scholarly journals DISCRETIZATION METHOD FOR CONSTITUTIVE EQUATION OF MAXWELL FLUID ON COLLOCATED GRID SYSTEM BY FINITE VOLUME METHOD

Author(s):  
Kodai NAGANO ◽  
Daisuke TORIU ◽  
Satoru USHIJIMA
2004 ◽  
Vol 196 (1) ◽  
pp. 348-366 ◽  
Author(s):  
Wen Zhong Shen ◽  
Jess A Michelsen ◽  
Jens Nørkær Sørensen

1991 ◽  
Vol 19 (3-4) ◽  
pp. 287-295 ◽  
Author(s):  
Nobuyuki Taniguchi ◽  
Toshio Kobayashi

2018 ◽  
Vol 7 (2) ◽  
pp. 88
Author(s):  
ALIFANDA PINKAN LUDICA ◽  
P. H. GUNAWAN ◽  
ANIQ A. ROHMAWATI

The avalanche is simulated using the Savage-Hutter model with Finite Volume Method (FVM) as a numerical solution in one dimension. The scheme used in FVM is collocated-grid. The aim of this research is to observe the avalanche based on different sediment types on the incline bed with the same initial sediment height. These simulations produce the value of velocity and height avalanche. For each type of sediment has a difference in velocity and height of avalanche affected by the internal angle of friction and the bed friction angle. Sediments with the highest bed friction angle have highest speed. The average velocity of each sediment are Quartz with u = 10.627, Yellow Sand with u = 7.437, and Rice with u = 2.1178 at time t = 1.


1996 ◽  
Vol 36 (9) ◽  
pp. 1157-1165 ◽  
Author(s):  
Pil-Ryung Cha ◽  
Yun-Seong Hwang ◽  
Yung-Joo Oh ◽  
Soon Hyo Chung ◽  
Jong-Kyu Yoon

Polymers ◽  
2021 ◽  
Vol 13 (24) ◽  
pp. 4454
Author(s):  
Célio Fernandes ◽  
Ahmad Fakhari ◽  
Željko Tukovic

Polymer extrudate swelling is a rheological phenomenon that occurs after polymer melt flow emerges at the die exit of extrusion equipment due to molecular stress relaxations and flow redistributions. Specifically, with the growing demand for large scale and high productivity, polymer pipes have recently been produced by extrusion. This study reports the development of a new incompressible non-isothermal finite volume method, based on the Arbitrary Lagrangian–Eulerian (ALE) formulation, to compute the viscous flow of polymer melts obeying the Herschel–Bulkley constitutive equation. The Papanastasiou-regularized version of the constitutive equation is employed. The influence of the temperature on the rheological behavior of the material is controlled by the Williams–Landel–Ferry (WLF) function. The new method is validated by comparing the extrudate swell ratio obtained for Bingham and Herschel–Bulkley flows (shear-thinning and shear-thickening) with reference data found in the scientific literature. Additionally, the essential flow characteristics including yield-stress, inertia and non-isothermal effects were investigated.


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