Easy method to establish the dispersion relation of capillary waves on water jets.

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Title: Easy method to establish the dispersion relation of capillary waves on water jets.
Authors: Goesaert, Wout M.1 (AUTHOR) w.m.goesaert@umail.leidenuniv.nl, Logman, Paul S. W. M.1 (AUTHOR) logman@physics.leidenuniv.nl
Source: American Journal of Physics. Feb2024, Vol. 92 Issue 2, p93-99. 7p.
Subjects: Dispersion relations, Water waves, Capillary waves, Water jets, Phase velocity, Wavelength measurement
Abstract: A simple, intuitive, and low-cost setup for generating and measuring capillary waves is presented enabling a precise determination of the dispersion relation for a cylindrical water jet. By setting the phase velocity and measuring the wavelength of capillary waves directly, this method provides an intuitive way for students to understand the dispersion relation of a cylindrical water jet. The setup produced measurements of wavelength versus phase velocity over a broader range of values than earlier work. The resulting data are generally consistent with earlier results but show an error of up to 15% at both the higher and lower end of the measured range of wavelengths compared to the theoretical dispersion relation of cylindrical water jets. For the shorter wavelengths, the deviation is in the opposite direction from that of earlier work. [ABSTRACT FROM AUTHOR]
Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Easy method to establish the dispersion relation of capillary waves on water jets.
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  Data: <searchLink fieldCode="AR" term="%22Goesaert%2C+Wout+M%2E%22">Goesaert, Wout M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> w.m.goesaert@umail.leidenuniv.nl</i><br /><searchLink fieldCode="AR" term="%22Logman%2C+Paul+S%2E+W%2E+M%2E%22">Logman, Paul S. W. M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> logman@physics.leidenuniv.nl</i>
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  Data: <searchLink fieldCode="JN" term="%22American+Journal+of+Physics%22">American Journal of Physics</searchLink>. Feb2024, Vol. 92 Issue 2, p93-99. 7p.
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  Data: <searchLink fieldCode="DE" term="%22Dispersion+relations%22">Dispersion relations</searchLink><br /><searchLink fieldCode="DE" term="%22Water+waves%22">Water waves</searchLink><br /><searchLink fieldCode="DE" term="%22Capillary+waves%22">Capillary waves</searchLink><br /><searchLink fieldCode="DE" term="%22Water+jets%22">Water jets</searchLink><br /><searchLink fieldCode="DE" term="%22Phase+velocity%22">Phase velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Wavelength+measurement%22">Wavelength measurement</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: A simple, intuitive, and low-cost setup for generating and measuring capillary waves is presented enabling a precise determination of the dispersion relation for a cylindrical water jet. By setting the phase velocity and measuring the wavelength of capillary waves directly, this method provides an intuitive way for students to understand the dispersion relation of a cylindrical water jet. The setup produced measurements of wavelength versus phase velocity over a broader range of values than earlier work. The resulting data are generally consistent with earlier results but show an error of up to 15% at both the higher and lower end of the measured range of wavelengths compared to the theoretical dispersion relation of cylindrical water jets. For the shorter wavelengths, the deviation is in the opposite direction from that of earlier work. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of American Journal of Physics is the property of American Institute of Physics and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1119/5.0144849
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      – Code: eng
        Text: English
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        PageCount: 7
        StartPage: 93
    Subjects:
      – SubjectFull: Dispersion relations
        Type: general
      – SubjectFull: Water waves
        Type: general
      – SubjectFull: Capillary waves
        Type: general
      – SubjectFull: Water jets
        Type: general
      – SubjectFull: Phase velocity
        Type: general
      – SubjectFull: Wavelength measurement
        Type: general
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      – TitleFull: Easy method to establish the dispersion relation of capillary waves on water jets.
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              Text: Feb2024
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              Y: 2024
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