1990
DOI: 10.1016/0377-0257(90)85042-w
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The shear and extensional flow properties of M1

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Cited by 50 publications
(9 citation statements)
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“…In the region of closed streamlines, the constitutive equation (10) is integrated over the closed loops repeatedly until the stress changes by less than 0.1% in one cycle before the particle-polymer stress and stresslet are computed. We determine the linearized stress 1L on a fixed Eulerian grid by integrating (22) over the streamlines of the undisturbed flow and interpolate to obtain 1L on the streamlines of the full velocity field when computing the volume integral of 1N . While 1 is a smooth function of position at all De, the linearized polymer stress has a boundary layer of thickness De inside and outside of the particle surface when De 1.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…In the region of closed streamlines, the constitutive equation (10) is integrated over the closed loops repeatedly until the stress changes by less than 0.1% in one cycle before the particle-polymer stress and stresslet are computed. We determine the linearized stress 1L on a fixed Eulerian grid by integrating (22) over the streamlines of the undisturbed flow and interpolate to obtain 1L on the streamlines of the full velocity field when computing the volume integral of 1N . While 1 is a smooth function of position at all De, the linearized polymer stress has a boundary layer of thickness De inside and outside of the particle surface when De 1.…”
Section: Methodsmentioning
confidence: 99%
“…The consideration of the Oldroyd-B constitutive equation for the rheology of the suspending fluid has several advantages for the present study. A well established experimental formulation known as a Boger fluid, consisting of a dilute solution of high molecular weight polymers in a viscous Newtonian fluid, yields rheology consistent with the equation [20][21][22]. A kinetic theory based on a Hookean dumbbell model of the polymers yields the Oldroyd-B constitutive equation [23].…”
Section: Introductionmentioning
confidence: 99%
“…Canella et al achieved a satisfactory match with their experimental results by using a constant value of 6 for β, although this value far exceeds correction factors suggested by other researchers [28][29][30]. Even though all published results in the literature are not covered by using this correction factor, better agreement between analytical and experimental results was obtained, such as in experiments performed by Teeuw and Hesselink [15] and Gogarty [31].…”
mentioning
confidence: 87%
“…By using constant value of 6 for β, Canella et al achieved a satisfactory match with their experimental results, although this value far exceeds correction factors suggested by other researchers [41,47,48]. Even though all published results in the literature is not covered by using this correction factor, better agreement between analytical and experimental results were obtained, such as experiments performed by Teeuw and Hesselink [15] and Gogarty [27].…”
mentioning
confidence: 87%
“…Onset of extensional viscosity, the transition point between shear dominant and extensional dominant flow, depends on polymer, solvent and porous media properties. Effects of polymer properties on extensional viscosity may be investigated by using special rheometers that only generate pure extensional flow [44][45][46][47][48][49][50][51][52][53]. In the following, effects of polymer, solvent and porous media properties on the onset of extensional viscosity are explained.…”
Section: = 2 (18)mentioning
confidence: 99%