Stability of Thermodynamics Systems
DOI: 10.1007/3-540-11581-1_8
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Unstable flows of concentrated suspensions

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Cited by 31 publications
(6 citation statements)
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“…We note that the oscillation cycle does not coincide with the hysteresis cycle of the pressure-flow rate curve [presented schematically in the inset of Fig. 7b], contrarily to what has been suggested by Quemada (1982) and Hatzikiriakos and Dealy (1992). In particular, the amplitudes of pressure and flow rate oscillations are somewhat lower than those, P hyst and Q hyst , imposed by the hysteresis.…”
Section: B Pressure/flow Rate Oscillationsmentioning
confidence: 55%
See 1 more Smart Citation
“…We note that the oscillation cycle does not coincide with the hysteresis cycle of the pressure-flow rate curve [presented schematically in the inset of Fig. 7b], contrarily to what has been suggested by Quemada (1982) and Hatzikiriakos and Dealy (1992). In particular, the amplitudes of pressure and flow rate oscillations are somewhat lower than those, P hyst and Q hyst , imposed by the hysteresis.…”
Section: B Pressure/flow Rate Oscillationsmentioning
confidence: 55%
“…However, the macroscopic origin of the flow instabilities is essentially similar for most of the fluids. Pressure-driven flows become unstable in the range of the flow rates corresponding to a decreasing branch of the pressure-flow rate curve [Quemada (1982)], while simple shear flows exhibit instabilities at shear rates belonging to the decreasing branch of the stress versus shear rate curve (flow curve) [Yerushalmi et al (1970)]. In both situations, we deal with a negative differential viscosity of the fluid, which induces momentum transfer from the slower fluid layers to the faster ones.…”
Section: Introductionmentioning
confidence: 99%
“…A very similar nonmonotonic stress-shear rate behavior was observed by Pignon et al (1996) for Brownian suspensions of laponite particles. This shape of the rheogram suggests unstable flows of the suspension, since it is well known that a steady state homogeneous flow with a linear velocity profile is absolutely unstable within the range of shear rates corresponding to the decreasing branch of the rheogram -see for instance Quemada (1982). Within this domain of negative differential viscosity, the shear rate may vary from point to point in the suspension, and, strictly speaking, we are not allowed to define the shear rate in the common way as the ratio of the upper plate speed v to the gap thickness h. Therefore, from now in this work the quantity v/h is referred to as the apparent or global shear rate.…”
Section: Experimental Observationsmentioning
confidence: 99%
“…4 was derived by Dougherty (1959) and Krieger (1972), except that the exponent was -[] ∅ . A yet simpler form, in which the exponent was given as -2, was reported by Maron and Pierce (1956) and Quemada (1982).…”
Section: Einstein's Theorymentioning
confidence: 99%