Abstract
This paper investigates the spatial response of electromagnetic flowmeters, which are commonly used to measure bulk flow in various industrial applications. While most flowmeters focus on measuring the overall flow rate, this paper explores the response of a flowmeter to the spatial distribution of the flow and develops a new dipole form of the forward map. By writing the Neumann Green's function and using the dipole form, we investigate reconstruction of the distribution of flow within the pipe. The paper presents examples of flow tomography using a truncated singular value reconstruction, which enables accurate visualization of the flow field. By examining the spatial response of electromagnetic flowmeters and presenting a new dipole form of the forward map, this paper contributes to the ongoing effort to improve the accuracy and informativeness of flow measurements in industrial settings.