Pipe flow of aqueous polyacrylamide solutions studied by means of nuclear magnetic resonance imaging

Abstract Flow behaviour of aqueous polyacrylamide solutions in a straight circular pipe of 26.2 mm in diameter was investigated by using phase flow encoded nuclear magnetic resonance imaging (NMRI). Premixed polyacrylamide solutions of four different concentrations. i.e. 1 000, 500, 300, and 200 wt. ppm were studied. The mean axial velocity profiles of the dilute polyacrylamide solutions were measured at various mean bulk flow rates up to 800 mm s−1. Laminar flows to unsteady turbulent flows through a transition flow regime were observed. For turbulent flows, the mean velocity profiles and the streamwise turbulence intensities were obtained by using a time-averaged NMRI method. The rheological behavior of the polyacrylamide solutions, that is the shear stress dependence on the shear rate, was also characterized by using the velocity profile data from NMRI together with pressure drop measurements. The results were compared with independently measured rheological data from a cone-and-plate viscometer.

[1]  M. M. Reischman,et al.  Laser-Doppler anemometer measurements in drag-reducing channel flows , 1975, Journal of Fluid Mechanics.

[2]  W. Mccomb,et al.  Local drag reduction due to injection of polymer solutions into turbulent flow in a pipe. Part II: Laser‐doppler measurements of turbulent structure , 1982 .

[3]  J. Seymour,et al.  Turbulent pipe flow studied by time-averaged NMR imaging: measurements of velocity profile and turbulent intensity. , 1994, Magnetic resonance imaging.

[4]  E. Merrill,et al.  Turbulent flow of pseudoplastic polymer solutions in straight cylindrical tubes , 1959 .

[5]  A. Perry,et al.  Scaling laws for pipe-flow turbulence , 1975, Journal of Fluid Mechanics.

[6]  Kathryn L. McCarthy,et al.  Velocity measurements of fiber suspensions in pipe flow by the nuclear magnetic resonance imaging method , 1994 .

[7]  J. Seymour,et al.  Visualization of flow patterns of cellulose fiber suspensions by NMR imaging , 1994 .

[8]  J. H. Gao,et al.  Turbulent flow effects on NMR imaging: measurement of turbulent intensity. , 1991, Medical physics.

[9]  H. Usui,et al.  Drag reduction caused by the injection of polymer thread into a turbulent pipe flow , 1988 .

[10]  W. Graebel,et al.  Laser Anemometer Measurements of Turbulence in Non-Newtonian Pipe Flows , 1972 .

[11]  H. Barnes,et al.  An introduction to rheology , 1989 .

[12]  J. E. Tanner,et al.  Spin diffusion measurements : spin echoes in the presence of a time-dependent field gradient , 1965 .

[13]  R. Bird Dynamics of Polymeric Liquids , 1977 .

[14]  J P Whalen,et al.  Experimental design and fabrication of birdcage resonators for magnetic resonance imaging , 1992, Magnetic resonance in medicine.

[15]  W. Mccomb,et al.  The physics of fluid turbulence. , 1990 .

[16]  U. Henriksson,et al.  Water diffusion in wood pulp cellulose fibers studied by means of the pulsed gradient spin-echo method , 1992 .

[17]  R. R. Walters,et al.  AN EXPERIMENTAL STUDY OF TURBULENT DIFFUSION OF DRAG-REDUCING POLYMER ADDITIVES , 1971 .

[18]  P. Callaghan Principles of Nuclear Magnetic Resonance Microscopy , 1991 .

[20]  R. Paul Singh,et al.  Advances in food Engineering , 1993 .

[21]  James M. Pope,et al.  Quantitative NMR imaging of flow , 1993 .

[22]  A. B. Metzner,et al.  Turbulent flow of non‐newtonian systems , 1959 .

[23]  E. Stejskal Use of Spin Echoes in a Pulsed Magnetic‐Field Gradient to Study Anisotropic, Restricted Diffusion and Flow , 1965 .

[24]  R. C. Little,et al.  Observations of early turbulence in the pipe flow of drag reducing polymer solutions , 1972 .

[25]  W. Willmarth,et al.  Laser anemometer measurements of Reynolds stress in a turbulent channel flow with drag reducing polymer additives , 1987 .