On the onset of secondary flow and unsteady solutions through a loosely coiled rectangular duct for large aspect ratio
- Department of Mathematics, Notredame Colleage, Motijheel, Dhaka (Bangladesh)
The study of flows through coiled ducts and channels has attracted considerable attention not only because of their ample applications in Chemical, Mechanical, Civil, Nuclear and Biomechanical engineering but also because of their ample applications in other areas, such as blood flow in the veins and arteries of human and other animals. In this paper, a numerical study is presented for the fully developed two-dimensional flow of viscous incompressible fluid through a loosely coiled rectangular duct of large aspect ratio. Numerical calculations are carried out by using a spectral method, and covering a wide range of the Dean number, Dn, for two types of curvatures of the duct. The main concern of the present study is to find out effects of curvature as well as formation of secondary vortices on unsteady solutions whether the unsteady flow is steady-state, periodic, multi-periodic or chaotic, if Dn is increased. Time evolution calculations as well as their phase spaces are performed with a view to study the non-linear behavior of the unsteady solutions, and it is found that the steady-state flow turns into chaotic flow through various flow instabilities, if Dn is increased no matter what the curvature is. It is found that the unsteady flow is a steady-state solution for small Dn’s and oscillates periodically or non-periodically (chaotic) between two- and twelve-vortex solutions, if Dn is increased. It is also found that the chaotic solution is weak for small Dn’s but strong as Dn becomes large. Axial flow distribution is also investigated and shown in contour plots.
- OSTI ID:
- 22608547
- Journal Information:
- AIP Conference Proceedings, Vol. 1754, Issue 1; Conference: ICME 2015: 11. international conference on mechanical engineering, Dhaka (Bangladesh), 18-20 Dec 2015; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
ARTERIES
ASPECT RATIO
BLOOD
BLOOD FLOW
CHAOS THEORY
DISTRIBUTION
DUCTS
FLUIDS
HUMAN POPULATIONS
INSTABILITY
MATHEMATICAL SOLUTIONS
NUMERICAL ANALYSIS
PERIODICITY
PHASE SPACE
SIMULATION
STEADY-STATE CONDITIONS
TWO-DIMENSIONAL CALCULATIONS
UNSTEADY FLOW
VEINS
VORTICES