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Numerical simulation of flow of a shear-thinning Carreau fluid over a transversely oscillating cylinder

Published online by Cambridge University Press:  01 July 2021

Md. Irshad Alam ,
Apurva Raj ,
Piru Mohan Khan ,
Subrata Kumar  and
Somnath Roy Open the ORCID record for Somnath Roy [Opens in a new window]
Md. Irshad Alam
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Patna, Bihta, Bihar801103, India
Apurva Raj
Affiliation:
Department of Aerospace Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal721302, India
Piru Mohan Khan
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal721302, India
Subrata Kumar
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Patna, Bihta, Bihar801103, India
Somnath Roy*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal721302, India
*
†Email address for correspondence: [email protected]
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Abstract

Flow of a shear-thinning fluid over curved and moving geometries demands special attention owing to its industrial and biological relevance. The present study reports a numerical simulation of the motion of a Carreau fluid over a transversely oscillating cylinder for a range of oscillation amplitudes and frequencies at Reynolds number $Re = 100$, and compares the flow behaviour with that of a Newtonian fluid. The numerical solver uses the sharp-interface immersed boundary method to reconstruct the flow variables at the intercepted cells in the vicinity of the moving cylinder geometry. Synchronized vortex shedding is observed during the locked-in oscillation mode, whereas paired counter-rotating vortices are shed during the non-locked-in mode. The generation of vorticity and enstrophy variations in the Carreau and Newtonian fluids are compared. The vortex patterns in the Carreau fluid show a strong difference from those of the Newtonian fluid at higher amplitude of oscillation ($A^{*} = 1.2$). This difference in the flow structures is explained through the behaviour of the diffusion terms in the vorticity transport equation. Further, the effect of the Carreau fluid properties on the flow structures and vorticity dynamics are also discussed.

JFM classification

Mathematical Foundations: Computational methods Non-Newtonian Flows: Rheology Vortex Flows: Vortex dynamics
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 921 , 25 August 2021 , A23
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

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Alam et al Supplementary Movie 1

The variations in viscosity during the cylinder oscillation cycles at A*=0.4, f*=0.6, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 1(Video)
Video 2.3 MB

Alam et al Supplementary Movie 2

The variations in viscosity during the cylinder oscillation cycles at A*=0.4, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 2(Video)
Video 1.4 MB

Alam et al Supplementary Movie 3

The variations in viscosity during the cylinder oscillation cycles at A*=1.0, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 3(Video)
Video 1.5 MB

Alam et al Supplementary Movie 4

The variations in viscosity during the cylinder oscillation cycles at A*=1.2, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 4(Video)
Video 1.5 MB

Alam et al Supplementary Movie 5

The variations in viscosity during the cylinder oscillation cycles at A*=0.4, f*=1.0, Cu = 10.0 and n = 0.25.

Download Alam et al Supplementary Movie 5(Video)
Video 2.6 MB

Alam et al Supplementary Movie 6

The variations in vorticity during the cylinder oscillation cycles at A*=0.4, f*=0.6, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 6(Video)
Video 2.3 MB

Alam et al Supplementary Movie 7

The variations in vorticity during the cylinder oscillation cycles at A*=0.4, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 7(Video)
Video 1.5 MB

Alam et al Supplementary Movie 8

The variations in vorticity during the cylinder oscillation cycles at A*=1.0, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 8(Video)
Video 1.6 MB

Alam et al Supplementary Movie 9

The variations in vorticity during the cylinder oscillation cycles at A*=1.2, f*=1.0, Cu = 1.0 and n = 0.25.

Download Alam et al Supplementary Movie 9(Video)
Video 1.6 MB

Alam et al Supplementary Movie 10

The variations in vorticity during the cylinder oscillation cycles at A*=0.4, f*=1.0, Cu = 10.0 and n = 0.25.

Download Alam et al Supplementary Movie 10(Video)
Video 2.2 MB