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Three-dimensional magnetic resonance velocimetry measurements of turbulence quantities in complex flow

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Abstract

A magnetic resonance velocimetry (MRV) experimental technique based on magnetic resonance imaging and capable of measuring the turbulent Reynolds stresses in a 3D flow domain is described. Results are presented in backward facing step flow in a square channel with a Reynolds number of 48,000 based on step height and freestream velocity at the step. MRV results are compared to particle image velocimetry (PIV) measurements in the centerplane containing the streamwise and cross-stream axes. MRV and PIV mean velocity measurements show excellent agreement. MRV measurements for Reynolds normal stresses compare to within ±20% of the PIV results while results for the turbulent shear are less accurate.

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References

  • Caprihan A, Fukushima E (1990) Flow measurements by NMR. Phys Rep 198(4):195–235

    Article  Google Scholar 

  • De Gennes PG (1969) Theory of spin echoes in a turbulent field. Phys Lett A 29(1):20–21

    Article  Google Scholar 

  • Dyverfeldt P, Sigfridsson A, Kvitting JP, Ebbers T (2006) Quantification of intravoxel velocity standard deviation and turbulence intensity by generalizing phase-contrast MRI. Magn Reson Med 56(4):850–858

    Article  Google Scholar 

  • Elkins CJ, Markl M, Pelc N, Eaton JK (2003) 4D Magnetic resonance velocimetry for mean velocity measurements in complex turbulent flows. Exp Fluids 34(4):494–503

    Google Scholar 

  • Elkins CJ, Markl M, Iyengar A, Wicker R, Eaton JK (2004) Full-field velocity and temperature measurements using magnetic resonance imaging in turbulent complex internal flows. Int J Heat Fluid Flow 25(5):702–710

    Article  Google Scholar 

  • Gao JH, Gore JO (1991) Turbulent flow effects on NMR imaging: measurement of turbulent intensity. Med Phys 18(5):1045–1051

    Article  Google Scholar 

  • Gatenby JC, Gore JC (1994) Mapping of turbulent intensity by magnetic resonance imaging. J Magn Reson B 104(2):119–126

    Article  Google Scholar 

  • Gatenby JC, Gore JC (1996) Echo-planar-imaging studies of turbulent flow. J Magn Reson A 121:193–200

    Article  Google Scholar 

  • Haacke EM, Lenz GW (1987) Improving MR image quality in the presence of motion by using rephasing gradients. AJR Am J Roentgenol 148(6):1251–1258

    Google Scholar 

  • Han D (2001) Study of turbulent nonpremixed jet flames using simultaneous measurements of velocity and ch distribution. Stanford University, USA

  • Iaccarino G, Elkins C (2006) Towards rapid analysis of turbulent flows in complex internal passages. Flow Turbul Combust 77:27–39

    Article  MATH  Google Scholar 

  • Kuethe DO (1989) Measuring distributions of diffusivity in turbulent fluids with magnetic-resonance imaging. Phys Rev A 40(8):4542–4551

    Article  Google Scholar 

  • Kuethe DO, Gao JH (1995) NMR signal loss from turbulence: models of time dependence compared with data. Phys Rev E 51(4):3252–3262

    Article  Google Scholar 

  • Lasic S, Stepisnik J, Mohoric A (2006) Displacement power spectrum measurement by CPMG in constant gradient. J Mag Res 182:208–214

    Article  Google Scholar 

  • Li TQ, Seymour JD, Powell RL, McCarthy KL, Odberg L, McCarthy MJ (1994) Turbulent pipe-flow studied by time-averaged NMR imaging—measurements of velocity profile and turbulent intensity. Magn Reson Imaging 12(6):923–934

    Article  Google Scholar 

  • Newling B, Poirier CC, Zhi Y, Rioux JA, Coristine AJ, Roach D, Balcom BJ (2004) Velocity imaging of highly turbulent gas flow. Phys Rev Lett 93(15):154503–154504

    Article  Google Scholar 

  • Nishimura DG, Jackson JI, Pauly JM (1991) On the nature and reduction of the displacement artifact in flow images. Magn Reson Med 22(2):481–492

    Article  Google Scholar 

  • Stepisnik J, Callaghan PT (2000) The long time tail of molecular velocity correlation in a confined fluid: observation by modulated gradient spin-echo NMR. Phys B 292:296–301

    Article  Google Scholar 

  • Tennekes H, Lumley JL (1972) A first course in turbulence. MIT Press, Cambridge

    Google Scholar 

  • Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Technol 8(12):1379–1392

    Article  Google Scholar 

Download references

Acknowledgments

Christopher J. Elkins and John Eaton were supported by a grant from General Electric Aircraft Engines as part of the GE-University Strategic Alliance and a grant from the National Science Foundation (NSF CTS-0432478). Marcus Alley was supported by the same NSF grant and a grant from the National Institutes of Health (P41 RR09784).

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Authors and Affiliations

  1. Mechanical Engineering Department, Stanford University, Bldg. 500, Stanford, CA, 94305, USA

    Christopher J. Elkins & John K. Eaton

  2. Department of Radiology, Lucas MRI/S Center, Stanford University, Stanford, CA, 94305, USA

    Marcus T. Alley

  3. Department of Energy and Process Engineering, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    Lars Saetran

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  1. Christopher J. Elkins
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  2. Marcus T. Alley
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  3. Lars Saetran
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  4. John K. Eaton
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Correspondence to Christopher J. Elkins.

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Elkins, C.J., Alley, M.T., Saetran, L. et al. Three-dimensional magnetic resonance velocimetry measurements of turbulence quantities in complex flow. Exp Fluids 46, 285–296 (2009). https://doi.org/10.1007/s00348-008-0559-4

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  • DOI: https://doi.org/10.1007/s00348-008-0559-4

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