Spin echo magnetic resonance measurements with a constant magnetic field gradient in the flow direction are introduced to determine the non-Newtonian flow velocity profiles in a circular pipe, under laminar conditions. The normalized magnitude of odd echoes, due to phase accumulation, with related flow profile parameters, is derived. This technique requires one to calculate the average velocity based on the net phase accumulation of odd echoes, and then to solve for the fluid behavior index based on the magnitude of odd echoes (which is mediated by the phase distribution). Simple spin echo measurements with a palm-sized permanent magnet, the Proteus magnet, for flow of glycerol-water solution and xanthan gum solution are used to verify the technique.

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• Metrology
• Non-Newtonian fluids
• Rheology techniques
• Shear flows
• Shear thinning
• Magnetic resonance imaging
• Rheology