Wavy Aspects in a Precessed Cylindrical Open Channel

Hajar Alshoufi

doi:doi:10.11648/j.ijfmts.20210703.11

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Wavy Aspects in a Precessed Cylindrical Open Channel

Hajar Alshoufi

Published in International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 3)

Received: 24 October 2021 Accepted: 15 November 2021 Published: 23 November 2021

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Abstract

In this letter some experimental and theoretical results from the flow in open cylindrical channel under precession conditions are reported. This includes the linear solutions of velocity field based on real experimental observations, and the nonlinear solution where a new weakly nonlinear KdV model equation is derived and solved numerically, this was compared with the real single Kelvin mode of the problem that appears in a symmetrical form with constant speed. The paper also shades the light on the instability features, mainly the wave breaking of single Kelvin mode, that is considered the resonance case of the problem, a new instability diagram in terms of Strouhal and Reynolds numbers is presented for the different cases reported from the experiment. The measurements of the mean azimuthal flow have been carried out using particle tracking procedure that enabled us finally to extract equation fit connects between the control parameters of the problem (which are the water volume, the angle of tilt and rotation rate) and the drift velocity the results pours in favor of the ADV measurements extracted in the previous work, and show that the mean flow increases by increasing both the tilt and the rotation rate where the instability features in the system appear at earlier levels, while increasing the water volume needs more energy to get the flow instability.

Published in	International Journal of Fluid Mechanics & Thermal Sciences (Volume 7, Issue 3)
DOI	10.11648/j.ijfmts.20210703.11
Page(s)	22-26
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Precession, Open Channel Flow, KdV Equation

References

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[2]	W. Thomson. Vibration of a Columnar Vortex, Proceedings of the Royal Society of Edinburgh, 5 (1880) 155-168.
[3]	H. E. Alshoufi. On the forced oscillations in a precessing open cylindrical channel, AIP Advances. 11 (2021) 3-23. (a)
[4]	A. D. McEwan. Inertial oscillations in a rotating fluid cylinder, J. Fluid Mechanics. 40 (1970) 603-640.
[5]	L. Romain, M. Patrice, N. François, and E. Christophe. Precessional instability of a fluid cylinder, J. Fluid Mech. 666 (2011) 104-145.
[6]	D. Cébron, M. Le Bars, P. Maubert, and P. Le Gal. Magnetohydrodynamic simulations of elliptical instability in inertial ellipsoids, Geophysical and Astrophysical Fluid Dynamics. 106 (2006) 524-546.
[7]	W. V. R. Malkus Precession of the Earth as the Cause of Geomagnetism, Science. 160 (1968) 259-264.
[8]	R. Manasseh. Breakdown regimes of inertia waves in a precessing cylinder, J. Fluid Mechanics. 243 (1992) 261-296.
[9]	B. N. Agrawal. Dynamic Characteristics of Liquid Motion in Partially Filled Tanks of a Spinning Spacecraft, Journal of Guidance, Control, and Dynamics. 16 (1993) 636-640.
[10]	H. R., Vaughn, W. L. Oberkampf, and W. P. Wolfe. Fluid motion inside a spinning nutation cylinder, J. Fluid Mech. 150 (1985) 121-138.
[11]	R. R. Kerswell. Secondary instabilities in rapidly rotating fluids: inertial wave breakdown, J. Fluid Mechanics. 382 (1999) 283-306.
[12]	R. Thompson. Diurnal tides and shear instabilities in a rotating cylinder, J. Fluid Mechanics, 40 (1970) 737-751.
[13]	S. Stergiopoulos, and K. D. Aldridge. Inertial Waves in a Fluid Partially Filling a Cylindrical Cavity during Spin-Up from Rest, Geophys. Astrophys. Fluid Dynamics. 21 (1982) 89-112.
[14]	C. Eloy, P. Le Gal, and S. Le Dizès. Elliptic and triangular instabilities in rotating cylinders, J. Fluid Mech. 476 (2003) 357-388.
[15]	H. Alshoufi. KdV Equation Model in Open Cylindrical Channel under Precession, Journal of Nonlinear Mathematical Physics. 2021. (b)
[16]	J. S. Gunn, and K. D. Aldridge. Inertial wave eigenfrequencies for a nonuniformly rotating fluid, Physics of Fluids. 2 (1990) 2055-2060.

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APA Style

Hajar Alshoufi. (2021). Wavy Aspects in a Precessed Cylindrical Open Channel. International Journal of Fluid Mechanics & Thermal Sciences, 7(3), 22-26. https://doi.org/10.11648/j.ijfmts.20210703.11

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ACS Style

Hajar Alshoufi. Wavy Aspects in a Precessed Cylindrical Open Channel. Int. J. Fluid Mech. Therm. Sci. 2021, 7(3), 22-26. doi: 10.11648/j.ijfmts.20210703.11

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AMA Style

Hajar Alshoufi. Wavy Aspects in a Precessed Cylindrical Open Channel. Int J Fluid Mech Therm Sci. 2021;7(3):22-26. doi: 10.11648/j.ijfmts.20210703.11

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@article{10.11648/j.ijfmts.20210703.11,
  author = {Hajar Alshoufi},
  title = {Wavy Aspects in a Precessed Cylindrical Open Channel},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {3},
  pages = {22-26},
  doi = {10.11648/j.ijfmts.20210703.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210703.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210703.11},
  abstract = {In this letter some experimental and theoretical results from the flow in open cylindrical channel under precession conditions are reported. This includes the linear solutions of velocity field based on real experimental observations, and the nonlinear solution where a new weakly nonlinear KdV model equation is derived and solved numerically, this was compared with the real single Kelvin mode of the problem that appears in a symmetrical form with constant speed. The paper also shades the light on the instability features, mainly the wave breaking of single Kelvin mode, that is considered the resonance case of the problem, a new instability diagram in terms of Strouhal and Reynolds numbers is presented for the different cases reported from the experiment. The measurements of the mean azimuthal flow have been carried out using particle tracking procedure that enabled us finally to extract equation fit connects between the control parameters of the problem (which are the water volume, the angle of tilt and rotation rate) and the drift velocity the results pours in favor of the ADV measurements extracted in the previous work, and show that the mean flow increases by increasing both the tilt and the rotation rate where the instability features in the system appear at earlier levels, while increasing the water volume needs more energy to get the flow instability.},
 year = {2021}
}

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TY  - JOUR
T1  - Wavy Aspects in a Precessed Cylindrical Open Channel
AU  - Hajar Alshoufi
Y1  - 2021/11/23
PY  - 2021
N1  - https://doi.org/10.11648/j.ijfmts.20210703.11
DO  - 10.11648/j.ijfmts.20210703.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 22
EP  - 26
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20210703.11
AB  - In this letter some experimental and theoretical results from the flow in open cylindrical channel under precession conditions are reported. This includes the linear solutions of velocity field based on real experimental observations, and the nonlinear solution where a new weakly nonlinear KdV model equation is derived and solved numerically, this was compared with the real single Kelvin mode of the problem that appears in a symmetrical form with constant speed. The paper also shades the light on the instability features, mainly the wave breaking of single Kelvin mode, that is considered the resonance case of the problem, a new instability diagram in terms of Strouhal and Reynolds numbers is presented for the different cases reported from the experiment. The measurements of the mean azimuthal flow have been carried out using particle tracking procedure that enabled us finally to extract equation fit connects between the control parameters of the problem (which are the water volume, the angle of tilt and rotation rate) and the drift velocity the results pours in favor of the ADV measurements extracted in the previous work, and show that the mean flow increases by increasing both the tilt and the rotation rate where the instability features in the system appear at earlier levels, while increasing the water volume needs more energy to get the flow instability.
VL  - 7
IS  - 3
ER  -

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Author Information

Hajar Alshoufi

Faculty of Civil Engineering, Budapest University of Technology and Economics, Budapest, Hungary

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APA Style

Hajar Alshoufi. (2021). Wavy Aspects in a Precessed Cylindrical Open Channel. International Journal of Fluid Mechanics & Thermal Sciences, 7(3), 22-26. https://doi.org/10.11648/j.ijfmts.20210703.11

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ACS Style

Hajar Alshoufi. Wavy Aspects in a Precessed Cylindrical Open Channel. Int. J. Fluid Mech. Therm. Sci. 2021, 7(3), 22-26. doi: 10.11648/j.ijfmts.20210703.11

Copy | Download

AMA Style

Hajar Alshoufi. Wavy Aspects in a Precessed Cylindrical Open Channel. Int J Fluid Mech Therm Sci. 2021;7(3):22-26. doi: 10.11648/j.ijfmts.20210703.11

Copy | Download

@article{10.11648/j.ijfmts.20210703.11,
  author = {Hajar Alshoufi},
  title = {Wavy Aspects in a Precessed Cylindrical Open Channel},
  journal = {International Journal of Fluid Mechanics & Thermal Sciences},
  volume = {7},
  number = {3},
  pages = {22-26},
  doi = {10.11648/j.ijfmts.20210703.11},
  url = {https://doi.org/10.11648/j.ijfmts.20210703.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijfmts.20210703.11},
  abstract = {In this letter some experimental and theoretical results from the flow in open cylindrical channel under precession conditions are reported. This includes the linear solutions of velocity field based on real experimental observations, and the nonlinear solution where a new weakly nonlinear KdV model equation is derived and solved numerically, this was compared with the real single Kelvin mode of the problem that appears in a symmetrical form with constant speed. The paper also shades the light on the instability features, mainly the wave breaking of single Kelvin mode, that is considered the resonance case of the problem, a new instability diagram in terms of Strouhal and Reynolds numbers is presented for the different cases reported from the experiment. The measurements of the mean azimuthal flow have been carried out using particle tracking procedure that enabled us finally to extract equation fit connects between the control parameters of the problem (which are the water volume, the angle of tilt and rotation rate) and the drift velocity the results pours in favor of the ADV measurements extracted in the previous work, and show that the mean flow increases by increasing both the tilt and the rotation rate where the instability features in the system appear at earlier levels, while increasing the water volume needs more energy to get the flow instability.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Wavy Aspects in a Precessed Cylindrical Open Channel
AU  - Hajar Alshoufi
Y1  - 2021/11/23
PY  - 2021
N1  - https://doi.org/10.11648/j.ijfmts.20210703.11
DO  - 10.11648/j.ijfmts.20210703.11
T2  - International Journal of Fluid Mechanics & Thermal Sciences
JF  - International Journal of Fluid Mechanics & Thermal Sciences
JO  - International Journal of Fluid Mechanics & Thermal Sciences
SP  - 22
EP  - 26
PB  - Science Publishing Group
SN  - 2469-8113
UR  - https://doi.org/10.11648/j.ijfmts.20210703.11
AB  - In this letter some experimental and theoretical results from the flow in open cylindrical channel under precession conditions are reported. This includes the linear solutions of velocity field based on real experimental observations, and the nonlinear solution where a new weakly nonlinear KdV model equation is derived and solved numerically, this was compared with the real single Kelvin mode of the problem that appears in a symmetrical form with constant speed. The paper also shades the light on the instability features, mainly the wave breaking of single Kelvin mode, that is considered the resonance case of the problem, a new instability diagram in terms of Strouhal and Reynolds numbers is presented for the different cases reported from the experiment. The measurements of the mean azimuthal flow have been carried out using particle tracking procedure that enabled us finally to extract equation fit connects between the control parameters of the problem (which are the water volume, the angle of tilt and rotation rate) and the drift velocity the results pours in favor of the ADV measurements extracted in the previous work, and show that the mean flow increases by increasing both the tilt and the rotation rate where the instability features in the system appear at earlier levels, while increasing the water volume needs more energy to get the flow instability.
VL  - 7
IS  - 3
ER  -

Copy | Download