Presenting a two-dimensional mathematical model with finite element numerical solution method for conducting fluids

Abstract

In recent years, many methods have been invented to solve differential equations with partial derivatives, including Poisson's equations. It should be noted that solving Poisson's differential equations gives magnetic fields. And this solution depends on the boundary conditions of the field. Analytical methods of solving these equations and obtaining magnetic fields often provide a difficult solution for solving field problems. Based on this, numerical methods are proposed to solve electromagnetic equations, which mostly have a simple solution and good accuracy. The possibility of using a computer along with numerical methods is one of the advantages of these methods, because these methods can be easily used in a computer program algorithm and speed up the calculation process. Boyer (1970) developed the weight vector in three dimensions. Baker (1982) tested flowmeters for low conductivity liquids and also reviewed flowmeters for liquid metals in (1969, 1977). Designs of flowmeters for non-conducting dielectric liquids have been developed by Rabe and his colleagues. There are also several articles by Wyatt (1961, 1977, 1982) on blood flow measurement in the medical industry. In this research, the two-dimensional mathematical model with the finite element numerical solution method to obtain the induced voltage between the electrodes is described. The basic principles of electromagnetic flowmeter design, excitation coil and simulations have been presented using the material software and mfile and PDETOOL programming environment. Finally, simulation results will be shown to validate the design.