Semi‐Analytical Solution of Energy and Momentum Equations With Robin′s Boundary Conditions in a Microchannel Flow.
Saved in:
| Title: | Semi‐Analytical Solution of Energy and Momentum Equations With Robin′s Boundary Conditions in a Microchannel Flow. |
|---|---|
| Authors: | Fooladvand, Ali1 (AUTHOR), Nourazar, S. S.1 (AUTHOR) salman.nourazar@yahoo.com, Nazari-Golshan, A.2 (AUTHOR), Rabeti, Masoud3 (AUTHOR) masoud.rabeti@iau.ac.ir, Tiryakio?lu, Burhan (AUTHOR) burhan.tiryakioglu@marmara.edu.tr |
| Source: | Journal of Applied Mathematics. 7/13/2026, Vol. 2026, p1-14. 14p. |
| Subjects: | Microchannel flow, Fourier transforms, Heat transfer, Scientific method, Navier-Stokes equations, Analytical solutions, Neumann boundary conditions, Heat transfer coefficient |
| Abstract: | In this study, the nonlinear momentum and energy equations governing magnetohydrodynamic microchannel flow are solved under a Robin‐type slip boundary condition. To impose the mixed boundary conditions directly in the semi‐analytical construction, the Adomian decomposition method (ADM) is combined with the Fourier transform. The integration‐by‐parts operations in the Fourier domain make the boundary terms explicit and enable the Dirichlet, Neumann, and Robin‐type slip conditions to be incorporated into the recursive FTADM solution. The velocity and temperature solutions are validated against fourth‐order Runge–Kutta computations for the nonlinear magnetohydrodynamic Jeffery–Hamel microchannel formulation. The comparisons show excellent agreement, with maximum discrepancies of the order of 10−5 for the tested cases. The results further demonstrate the influence of the channel angle and Hartmann number on the velocity and heat‐transfer behavior while retaining a compact semi‐analytical representation of the solution. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Applied Mathematics 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.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 195313469 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Semi‐Analytical Solution of Energy and Momentum Equations With Robin′s Boundary Conditions in a Microchannel Flow. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fooladvand%2C+Ali%22">Fooladvand, Ali</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Nourazar%2C+S%2E+S%2E%22">Nourazar, S. S.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> salman.nourazar@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Nazari-Golshan%2C+A%2E%22">Nazari-Golshan, A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Rabeti%2C+Masoud%22">Rabeti, Masoud</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> masoud.rabeti@iau.ac.ir</i><br /><searchLink fieldCode="AR" term="%22Tiryakio%3Flu%2C+Burhan%22">Tiryakio?lu, Burhan</searchLink> (AUTHOR)<i> burhan.tiryakioglu@marmara.edu.tr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 7/13/2026, Vol. 2026, p1-14. 14p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Microchannel+flow%22">Microchannel flow</searchLink><br /><searchLink fieldCode="DE" term="%22Fourier+transforms%22">Fourier transforms</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer%22">Heat transfer</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Neumann+boundary+conditions%22">Neumann boundary conditions</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+transfer+coefficient%22">Heat transfer coefficient</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this study, the nonlinear momentum and energy equations governing magnetohydrodynamic microchannel flow are solved under a Robin‐type slip boundary condition. To impose the mixed boundary conditions directly in the semi‐analytical construction, the Adomian decomposition method (ADM) is combined with the Fourier transform. The integration‐by‐parts operations in the Fourier domain make the boundary terms explicit and enable the Dirichlet, Neumann, and Robin‐type slip conditions to be incorporated into the recursive FTADM solution. The velocity and temperature solutions are validated against fourth‐order Runge–Kutta computations for the nonlinear magnetohydrodynamic Jeffery–Hamel microchannel formulation. The comparisons show excellent agreement, with maximum discrepancies of the order of 10−5 for the tested cases. The results further demonstrate the influence of the channel angle and Hartmann number on the velocity and heat‐transfer behavior while retaining a compact semi‐analytical representation of the solution. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Applied Mathematics 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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=195313469 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1155/jama/1677092 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 14 StartPage: 1 Subjects: – SubjectFull: Microchannel flow Type: general – SubjectFull: Fourier transforms Type: general – SubjectFull: Heat transfer Type: general – SubjectFull: Scientific method Type: general – SubjectFull: Navier-Stokes equations Type: general – SubjectFull: Analytical solutions Type: general – SubjectFull: Neumann boundary conditions Type: general – SubjectFull: Heat transfer coefficient Type: general Titles: – TitleFull: Semi‐Analytical Solution of Energy and Momentum Equations With Robin′s Boundary Conditions in a Microchannel Flow. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fooladvand, Ali – PersonEntity: Name: NameFull: Nourazar, S. S. – PersonEntity: Name: NameFull: Nazari-Golshan, A. – PersonEntity: Name: NameFull: Rabeti, Masoud – PersonEntity: Name: NameFull: Tiryakio?lu, Burhan IsPartOfRelationships: – BibEntity: Dates: – D: 13 M: 07 Text: 7/13/2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 1110757X Numbering: – Type: volume Value: 2026 Titles: – TitleFull: Journal of Applied Mathematics Type: main |
| ResultId | 1 |
