Journal ArticleDOI
A finite volume technique to simulate the flow of a viscoelastic fluid
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In this article, the authors used SIMPLER algorithm in a non-uniform staggered grid system to investigate the hydrodynamically developing flow of Oldroyd B fluid in the planar die entrance region.Abstract:
Hydrodynamically developing flow of Oldroyd B fluid in the planar die entrance region has been investigated numerically using SIMPLER algorithm in a non-uniform staggered grid system. It has been shown that for constant values of the Reynolds number, the entrance length increases as the Weissenberg number increases. For small Reynolds number flows the center line velocity distribution exhibit overshoot near the inlet, which seems to be related to the occurrence of numerical breakdown at small values of the limiting Weissenberg number than those for large Reynolds number flows. The distributions of the first normal stress difference display clearly the development of the flow characteristics from extensional flow to shear flow.read more
Citations
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Journal ArticleDOI
Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method
TL;DR: In this paper, a general class of viscoelastic model is used to investigate numerically the pattern and strength of the secondary flows in rectangular pipes as well as the influence of material parameters on them.
Journal ArticleDOI
A numerical study of the planar contraction flow of a viscoelastic fluid using the simpler algorithm
Jung Yul Yoo,Yang Na +1 more
TL;DR: In this article, a finite volume technique has been introduced in an attempt to simulate the planar 4:1 contraction flow of the Oldroyd B fluid on a non-uniform staggered grid system.
Journal ArticleDOI
Approximation of functions and their derivatives: A neural network implementation with applications
TL;DR: In this paper, a neural network (NN) implementation for the numerical approximation of functions of several variables and their first and second order partial derivatives is presented, which can result in improved numerical methods for solving partial differential equations by eliminating the need to discretise the analysis domain.
Journal ArticleDOI
Viscoelastic flow between eccentric rotating cylinders: unstructured control volume method
TL;DR: In this article, a convergent numerical algorithm for the upper-convected Maxwell (UCM) fluid between two eccentric cylinders at various eccentricity ratios (ϵ) is presented.
Journal ArticleDOI
Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity
TL;DR: In this article, a finite volume technique is presented for the numerical solution of steady laminar flow of Oldroyd-B fluid in a lid-driven square cavity over a wide range of Reynolds and Weissenberg numbers.
References
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Book
Numerical heat transfer and fluid flow
TL;DR: In this article, the authors focus on heat and mass transfer, fluid flow, chemical reaction, and other related processes that occur in engineering equipment, the natural environment, and living organisms.
Book
Computational methods for fluid flow
Roger Peyret,Thomas D. Taylor +1 more
TL;DR: In this article, the authors present a method for numerique numeriques for programmation with differences between finies and viscosite reference records. But the method is not presented in detail.
Computational methods for fluid flow
Roger Peyret,Thomas D. Taylor +1 more
TL;DR: In this article, the authors present a method for numerique numeriques for programmation with differences between finies and viscosite reference records. But the method is not presented in detail.
Book ChapterDOI
Hyperbolicity and change of type in the flow of viscoelastic fluids
TL;DR: In this paper, the authors classified the equations governing the flow of viscoelastic liquids according to the symbol of their differential operators, and discussed propagation of singularities and conditions for a change of type.
Hyperbolicity and change of type in the flow of viscoelastic fluids. Technical summary report
TL;DR: In this article, the authors classified the equations governing the flow of viscoelastic liquids according to the symbol of their differential operators, and discussed propagation of singularities and conditions for a change of type.