Numerical Scheme to Simulate Combined Mixing and Separating Newtonian Fluid Flow in a Channel

Article Preview

Abstract:

The paper presents a semi-implicit time-stepping Taylor-Galerkin pressure correction primitive variable finite element algorithm to simulate fluid flow for two dimensional planar combined mixing and separating geometry. Two cases; one with reversed channel flows interacting through a gap in the common separating walls filled with Newtonian fluids in both arms of the channels and other with unidirectional flows were modeled in order to examine the performance of the scheme. Steady solutions were obtained using unsteady finite element scheme. The influence of increasing inertia on variation in flow directions and varying flow rate configurations in both channel arms are studied in detail. The scheme is found to be fast, robust and stable for varying Reynolds number.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

2798-2805

Citation:

Online since:

February 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] T. Cochrane, K. W., M. F. Webster (1981). On Newtonian and Non-Newtonian flow in Complex Geometries. Phil. Trans. R. Soc. LondonA 301: 163-181.

DOI: 10.1098/rsta.1981.0103

Google Scholar

[2] Walters, K. and M. F. Webster (1982). On Dominating Elastico-Viscous Response in Some Complex Flows. Philosophical Transactions of the Royal Society of London Series A, Mathematical and Physical Sciences 308(1502): 199-218.

DOI: 10.1098/rsta.1982.0159

Google Scholar

[3] A. Baloch, P. T. a. M. F. W. (1995). On the simulation of highly elastic complex flows. Journal of Non-Newtonian Fluid Mechanics 59(2-3): 111-128.

DOI: 10.1016/0377-0257(95)01369-7

Google Scholar

[4] Fiétier, N. and M. O. Deville (2003). Time-dependent algorithms for the simulation of viscoelastic flows with spectral element methods: applications and stability. Journal of Computational Physics 186(1): 93-121.

DOI: 10.1016/s0021-9991(03)00013-5

Google Scholar

[5] A. Afonoso, M. A. A., R. J. Poole, P. J. Oliveira and F. T. Pinho (2008).

Google Scholar

[6] D. Hawken, H. R. Tamaddon-Jahromi, et al. (1990). A Taylor-Galerkin-based algorithm for viscous incompressible flow. International Journal for Numerical Methods in Fluids 10(3): 327-351.

DOI: 10.1002/fld.1650100307

Google Scholar

[7] Jean, D. (1984). A Taylor-Galerkin method for convective transport problems. International Journal for Numerical Methods in Engineering 20(1): 101-119.

Google Scholar