Analysis of Partial and Total Blockage of Unused Engine Oil in a Radially Symmetric Cylindrical Pipe Using Diffusion Magnetic Resonance Equation.

Abstract

An analysis of the Magnetic Resonance Imaging MRI technique requires a detailed understanding of how signals evolve in the medium of interest in the absence of obstructions or perturbation and the nature of the emerging signal when the original signal is perturbed by obstructions that might exist in the medium. Properties of the signal are then used to estimate the level of blockage. In this study, MRI is used to detect partial and total blockage of unused engine oil in a cylindrical pipe. The Bloch Nuclear Magnetic Resonance (NMR) flow equations are solved analytically in cylindrical coordinates for flow of fluid in a radially symmetric cylindrical pipe. Based on the appropriate boundary conditions, the radial axis was varied to depict partial and total blockage in the pipe. Mathematical techniques were then used to analyze the results (NMR signals) obtained. This method is a viable alternative to other methods of detecting blockage in fluid pipelines in oil and gas industry.