TY - JOUR
ID - 14699
TI - Numerical Simulation of Non-Newtonian Inelastic Flows in Channel based on Artificial Compressibility Method
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Yasir, Reisan Y.
AU - Al-Muslimawi, Alaa H.
AU - Jassim, Bashaeer K.
AD - Department of Mathematics, College of Science, University of Basrah, Basrah, Iraq
Y1 - 2020
PY - 2020
VL - 6
IS - 2
SP - 271
EP - 283
KW - Finite element method
KW - Galerkin method
KW - Naiver-Stoke
KW - Non-Newtonian
KW - Artificial compressibility method
DO - 10.22055/jacm.2019.29948.1650
N2 - In this study, inelastic constitutive modelling is considered for the simulation of shear-thinning fluids through a circular channel. Numerical solutions are presented for power-law inelastic model, considering axisymmetric Poiseuille flow through a channel. The numerical simulation of such fluid is performed by using the Galerkin finite element approach based on artificial compression method (AC-method). Usually, the Naiver-Stoke partial differential equations are used to describe fluid activity. These models consist of two partial differential equations; a continuity equation (mass conservation) and time-dependent conservation of momentum, which are maintained in the cylindrical coordinate system (axisymmetric) flow in current study. The effects of many factors such as Reynolds number (Re) and artificial compressibility parameter (ßac) are discussed in this study. In particular, this study confirms the effect of these parameters on the convergence level. To meet the method analysis, Poiseuille flow along a circular channel under an isothermal state is used as a simple test problem. This test is conducted by taking a circular section of the pipe. The Findings reveal that, there is a significant effect from the inelastic parameters upon the the velocity temporal convergence-rates of velocity, while for pressue, the change in convergence is modest. In addition, the rate of convergence is increased as the values of artificial compressibility parameter (ßac) are decreased.
UR - https://jacm.scu.ac.ir/article_14699.html
L1 - https://jacm.scu.ac.ir/article_14699_fe042cf6c8c12d9b83d37e24cc9df375.pdf
ER -