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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v32.i4.20
pages 402-419

Oscillatory Flow in a Tube with Multiple Constrictions

Gorachand C. Layek
Department of Mathematics, University of Burdwan Burdwan, West Bengal, India
Swati Mukhopadhyay
Department of Mathematics, The University of Burdwan, India
Sk. A. Samad
Department of Mathematics, The University of Burdwan, Burdwan - 713104, W.B., India

ABSTRACT

The unsteady incompressible Navier-Stokes equations are solved numerically in primitive variables (pressure and velocity) for calculating the flow variables in a tube with multiple constrictions under the axi-symmetric approximations. The computation is carried over by taking a suitable transformation for multiple constrictions. The effects of multiple constrictions on a viscous flow field are investigated. The disturbances created by the constrictions are mainly concentrated in the exit of the last constriction. It is found that over the entire Reynolds number ranges studied here, the flow in the downstream of the constrictions is dominated by the strong recirculating flow associated with a shear layer. Oscillatory flow has been noted at the Reynolds number 175 for 75 % area reduction in four consecutive constrictions in a tube. The streamwise velocity components at different points in the downstream of the constrictions oscillate with frequency 1.1. The computed wall shear stress, pressure, and stream lines are also noted fluctuating in the downstream of the constrictions. The flow characteristics (such as central line velocity, pressure distribution, wall shear stress, and stream lines at different Reynolds numbers) are shown graphically, and their consequences in the human cardiovascular system are discussed at length.


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