Nuclear magnetic resonance measurement and lattice-Boltzmann simulation of the nonlocal dispersion tensor

The nonlocal dispersion tensor DNL provides a fundamental description of velocity correlations and displacement information in a dispersive system. It is shown that pulsed gradient spin echo nuclear magnetic resonance can be used to measure this tensor, and we present here the first measurement of DNL in a complex flow by this or any other methods. These measurements are complemented by simulations based on a lattice-Boltzmann calculation of the fluid flow. For dispersive flow in a random bead pack of monosized spheres, six nonzero, independent components remain. These components have been measured at three times less than τv, the time to flow one bead diameter. It is shown here that the various elements of DNL provide insights regarding the dispersive flow, which are extremely sensitive to the details of local correlations.

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