Author
Roger I. Tanner
Other affiliations: Cooperative Research Centre, Illinois Institute of Technology, Brown University
Bio: Roger I. Tanner is an academic researcher from University of Sydney. The author has contributed to research in topics: Newtonian fluid & Viscoelasticity. The author has an hindex of 53, co-authored 246 publications receiving 9475 citations. Previous affiliations of Roger I. Tanner include Cooperative Research Centre & Illinois Institute of Technology.
Topics: Newtonian fluid, Viscoelasticity, Shear flow, Shear rate, Rheology
Papers published on a yearly basis
Papers
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TL;DR: In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".
Abstract: A constitutive equation is derived from a Lodge—Yamamoto type of network theory for polymeric fluids. The network junctions are not assumed to move strictly as points of the continuum but allowed a certain “effective slip”. The rates of creation and destruction of junctions are assumed to depend on the instantaneous elastic energy of the network, or equivalently, the average extension of the network strand, in a simple manner. Agreement between model predictions and the I.U.P.A.C. data on L.D.P.E. is good.
1,066 citations
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TL;DR: In this paper, a finite element program suitable for solving incompressible, viscous free surface problems in steady axisymmetric or plane flows is presented. But the authors do not consider the non-Newtonian flow, non-zero Reynolds numbers, and transient flow.
Abstract: : The authors discuss the creation of a finite element program suitable for solving incompressible, viscous free surface problems in steady axisymmetric or plane flows. For convenience in extending program capability to non-Newtonian flow, non-zero Reynolds numbers, and transient flow, a Galerkin formulation of the governing equations is chosen, rather than an extremum principle. The resulting program is used to solve the Newtonian die-swell problem for creeping jets free of surface tension constraints. The authors conclude that a Newtonian jet expands about 13%, in substantial agreement with experiments made with both small finite Reynolds numbers and small ratios of surface tension to viscous forces. The solutions to the related stick-slip problem and the tube inlet problem, both of which also contain stress singularities, are also given. (Modified author abstract)
277 citations
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TL;DR: In this paper, the authors re-exemined the problem using a finite element program and concluded that a small plug of unyielded fluid exists adjacent to the centre of the plates.
Abstract: In studies of the flow of a Bingham fluid in a parallel-plate plastometer there has been disagreement about whether or not a yield surface exists, and if it does exist what shape the yield surface has. The present authors have re-exemined the problem using a finite element program and have concluded that a small plug of unyielded fluid exists adjacent to the centre of the plates. This result has been verified by replacing the unyielded plug with a solid body.
261 citations
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TL;DR: In this article, an elastic-fluid theory of die-swell for long dies is presented, which predicts a swelling ratio De/d asymptotically proportional, for large values of swelling, to the cube root of the recoverable shear evaluated at the die wall.
Abstract: An elastic-fluid theory of die-swell for long dies is presented. The theory predicts a swelling ratio De/d asymptotically proportional, for large values of swelling, to the cube root of the recoverable shear evaluated at the die wall. Here the recoverable shear is defined to be half the ratio (first normal stress difference/shear stress). Excellent agreement is shown between predicted De/d and measured De/d for experiments on melts and solutions for which adequate data are available.
260 citations
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01 Jan 1992TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Abstract: Matter is commonly found in the form of materials. Analytical mechanics turned its back upon this fact, creating the centrally useful but abstract concepts of the mass point and the rigid body, in which matter manifests itself only through its inertia, independent of its constitution; “modern” physics likewise turns its back, since it concerns solely the small particles of matter, declining to face the problem of how a specimen made up of such particles will behave in the typical circumstances in which we meet it. Materials, however, continue to furnish the masses of matter we see and use from day to day: air, water, earth, flesh, wood, stone, steel, concrete, glass, rubber, ... All are deformable. A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys.
2,644 citations
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1,524 citations
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TL;DR: The algorithms of the automatic mesh generator NETGEN are described and emphasis is given to the abstract structure of the element generation rules.
Abstract: In this paper, the algorithms of the automatic mesh generator NETGEN are described. The domain is provided by a Constructive Solid Geometry (CSG). The whole task of 3D mesh generation splits into four subproblems of special point calculation, edge following, surface meshing and finally volume mesh generation. Surface and volume mesh generation are based on the advancing front method. Emphasis is given to the abstract structure of the element generation rules. Several techniques of mesh optimization are tested and quality plots are presented.
1,150 citations
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01 Jan 19741,090 citations
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TL;DR: In this paper, a constitutive equation is derived from a Lodge-Yamamoto type of network theory for polymeric fluids, where the network junctions are not assumed to move strictly as points of the continuum but allowed a certain "effective slip".
Abstract: A constitutive equation is derived from a Lodge—Yamamoto type of network theory for polymeric fluids. The network junctions are not assumed to move strictly as points of the continuum but allowed a certain “effective slip”. The rates of creation and destruction of junctions are assumed to depend on the instantaneous elastic energy of the network, or equivalently, the average extension of the network strand, in a simple manner. Agreement between model predictions and the I.U.P.A.C. data on L.D.P.E. is good.
1,066 citations