Vérification expérimentale de l'épaisseur du film pour des liquides non‐newtoniens s'écoulant par gravité sur un plan incliné

Thérien, Normand; Coupal, Bernard; Corneille, Jean L.

doi:10.1002/cjce.5450480104

Cited by 30 publications

(6 citation statements)

References 6 publications

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“…For the particular case of flow through a tube or channel, polymers migrating towards the axis at a rate depending upon the size of the molecule not only would account for some anomalous rheological effects [1,2] but also account for the fractionation of the polymer solution [3]. The speculation that a thermodynamic driving force causes the molecules to move from the high shear region (close to the wall) to the low shear region (dose to the axis) has been advanced some time ago [4].…”

Section: Introductionmentioning

confidence: 99%

Macromolecules in nonhomogeneous flow fields: A general study for dumbbell model macromolecules

Brunn

Chi

1984

Rheol Acta

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The hydrodynamics of bead-spring model macromolecules in nonhomogeneous flows has recently been worked out. By taking a non-infinite distance between the beads (relative to the bead size) into account a hydrodynamic driving force was found. In this paper we explore the kinetic theory consequence of that force and show that non-uniform (polymer) concentration profiles are to be expected in nonhomogeneous flows. The diffusion equation for a dilute polymer solution is derived from the continuity equation for the distribution function. Arguments, leading to a well-ordered pertubation expansion of the continuity equation are advanced and the zeroth order function of this hierarchy is studied for models with linear springs. Details for the channel flow system are worked out with special emphasis on the relation between the polymer concentration and the parameters of the system. Explicit results are presented for models with linear springs. It is shown that if the Oseen tensor is not preaveraged, inadmissible results emerge.

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Section: Introductionmentioning

confidence: 99%

Macromolecules in nonhomogeneous flow fields: A general study for dumbbell model macromolecules

Brunn

Chi

1984

Rheol Acta

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“…Significant flow enhancements have been documented for the flow of polymer solutions in capillary tubes [1][2][3][4][5][6][7][8], in gravity-driven flows down inclined planes [9][10][11], and in porous media flow [12][13][14]. Flow inhomogeneous stress fields, while it is absent in uniform stress fields [6][7][8].…”

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confidence: 95%

An analysis of apparent slip flow of polymer solutions

Cohen

Metzner

1986

Rheol Acta

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Abstract:The apparent slip flow phenomenon of polymer solutions in capillary tubes is analyzed by a thermodynamic diffusion model. An approximate solution of the developing concentration profiles shows a significant decrease in the polymer wall concentration. The approximate concentration profiles are coupled with the concentration-dependent viscosity for aqueous polyacrylamide solutions to provide a priori predictions of the magnitude of the effective slip velocity at the wall. The results are in a reasonable agreement with the available apparent slip data for 1% and 0.5% solutions of partially hydrolyzed polyacrylamide.

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“…They studied the free surface of a thin liquid film in the presence and absence of gravitational body force using a boundary-fitted coordinate system where the irregular free surface conformed to one of the flow boundaries. Therien et al [6] measured the film thickness for power law fluids flowing down inclined plates and compared the results with an analytical expression with good agreement. Sylvester et al [7] compared experimental and predicted film thicknesses for power law fluids flowing down a vertical wall in the laminar and wavy fully developed regimes.…”

Section: Introductionmentioning

confidence: 90%

Thermodynamic second law analysis for a gravity-driven variable viscosity liquid film along an inclined heated plate with convective cooling

Makinde

2010

J Mech Sci Technol

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The inherent irreversibility and thermal stability in a gravity-driven temperature-dependent variable viscosity thin liquid film along an inclined heated plate with convective cooling is investigated. In this study, both the isothermal and isoflux heating of the plate are considered. The free surface of the liquid film is assumed to exchange heat with the surroundings following Newton's cooling law and the fluid viscosity model varies as an inverse linear function of the temperature. Analytical solutions are constructed for the governing boundaryvalue problem, and important properties of velocity and temperature fields such as thermal stability criterion are obtained. Expressions for volumetric entropy generation numbers, irreversibility distribution ratio, and the Bejan number in the flow field are also obtained and discussed quantitatively.

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Vérification expérimentale de l'épaisseur du film pour des liquides non‐newtoniens s'écoulant par gravité sur un plan incliné

Cited by 30 publications

References 6 publications

Macromolecules in nonhomogeneous flow fields: A general study for dumbbell model macromolecules

Macromolecules in nonhomogeneous flow fields: A general study for dumbbell model macromolecules

An analysis of apparent slip flow of polymer solutions

Thermodynamic second law analysis for a gravity-driven variable viscosity liquid film along an inclined heated plate with convective cooling

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