its strength. Numerical simulations are also performed. These results are compared with experimental results.
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