A finite element code for initial value problems with a Maxwell model
Ole Hassager,C Bisgaard +1 more
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TL;DR: In this paper, the authors present numerical methods for the simulation of nonhomogeneous flow of viscoelastic fluids described by models of the Oldroyd-Maxwell type.
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Abstract: Substantial efforts have recently been made in the development of numerical methods for the simulation of nonhomogeneous flow of viscoelastic fluids described by models of the Oldroyd-Maxwell type [1]. Most of the models used may be formulated either in differential form or in integral form. The differential and integral forms of the models are equivalent, but the numerical methods used in the two situations are quite different. Most simulation programs developed to this day use the differential form (see e. g. [2, 3]), but simulations with integral models have also been performed [4–6].
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Citations
Lagrangian Finite-Element Method for the Simulation of K-BKZ Fluids with Third Order Accuracy
TL;DR: In this article, a new finite element scheme for the numerical simulation of three-dimensional time-dependent flow of viscoelastic fluids is presented, which is based on a Lagrangian kinematics description of the fluid flow.
28
An experimental investigation of velocity fields around spheres and bubbles moving in non-Newtonian liquids
C Bisgaard,Ole Hassager +1 more
TL;DR: In this paper, the existence of negative wake behind spheres moving in a non-Newtonian liquid was investigated using tracer particles, and the negative wake was shown to exist in the downward direction away from the rising bubble.
17
A third order accurate Lagrangian finite element scheme for the computation of generalized molecular stress function fluids
TL;DR: In this paper, a third order accurate, in time and space, finite element scheme for numerical simulation of three-dimensional time-dependent flow of the molecular stress function type of fluids in a generalized formulation is presented.
Experimental evaluation of the pseudotime principle for nonisothermal polymer flows
TL;DR: In this paper, the pseudotime is given as ξ(t)=∫0t1/aT(T(t'))dt', where aT are the well established time-temperature superposition shift factors, calculated from the past temperatures (at time t′) in a particle path.
Lagrangian finite element method for 3D time-dependent non-isothermal flow of K-BKZ fluids
TL;DR: In this article, a new numerical approach for the simulation of non-isothermal three-dimensional time-dependent flow of viscoelastic fluids is presented, which is based on a Lagrangian kinematics description of the fluid flow.
References
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Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
- 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.
•Book
The finite element method in engineering science
O. C. Zienkiewicz
- 01 Jan 1971
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
4.4K
Finite element simulation of viscoelastic flow
TL;DR: In this article, the memory kernel is chosen to be a single exponential in the time lapse (Maxwell model) and the formulation is such that it can easily be generalized to more realistic models such as the BKZ theory.
138
Long-range memory effects in flows involving abrupt changes in geometry Part 4: Numerical simulation using integral rheological models
TL;DR: In this paper, a finite-difference formation is employed to study the use of integral rheological models in the numerical simulation of complex flows and a contra-variant Maxwell model is used in the study.
34
A finite element routine for analysing non-Newtonian flows Part II: The extrusion of a maxwell fluid
TL;DR: In this article, it was shown that a finite element routine based on the lowest order of approximation can provide effective simulations of the extrusion of an incompressible elastic fluid, provided the scheme for solving the discretised equations is chosen correctly.
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