ANALYTICAL-NUMERICAL INVESTIGATION OF LIFTING AND NON-LIFTING POTENTIAL FLOW AROUND A CIRCULAR CYLINDER.

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Title: ANALYTICAL-NUMERICAL INVESTIGATION OF LIFTING AND NON-LIFTING POTENTIAL FLOW AROUND A CIRCULAR CYLINDER.
Authors: Islam, Nazrul1 mnazrul.math@just.edu.bd, Prodhan, Md. Rayhan2 mr.prodhan@just.edu.bd, Al Mahfuz, Md. Abdulla3 mahfuz191528@gmail.com, Kabir, Md. Humayun4 mhk.du.math@gmail.com
Source: NED University Journal of Research. 2026, Vol. 23 Issue 2, p196-213. 18p.
Subjects: Potential flow, Lift (Aerodynamics), Surface pressure, Flow velocity, Computer simulation, Cylinder (Shapes)
Abstract: This study presents an analytical-numerical investigation of two-dimensional incompressible potential flow around a circular cylinder under both non-lifting and lifting conditions. Closed-form expressions for velocity components and pressure coefficient are derived through the superposition of uniform flow, doublet, and point-vortex elements. A MATLAB-based numerical framework is developed to compute velocity fields, streamline patterns, stagnation-point locations, surface pressure distributions, and lift coefficients over a wide range of circulation strengths (-4 = T = 4). A systematic parametric study demonstrates a linear dependence between lift coefficient and circulation, in accordance with the Kutta-Joukowski theorem, and quantitatively describes the migration of stagnation points, growth of velocity asymmetry, and variation of maximum surface velocity with circulation. Numerical results are validated against analytical solutions, yielding relative errors below 3% for all tested cases. Although the governing theory is classical, the present work provides a unified, reproducible benchmark dataset and visualization framework that can be used for verification of numerical solvers and for educational and preliminary aerodynamic design purposes. [ABSTRACT FROM AUTHOR]
Copyright of NED University Journal of Research is the property of NED University of Engineering & Technology 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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  Data: ANALYTICAL-NUMERICAL INVESTIGATION OF LIFTING AND NON-LIFTING POTENTIAL FLOW AROUND A CIRCULAR CYLINDER.
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  Data: <searchLink fieldCode="AR" term="%22Islam%2C+Nazrul%22">Islam, Nazrul</searchLink><relatesTo>1</relatesTo><i> mnazrul.math@just.edu.bd</i><br /><searchLink fieldCode="AR" term="%22Prodhan%2C+Md%2E+Rayhan%22">Prodhan, Md. Rayhan</searchLink><relatesTo>2</relatesTo><i> mr.prodhan@just.edu.bd</i><br /><searchLink fieldCode="AR" term="%22Al+Mahfuz%2C+Md%2E+Abdulla%22">Al Mahfuz, Md. Abdulla</searchLink><relatesTo>3</relatesTo><i> mahfuz191528@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Kabir%2C+Md%2E+Humayun%22">Kabir, Md. Humayun</searchLink><relatesTo>4</relatesTo><i> mhk.du.math@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22NED+University+Journal+of+Research%22">NED University Journal of Research</searchLink>. 2026, Vol. 23 Issue 2, p196-213. 18p.
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  Data: <searchLink fieldCode="DE" term="%22Potential+flow%22">Potential flow</searchLink><br /><searchLink fieldCode="DE" term="%22Lift+%28Aerodynamics%29%22">Lift (Aerodynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+pressure%22">Surface pressure</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+velocity%22">Flow velocity</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Cylinder+%28Shapes%29%22">Cylinder (Shapes)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study presents an analytical-numerical investigation of two-dimensional incompressible potential flow around a circular cylinder under both non-lifting and lifting conditions. Closed-form expressions for velocity components and pressure coefficient are derived through the superposition of uniform flow, doublet, and point-vortex elements. A MATLAB-based numerical framework is developed to compute velocity fields, streamline patterns, stagnation-point locations, surface pressure distributions, and lift coefficients over a wide range of circulation strengths (-4 = T = 4). A systematic parametric study demonstrates a linear dependence between lift coefficient and circulation, in accordance with the Kutta-Joukowski theorem, and quantitatively describes the migration of stagnation points, growth of velocity asymmetry, and variation of maximum surface velocity with circulation. Numerical results are validated against analytical solutions, yielding relative errors below 3% for all tested cases. Although the governing theory is classical, the present work provides a unified, reproducible benchmark dataset and visualization framework that can be used for verification of numerical solvers and for educational and preliminary aerodynamic design purposes. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of NED University Journal of Research is the property of NED University of Engineering & Technology 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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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.35453/NEDJR-ASCN-2026-021.R2
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 18
        StartPage: 196
    Subjects:
      – SubjectFull: Potential flow
        Type: general
      – SubjectFull: Lift (Aerodynamics)
        Type: general
      – SubjectFull: Surface pressure
        Type: general
      – SubjectFull: Flow velocity
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Cylinder (Shapes)
        Type: general
    Titles:
      – TitleFull: ANALYTICAL-NUMERICAL INVESTIGATION OF LIFTING AND NON-LIFTING POTENTIAL FLOW AROUND A CIRCULAR CYLINDER.
        Type: main
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            NameFull: Islam, Nazrul
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            NameFull: Prodhan, Md. Rayhan
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            NameFull: Al Mahfuz, Md. Abdulla
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            NameFull: Kabir, Md. Humayun
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            – D: 01
              M: 04
              Text: 2026
              Type: published
              Y: 2026
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