Bifurcation phenomena in the flow through a sudden expansion in a circular pipe

2009 ◽  
Vol 21 (1) ◽  
pp. 014110 ◽  
Author(s):  
T. Mullin ◽  
J. R. T. Seddon ◽  
M. D. Mantle ◽  
A. J. Sederman

In this work, bifurcation characteristics of unsteady, viscous, Newtonian laminar flow in two-dimensional sudden expansion and sudden contraction-expansion channels have been studied for different values of expansion ratio. The governing equations have been solved using finite volume method and FLUENT software has been employed to visualize the simulation results. Three different mesh studies have been performed to calculate critical Reynolds number (Recr) for different types of bifurcation phenomena. It is found that Recr decreases with the increase in expansion ratio (ER).


2010 ◽  
Vol 22 (3) ◽  
pp. 034101 ◽  
Author(s):  
C. D. Cantwell ◽  
D. Barkley ◽  
H. M. Blackburn

2011 ◽  
Vol 691 ◽  
pp. 201-213 ◽  
Author(s):  
E. Sanmiguel-Rojas ◽  
T. Mullin

AbstractResults of three-dimensional numerical simulations of the flow through a sudden expansion in a pipe are presented. The axisymmetric state is known to be stable over the range of Reynolds numbers studied, but recent experimental results suggest bifurcation phenomena. A resolution of this dichotomy between calculation and experiment is provided using imperfections to promote the nonlinear development of asymmetric steady states. These lose stability to disordered motion and the boundary between the steady and time-dependent flows has been established over a range of parameters. Moreover, disordered flows are found to co-exist with the axisymmetric regime when the disturbance is removed from the flow. Hence we provide direct numerical evidence for multiplicity of solutions for the axisymmetric expansion problem, which may have relevance to pipe flows.


2018 ◽  
Vol 30 (3) ◽  
pp. 031701 ◽  
Author(s):  
Benoit Lebon ◽  
Minh Quan Nguyen ◽  
Jorge Peixinho ◽  
Mostafa Safdari Shadloo ◽  
Abdellah Hadjadj

2021 ◽  
Vol 6 (7) ◽  
Author(s):  
Boris Y. Rubinstein ◽  
Dana Zusmanovich ◽  
Zhenzhen Li ◽  
Alexander M. Leshansky

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