Effect of natural convection in a horizontally oriented cylinder on NMR imaging of the distribution of diffusivity
- 1 November 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 62 (5) , 6628-6635
- https://doi.org/10.1103/physreve.62.6628
Abstract
This paper describes the influence of natural convection on NMR measurement of a self-diffusion constant of fluid in the earth’s magnetic field. To get an estimation of the effect, the Lorenz model of natural convection in a horizontally oriented cylinder, heated from below, is derived. Since the Lorenz model of natural convection is derived for the free boundary condition, its validity is of a limited value for the natural no-slip boundary condition. We point out that even a slight temperature gradient can cause significant misinterpretation of measurements. The chaotic nature of convection enhances the apparent self-diffusion constant of the liquid.Keywords
This publication has 28 references indexed in Scilit:
- Fourier transform pulsed-gradient spin-echo studies of molecular diffusionPublished by Elsevier ,2001
- NMR signal loss from turbulence: Models of time dependence compared with dataPhysical Review E, 1995
- Measuring distributions of diffusivity in turbulent fluids with magnetic-resonance imagingPhysical Review A, 1989
- Measuring and imaging of flow by NMRProgress in Nuclear Magnetic Resonance Spectroscopy, 1985
- Convective instability: A physicist's approachReviews of Modern Physics, 1977
- On thermoconvective instability in a bounded cylindrical fluid layerInternational Journal of Heat and Mass Transfer, 1971
- Thermoconvective instability in a bounded cylindrical fluid layerInternational Journal of Heat and Mass Transfer, 1970
- Bloch Equations with Diffusion TermsPhysical Review B, 1956
- Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance ExperimentsPhysical Review B, 1954
- Relaxation Effects in Nuclear Magnetic Resonance AbsorptionPhysical Review B, 1948