Numerical simulation of pressure-driven startup laminar flows through a planar T-junction channel. (English) Zbl 1242.76130
Summary: A start-up flow of a viscous incompressible fluid in a T-junction channel is studied numerically. The flow starting from rest is driven by a constant pressure drops suddenly applied between the entries and exits of a planar T-junction channel. The Navier-Stokes equations in primitive variables are solved numerically using finite-volume techniques. Predicted variations with time of the volume flow rates and the flow patterns are presented for several values of pressure drops. It has been shown that a start-up flow can pass through different regimes (or different flow direction) before asymptotically reaching steady state distribution.
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
start-up laminar flow; viscous incompressible fluid; planar T-junction channel; finite volume method; Navier-Stokes equationsSoftware:
FLUENTReferences:
| [1] | Liepsch, D. W., Flow in tubes and arteries-a comparison, Biorheology, 23, 395-433 (1986), [PubMed:3779064] |
| [2] | Antontsev, S. N.; Kazhikhov, A. V.; Monakhov, V. N., Boundary value problems in mechanics of nonhomogeneous fluids (1990), North Holland, Elsevier Science Publishing Company Inc: North Holland, Elsevier Science Publishing Company Inc New York · Zbl 0696.76001 |
| [3] | Ragulin, V. V., On the problem of viscous fluid flow through bounded domain with given pressure or force, Dinamika Sploshn Sredy: Sb Nauch Tr Akad Nauk SSSR, Novosibirsk, Institut Gidrodinamiki, 27, 78-92 (1976) |
| [4] | Anagnostopoulos, J. S.; Mathioulakis, D. S., Unsteady flow field in a square tube T-junction, Phys Fluids, 16, 11, 3900-3910 (2004) · Zbl 1187.76022 |
| [5] | Miranda, A. I.P.; Oliveira, P. J.; Pinho, F. T., Steady and unsteady laminar flows of Newtonian and generalized Newtonian fluids in a planar T-junction, Int J Numer Methods Fluids, 57, 295-328 (2008) · Zbl 1241.76122 |
| [6] | Kelkar, K. M.; Choudhury, D., Numerical method for the prediction of incompressible flow and heat transfer in domains with specified pressure boundary conditions, Numer Heat Transfer, Part B, 38, 15-36 (2000) |
| [7] | Moshkin, N. P.; Yambangwai, D., Steady viscous incompressible flow driven by a pressure difference in a planar T-junction channel, Int J Comput Fluid Dyn, 23, 3, 259-270 (2009) · Zbl 1184.76749 |
| [8] | Moshkin, N. P.; Yambangwai, D., On numerical solution of the incompressible Navier-Stokes equations with static or total pressure specified on boundaries, Math Problems Eng, 372703, 26 (2009) · Zbl 1207.76051 |
| [9] | Donald, S., A two-dimensional interpolation function for irregularly-spaced data, Proc-1968 ACM National Conf, 517-524 (1968) |
| [10] | Fluent Inc., 1998. FLUENT 5.0 UDF User’s Guide, Fluent Incorporated Centerra Resource Park 10 Cavendish Court Lebanon, NH 03766.; Fluent Inc., 1998. FLUENT 5.0 UDF User’s Guide, Fluent Incorporated Centerra Resource Park 10 Cavendish Court Lebanon, NH 03766. |
| [11] | Hayes, R. E.; Nandkumar, K.; Nasr-El-Din, H., Steady laminar flow in a 90 degree planar branch, Comput Fluids, 17, 4, 537-553 (1989) |
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