Squeeze flow theory and applications to rheometry: A review
TL;DR: In this article, the deformations and stresses during squeeze flows are evaluated for a wider class of materials than previously covered in articles on this subject, including generalised Newtonian fluids, yield stress fluids, as well as elastic and viscoelastic materials.
Abstract: The deformations and stresses during squeeze flows are evaluated for a wider class of materials than previously covered in articles on this subject. These include generalised Newtonian fluids, yield stress fluids, as well as elastic and viscoelastic materials. Wherever possible, results are given in a compact mathematical form. The effect of different boundary conditions (no slip, perfect slip and partial slip) and how these interact with different types of material behaviour to give a variety of macroscopic responses is also discussed. The significance of this in using squeeze flow as a rheometry method is highlighted and a state-of-the-art view of squeeze flow rheometry is given.
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TL;DR: In this paper, the authors investigated the role of the structural build-up properties of concrete and cement-based materials in a layer-by-layer construction technique and proposed a theoretical framework to optimize the building rate.
Abstract: Additive manufacturing and digital fabrication bring new horizons to concrete and cement-based material construction. 3D printing inspired construction techniques that have recently been developed at laboratory scale for cement-based materials. This study aims to investigate the role of the structural build-up properties of cement-based materials in such a layer by layer construction technique. As construction progresses, the cement-based materials become harder with time. The mechanical strength of the cement-based materials must be sufficient to sustain the weight of the layers subsequently deposited. It follows that the comparison of the mechanical strength, which evolves with time (i.e. structural build-up), with the loading due to layers subsequently deposited, can be expected to provide the optimal rate of layer by layer construction. A theoretical framework has been developed to propose a method of optimization of the building rate, which is experimentally validated in a layer-wise built column.
550 citations
Cites background or methods from "Squeeze flow theory and application..."
...For example, for circular column of diameter D, ageom can be computed from the theory of squeeze flow of plastic material [27, 28]....
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...This detection of failure is supported by squeeze flow of semi-solid paste which undergoes fracture at the sample periphery [27, 28, 32, 33]....
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...Thus, using the expression given in [27, 28], the ageom parameter can be expressed as: ageom 1⁄4 2 1þ D 2 ffiffiffi 3 p h ð5Þ...
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TL;DR: The most common idealization of a viscoplastic fluid is the Bingham model, which has been widely used to rationalize experimental data, even though it is a crude oversimplification of true rheological behavior.
Abstract: The archetypal feature of a viscoplastic fluid is its yield stress: If the material is not sufficiently stressed, it behaves like a solid, but once the yield stress is exceeded, the material flows like a fluid. Such behavior characterizes materials common in industries such as petroleum and chemical processing, cosmetics, and food processing and in geophysical fluid dynamics. The most common idealization of a viscoplastic fluid is the Bingham model, which has been widely used to rationalize experimental data, even though it is a crude oversimplification of true rheological behavior. The popularity of the model is in its apparent simplicity. Despite this, the sudden transition between solid-like behavior and flow introduces significant complications into the dynamics, which, as a result, has resisted much analysis. Over recent decades, theoretical developments, both analytical and computational, have provided a better understanding of the effect of the yield stress. Simultaneously, greater insight into the material behavior of real fluids has been afforded by advances in rheometry. These developments have primed us for a better understanding of the various applications in the natural and engineering sciences.
474 citations
Cites background from "Squeeze flow theory and application..."
...Squeeze flow testers are popular devices for compressional rheometry (e.g., Engmann et al. 2005), and measurements of yield stress do seem to correspond to equivalent measurements under shear for some materials in accord with the von Mises condition, once one removes the confounding effect of slip…...
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...The squeeze flow problem, which originally motivated Lipscomb & Denn’s lubrication paradox, is well studied (Engmann et al. 2005, Sherwood & Durban 1998), although the true plugs that must lie at the core of this flow have been constructed only numerically (Karapetsas & Tsamopoulos 2006); a…...
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TL;DR: In this paper, food rheology focuses on the flow properties of individual food components, which might already exhibit a complex rheological response function, the flow of a composite food matrix, and the influence of processing on the food structure and its properties.
Abstract: Food rheology focuses on the flow properties of individual food components, which might already exhibit a complex rheological response function, the flow of a composite food matrix, and the influence of processing on the food structure and its properties. For processed food the composition and the addition of ingredients to obtain a certain food quality and product performance requires profound rheological understanding of individual ingredients their relation to food processing, and their final perception.
189 citations
01 Jan 2007
TL;DR: In this paper, a continuation parameter is introduced into the models to facilitate the solution process and produces virtually the same results as the ideal models by the right choice of its value, which can be used to track down yielded/unyielded regions.
Abstract: Viscoplasticity is characterized by a yield stress, below which the materials will not deform, and above which they will deform and flow according to different constitutive relations. Viscoplastic models include the Bingham plastic, the HerschelBulkley model, and the Casson model. All of these ideal models are discontinuous. Analytical solutions exist for such models in simple flows. For general flow fields, it is necessary to develop numerical techniques to track down yielded/unyielded regions. This can be avoided by introducing into the models a continuation parameter, which facilitates the solution process and produces virtually the same results as the ideal models by the right choice of its value. This work reviews several benchmark problems of viscoplastic flows, such as entry and exit flows from dies, flows around a sphere and a cylinder, and squeeze flows. Examples are also given for typical processing flows of viscoplastic materials, where the extent and shape of the yielded/unyielded regions are clearly shown.
160 citations
TL;DR: This work measured stress versus strain behavior while squeezing entangled polystyrene films to large strains and observed a complete inversion of conventional polymer viscosity scaling with molecular weight.
Abstract: The squeezing of polymers in narrow gaps is important for the dynamics of nanostructure fabrication by nanoimprint embossing and the operation of polymer boundary lubricants. We measured stress versus strain behavior while squeezing entangled polystyrene films to large strains. In confined conditions where films were prepared to a thickness less than the size of the bulk macromolecule, resistance to deformation was markedly reduced for both solid-glass forging and liquid-melt molding. For melt flow, we further observed a complete inversion of conventional polymer viscosity scaling with molecular weight. Our results show that squeeze flow is accelerated at small scales by an unexpected influence of film thickness in polymer materials.
117 citations
References
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Book•
01 Jan 1967TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Abstract: Preface Conventions and notation 1. The physical properties of fluids 2. Kinematics of the flow field 3. Equations governing the motion of a fluid 4. Flow of a uniform incompressible viscous fluid 5. Flow at large Reynolds number: effects of viscosity 6. Irrotational flow theory and its applications 7. Flow of effectively inviscid liquid with vorticity Appendices.
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TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Abstract: 1. Introduction 2. Foundations of the thoery 3. General theorems 4. The solution of plastic-elastic problems I 5. The solution of plastic-elastic problems II 6. Plane plastic strain and the theory of the slip-line field 7. Two-dimensional problems of steady motion 8. Non-steady motion problems of steady motion 9. Non-steady motion problems in two dimensions II 10. Axial symmetry 11. Miscellaneous topics 12. Platic anisotropy
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01 Jan 1965
TL;DR: Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, and a host of other disciplines.
Abstract: Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, flow through porous media, colloid science, aerosol and hydrosal technology, lubrication theory, blood flow, Brownian motion, geophysics, meteorology, and a host of other disciplines. This text provides a comprehensive and detailed account of the physical and mathematical principles underlying such phenomena, heretofore available only in the original literature.
4,648 citations
TL;DR: In this paper, the authors considered the boundary or surface actions of fluids and proposed a theoretical treatment of the physical actions of oils and other viscous fluids to diminish friction and wear between solid surfaces.
Abstract: 1. Lubrication, or the action of oils and other viscous fluids to diminish friction and wear between solid surfaces, does not appear to have hitherto formed a subject for theoretical treatment. Such treatment may have been prevented by the obscurity of the physical actions involved, which belong to a class as yet but little known, namely, the boundary or surface actions of fluids; but the absence of such treatment has also been owing to the want of any general laws discovered by experiment. The subject is of such fundamental importance in practical mechanics, and the opportunities for observation are so frequent, that it may well be a matter of surprise that any general laws should have for so long escaped detection.
1,636 citations
Book•
01 Jan 1962
TL;DR: Vectors, tensors and the basic equations of fluid mechanics as discussed by the authors, Vectors and tensors, and the Basic Equations of Fluid Mechanics, and their basic equations.
Abstract: Vectors, tensors, and the basic equations of fluid mechanics , Vectors, tensors, and the basic equations of fluid mechanics , کتابخانه دیجیتال جندی شاپور اهواز
1,373 citations