Analysis of fluid flow in curved pipes using homotopy analysis method.
Saved in:
| Title: | Analysis of fluid flow in curved pipes using homotopy analysis method. |
|---|---|
| Authors: | Wajpe, Antara1 (AUTHOR) wa22mar1r01@student.nitw.ac.in, Poosan, Muthu1 (AUTHOR) |
| Source: | ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. Aug2025, Vol. 105 Issue 8, p1-16. 16p. |
| Subjects: | Fluid flow, Curvilinear coordinates, Dimensionless numbers, Scientific method, Pipe bending, Nonlinear analysis, Viscous flow |
| Abstract: | The study of fluid flow in curved pipes is becoming more popular among researchers due to its broad spectrum of applications in engineering and industries. Driven by this motivation, this paper focuses on the semi‐analytical study of the flow of viscous and incompressible fluid in slightly curved pipes. Employing the toroidal coordinate system, the nonlinear governing equations are solved with the help of the homotopy analysis method (HAM). Stream function and axial velocity of the flow are calculated using HAM. Solution is computed up to 18th order of approximation, and its convergence is studied. Volumetric flow rate and streamlines patterns are investigated. The findings imply that the HAM provides significantly accurate solutions. The impacts of Dean's number K$K$ on the axial velocity, stream function, volumetric flow rate, and streamlines are studied through graphs. These impacts are primarily driven by the centrifugal force induced by the pipe curvature. The volumetric flow rate in a curved pipe is reduced compared to that in a straight pipe by approximately 1.91% at higher values of the K$K$, due to the influence of curvature on the fluid flow. The obtained results are validated with the earlier findings and are in good agreement, demonstrating the efficiency of HAM. It is inferred that HAM can be applied to address more intricate problems involving fluid flow through curved pipes. [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.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 187575386 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Analysis of fluid flow in curved pipes using homotopy analysis method. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wajpe%2C+Antara%22">Wajpe, Antara</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> wa22mar1r01@student.nitw.ac.in</i><br /><searchLink fieldCode="AR" term="%22Poosan%2C+Muthu%22">Poosan, Muthu</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22ZAMM+--+Journal+of+Applied+Mathematics+%26+Mechanics+%2F+Zeitschrift+für+Angewandte+Mathematik+und+Mechanik%22">ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik</searchLink>. Aug2025, Vol. 105 Issue 8, p1-16. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fluid+flow%22">Fluid flow</searchLink><br /><searchLink fieldCode="DE" term="%22Curvilinear+coordinates%22">Curvilinear coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensionless+numbers%22">Dimensionless numbers</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Pipe+bending%22">Pipe bending</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+analysis%22">Nonlinear analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Viscous+flow%22">Viscous flow</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The study of fluid flow in curved pipes is becoming more popular among researchers due to its broad spectrum of applications in engineering and industries. Driven by this motivation, this paper focuses on the semi‐analytical study of the flow of viscous and incompressible fluid in slightly curved pipes. Employing the toroidal coordinate system, the nonlinear governing equations are solved with the help of the homotopy analysis method (HAM). Stream function and axial velocity of the flow are calculated using HAM. Solution is computed up to 18th order of approximation, and its convergence is studied. Volumetric flow rate and streamlines patterns are investigated. The findings imply that the HAM provides significantly accurate solutions. The impacts of Dean's number K$K$ on the axial velocity, stream function, volumetric flow rate, and streamlines are studied through graphs. These impacts are primarily driven by the centrifugal force induced by the pipe curvature. The volumetric flow rate in a curved pipe is reduced compared to that in a straight pipe by approximately 1.91% at higher values of the K$K$, due to the influence of curvature on the fluid flow. The obtained results are validated with the earlier findings and are in good agreement, demonstrating the efficiency of HAM. It is inferred that HAM can be applied to address more intricate problems involving fluid flow through curved pipes. [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.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=187575386 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1002/zamm.70165 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 1 Subjects: – SubjectFull: Fluid flow Type: general – SubjectFull: Curvilinear coordinates Type: general – SubjectFull: Dimensionless numbers Type: general – SubjectFull: Scientific method Type: general – SubjectFull: Pipe bending Type: general – SubjectFull: Nonlinear analysis Type: general – SubjectFull: Viscous flow Type: general Titles: – TitleFull: Analysis of fluid flow in curved pipes using homotopy analysis method. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wajpe, Antara – PersonEntity: Name: NameFull: Poosan, Muthu IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 00442267 Numbering: – Type: volume Value: 105 – Type: issue Value: 8 Titles: – TitleFull: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik Type: main |
| ResultId | 1 |
