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Heave added mass coefficient of a spherical buoy.

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Title: Heave added mass coefficient of a spherical buoy.
Authors: Usman, Muhammad1 (AUTHOR), Behera, Nalinikanta1 (AUTHOR), Masoud, Hassan1 (AUTHOR) hmasoud@clemson.edu
Source: Journal of Engineering Mathematics. 5/16/2026, Vol. 158 Issue 1, p1-21. 21p.
Subjects: Buoys, Potential flow, Wave energy, Oscillations, Perturbation theory, Inertia (Mechanics), Asymptotic analysis
Abstract: We present a theoretical framework for estimating the added mass of a partially submerged spherical buoy undergoing heave oscillations. Asymptotic analyses are conducted in the limiting cases of low and high oscillation frequencies, where the classical potential flow theory applies. For each frequency regime, we consider two canonical geometries that approximate the wetted surface of the buoy: (i) a small perturbation about a reference flat disk, relevant when the immersion depth is small compared to the buoy radius (immersion ratio ε d ≪ 1 ), and (ii) a small perturbation about a reference hemisphere, appropriate when the immersion depth is comparable to the radius. Perturbation expansions for the added mass are derived in each case. By smoothly bridging the results from these asymptotic limits, we construct a composite approximation for the added mass across a wide range of immersion ratios. This theoretical prediction is validated against direct numerical simulations, showing excellent agreement: the error remains below 1.1% for ε d ≤ 1 , below 6% for 1 < ε d ≤ 2 , and below 25% for 2 < ε d ≤ 3.75 . Our results offer a tractable and yet physically grounded model for added mass evaluation, applicable to the analysis and optimization of systems involving floating oscillating bodies, such as two-body wave energy converters. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Engineering Mathematics is the property of Springer Nature 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.)
Database: Engineering Source
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PubType: Academic Journal
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  Data: Heave added mass coefficient of a spherical buoy.
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– Name: Abstract
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  Group: Ab
  Data: We present a theoretical framework for estimating the added mass of a partially submerged spherical buoy undergoing heave oscillations. Asymptotic analyses are conducted in the limiting cases of low and high oscillation frequencies, where the classical potential flow theory applies. For each frequency regime, we consider two canonical geometries that approximate the wetted surface of the buoy: (i) a small perturbation about a reference flat disk, relevant when the immersion depth is small compared to the buoy radius (immersion ratio ε d ≪ 1 ), and (ii) a small perturbation about a reference hemisphere, appropriate when the immersion depth is comparable to the radius. Perturbation expansions for the added mass are derived in each case. By smoothly bridging the results from these asymptotic limits, we construct a composite approximation for the added mass across a wide range of immersion ratios. This theoretical prediction is validated against direct numerical simulations, showing excellent agreement: the error remains below 1.1% for ε d ≤ 1 , below 6% for 1 &lt; ε d ≤ 2 , and below 25% for 2 &lt; ε d ≤ 3.75 . Our results offer a tractable and yet physically grounded model for added mass evaluation, applicable to the analysis and optimization of systems involving floating oscillating bodies, such as two-body wave energy converters. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: &lt;i&gt;Copyright of Journal of Engineering Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder&#39;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.&lt;/i&gt; (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1007/s10665-026-10523-5
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        Text: English
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      – SubjectFull: Buoys
        Type: general
      – SubjectFull: Potential flow
        Type: general
      – SubjectFull: Wave energy
        Type: general
      – SubjectFull: Oscillations
        Type: general
      – SubjectFull: Perturbation theory
        Type: general
      – SubjectFull: Inertia (Mechanics)
        Type: general
      – SubjectFull: Asymptotic analysis
        Type: general
    Titles:
      – TitleFull: Heave added mass coefficient of a spherical buoy.
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            NameFull: Usman, Muhammad
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            NameFull: Behera, Nalinikanta
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            NameFull: Masoud, Hassan
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            – D: 16
              M: 05
              Text: 5/16/2026
              Type: published
              Y: 2026
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