Numerical solution of chemically reactive and thermally radiative MHD Prandtl nanofluid over a curved surface with convective boundary conditions.

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Title: Numerical solution of chemically reactive and thermally radiative MHD Prandtl nanofluid over a curved surface with convective boundary conditions.
Authors: Rasheed, Haroon Ur1 (AUTHOR), Islam, Saeed1 (AUTHOR), Zeeshan2 (AUTHOR) zeeshansuit@gmail.com, Khan, Jahangir3 (AUTHOR), Abbas, Tariq3 (AUTHOR), Mohmand, Muhammad Ismail4 (AUTHOR)
Source: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Mar2026, Vol. 106 Issue 3, p1-17. 17p.
Subjects: Reactive flow, Magnetohydrodynamics, Nanofluids, Numerical solutions to equations, Curved surfaces, Heat transfer fluids, Heat convection, Boundary layer (Aerodynamics)
Abstract: This study intends to elaborate the heat and mass transfer analysis of Prandtl nanofluid flow over a vertically heated curved surface together with MHD, thermal radiation, and chemical reaction effects. The boundary layer approximations developed the governing flow equations such as momentum, energy, and diffusion balance equations. The nonlinear system of PDEs is changed into nonlinear ordinary differential equations via proper transformations. By taking the assistance of the bvp4c algorithm, the numerical technique is imposed explicitly for attaining the dimensionless form of the fundamental equations. The nondimensional outcomes are apprehended here which rely on numerous physical constraints. The impression of these physical parameters on momentum and thermal boundary layers along with concentration outlines are discussed and demonstrated graphically. The impact of drag force, heat transfer coefficient, and mass flow rate are computed and presented through tables. [ABSTRACT FROM AUTHOR]
Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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: Numerical solution of chemically reactive and thermally radiative MHD Prandtl nanofluid over a curved surface with convective boundary conditions.
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  Data: <searchLink fieldCode="AR" term="%22Rasheed%2C+Haroon+Ur%22">Rasheed, Haroon Ur</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Islam%2C+Saeed%22">Islam, Saeed</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zeeshan%22">Zeeshan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> zeeshansuit@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Khan%2C+Jahangir%22">Khan, Jahangir</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Abbas%2C+Tariq%22">Abbas, Tariq</searchLink><relatesTo>3</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mohmand%2C+Muhammad+Ismail%22">Mohmand, Muhammad Ismail</searchLink><relatesTo>4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="DE" term="%22Reactive+flow%22">Reactive flow</searchLink><br /><searchLink fieldCode="DE" term="%22Magnetohydrodynamics%22">Magnetohydrodynamics</searchLink><br /><searchLink fieldCode="DE" term="%22Nanofluids%22">Nanofluids</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+solutions+to+equations%22">Numerical solutions to equations</searchLink><br /><searchLink fieldCode="DE" term="%22Curved+surfaces%22">Curved surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer+fluids%22">Heat transfer fluids</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+convection%22">Heat convection</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+layer+%28Aerodynamics%29%22">Boundary layer (Aerodynamics)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This study intends to elaborate the heat and mass transfer analysis of Prandtl nanofluid flow over a vertically heated curved surface together with MHD, thermal radiation, and chemical reaction effects. The boundary layer approximations developed the governing flow equations such as momentum, energy, and diffusion balance equations. The nonlinear system of PDEs is changed into nonlinear ordinary differential equations via proper transformations. By taking the assistance of the bvp4c algorithm, the numerical technique is imposed explicitly for attaining the dimensionless form of the fundamental equations. The nondimensional outcomes are apprehended here which rely on numerous physical constraints. The impression of these physical parameters on momentum and thermal boundary layers along with concentration outlines are discussed and demonstrated graphically. The impact of drag force, heat transfer coefficient, and mass flow rate are computed and presented through tables. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik is the property of Wiley-Blackwell 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:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/zamm.202100125
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 1
    Subjects:
      – SubjectFull: Reactive flow
        Type: general
      – SubjectFull: Magnetohydrodynamics
        Type: general
      – SubjectFull: Nanofluids
        Type: general
      – SubjectFull: Numerical solutions to equations
        Type: general
      – SubjectFull: Curved surfaces
        Type: general
      – SubjectFull: Heat transfer fluids
        Type: general
      – SubjectFull: Heat convection
        Type: general
      – SubjectFull: Boundary layer (Aerodynamics)
        Type: general
    Titles:
      – TitleFull: Numerical solution of chemically reactive and thermally radiative MHD Prandtl nanofluid over a curved surface with convective boundary conditions.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Rasheed, Haroon Ur
      – PersonEntity:
          Name:
            NameFull: Islam, Saeed
      – PersonEntity:
          Name:
            NameFull: Zeeshan
      – PersonEntity:
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            NameFull: Khan, Jahangir
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            NameFull: Abbas, Tariq
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          Name:
            NameFull: Mohmand, Muhammad Ismail
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          Dates:
            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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              Value: 00442267
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              Value: 106
            – Type: issue
              Value: 3
          Titles:
            – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
              Type: main
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