Velocity Profile of Viscous-Elastic Fluid in Eccentric Annulus with the Internal Rod Moving Axially

2014 ◽  
Vol 884-885 ◽  
pp. 382-385
Author(s):  
Li Li Liu ◽  
Wei Dong Hao ◽  
Shu Ren Yang ◽  
Li Hui Wang ◽  
Di Xu
Keyword(s):  
Stress Field ◽  
Velocity Profile ◽  
Control Volume ◽  
Control Volume Method ◽  
Eccentric Annulus ◽  
Elastic Fluid ◽  
Bipolar Coordinates ◽  
Adi Methods ◽  
Control Equation ◽  
Volume Method

Using lower-convected Maxwell constitutive model, the control equation of the steady flow of viscous-elastic fluid in the eccentric annulus with inner rod moving axially in the bipolar coordinates system is established, and discreted by control-volume method, the velocity profile is solved by ADI methods, which lays theory basis for further analyzing the stress field and the reason of pumping rod eccentric wear. The result shows: eccentric ratio is the most important factor to the velocity profile.

Velocity Distribution of Viscoelastic Fluid Axial Flowing in Eccentric Annulus Based on the Upper-Convected Maxwell Model

2012 ◽  
Vol 594-597 ◽  
pp. 2736-2739
Author(s):  
Xue Song Han ◽  
Fang Mei Li ◽  
Bao Jun Liu
Keyword(s):  
Velocity Distribution ◽  
Coordinate System ◽  
Viscoelastic Fluid ◽  
Control Volume ◽  
Maxwell Model ◽  
Flow Equation ◽  
Eccentric Annulus ◽  
Adi Methods ◽  
Volume Method ◽  
Upper Convected Maxwell Model

After polymer flooding has been put into effect in Daqing oilfield, eccentric wear of sucker rod and tubing has been so serious that it made the rods break. In order to analyze the cause of eccentric wear based on the upper-convected Maxwell model, the flow equation of viscoelastic fluid in eccentric annulus was established in cylinder coordinate system. Then the equation was transformed in bipolar coordinate system and dispersed by control-volume method. The velocity distribution was solved by ADI methods and example was calculated which provides theory basis for solving eccentric wear problems.

scholarly journals A New Formulation of Maxwell’s Equations

Symmetry ◽  
2021 ◽  
Vol 13 (5) ◽  
pp. 868
Author(s):  
Simona Fialová ◽  
František Pochylý
Keyword(s):  
Numerical Methods ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Control Volume ◽  
Control Volume Method ◽  
Integral Forms ◽  
New Formulation ◽  
Electrical Induction ◽  
Volume Method ◽  
Integral Identities

In this paper, new forms of Maxwell’s equations in vector and scalar variants are presented. The new forms are based on the use of Gauss’s theorem for magnetic induction and electrical induction. The equations are formulated in both differential and integral forms. In particular, the new forms of the equations relate to the non-stationary expressions and their integral identities. The indicated methodology enables a thorough analysis of non-stationary boundary conditions on the behavior of electromagnetic fields in multiple continuous regions. It can be used both for qualitative analysis and in numerical methods (control volume method) and optimization. The last Section introduces an application to equations of magnetic fluid in both differential and integral forms.

scholarly journals A Framework and Numerical Solution of the Drying Process in Porous Media by Using a Continuous Model

2019 ◽  
Vol 2019 ◽  
pp. 1-16 ◽  
Author(s):  
Hong Thai Vu ◽  
Evangelos Tsotsas
Keyword(s):  
Porous Media ◽  
Control Volume ◽  
Continuous Model ◽  
Control Volume Method ◽  
Drying Process ◽  
Transport Parameters ◽  
Governing Equations ◽  
Numerical Tools ◽  
Volume Method ◽  
The Continuum

The modelling and numerical simulation of the drying process in porous media are discussed in this work with the objective of presenting the drying problem as the system of governing equations, which is ready to be solved by many of the now widely available control-volume-based numerical tools. By reviewing the connection between the transport equations at the pore level and their up-scaled ones at the continuum level and then by transforming these equations into a format that can be solved by the control volume method, we would like to present an easy-to-use framework for studying the drying process in porous media. In order to take into account the microstructure of porous media in the format of pore-size distribution, the concept of bundle of capillaries is used to derive the needed transport parameters. Some numerical examples are presented to demonstrate the use of the presented formulas.

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