MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach

The current novel study focuses on the two-dimensional magnetohydrodynamic flow of fractional Maxwell nanofluid through porous conical geometry under convective boundary conditions. The nanofluids considered for the study are suspensions of single and multi-walled carbon nanotubes with blood as the...

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Main Authors: D.S. Swetha, K.R. Madhura, Babitha, Irfan Anjum Badruddin, Sarfaraz Kamangar, Abdul Azeem Khan
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025009284
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author D.S. Swetha
K.R. Madhura
Babitha
Irfan Anjum Badruddin
Sarfaraz Kamangar
Abdul Azeem Khan
author_facet D.S. Swetha
K.R. Madhura
Babitha
Irfan Anjum Badruddin
Sarfaraz Kamangar
Abdul Azeem Khan
author_sort D.S. Swetha
collection DOAJ
description The current novel study focuses on the two-dimensional magnetohydrodynamic flow of fractional Maxwell nanofluid through porous conical geometry under convective boundary conditions. The nanofluids considered for the study are suspensions of single and multi-walled carbon nanotubes with blood as the base fluid. Fractional-ordered governing equations are transfigured into non-dimensional forms using appropriate transformations. The finite difference approximations are obtained by discretizing the momentum and energy profiles. The results of both profile are plotted against various physical flow-pertaining parameters. It is evident, that multi-walled carbon nanotubes consistently show higher velocity profiles and lower temperature phases than single-walled carbon nanotubes nanofluid across all embedded parameters. Further, the study revealed that the absence of magnetic parameter improves by 11.36% of velocity distribution and the presence of heat source parameter improves by 18.37% of temperature distribution. This framing highlights the convergence criterion of the findings with previous work, emphasizing both reliability and accuracy within the range of 10−4 to 10−6. Graphical representation concludes that the model involving the fractional technique is superior to the integer one. Thus, achievement demonstrates practical application potential in optimizing the efficiency of fluid heating and cooling processes, underscoring its importance in thermal management.
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publishDate 2025-06-01
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spelling doaj-art-e5a7425d0d23455abd7f827218d4f2e52025-08-20T03:10:18ZengElsevierResults in Engineering2590-12302025-06-012610485310.1016/j.rineng.2025.104853MHD Maxwell nanofluid flow over a porous conical surface: A fractional approachD.S. Swetha0K.R. Madhura1 Babitha2Irfan Anjum Badruddin3Sarfaraz Kamangar4Abdul Azeem Khan5Department of Mathematics, PES University, Bangalore-560085, Karnataka, India; Corresponding author.Post Graduate Department of Mathematics, The National College, Jayanagar, Bangalore-560070, Karnataka, India; Trans - Disciplinary Research Centre, National Degree College, Basavanagudi, India; The Florida International University, USADepartment of Mathematics, CHRIST University, Bangalore-560029, Karnataka, IndiaMechanical Engineering Department, College of Engineering, King Khalid University, Abha-61421, Saudi ArabiaMechanical Engineering Department, College of Engineering, King Khalid University, Abha-61421, Saudi ArabiaFaculty of Islamic Technology, University Islam Sultan Sharif Ali, Negara, Brunei DarussalamThe current novel study focuses on the two-dimensional magnetohydrodynamic flow of fractional Maxwell nanofluid through porous conical geometry under convective boundary conditions. The nanofluids considered for the study are suspensions of single and multi-walled carbon nanotubes with blood as the base fluid. Fractional-ordered governing equations are transfigured into non-dimensional forms using appropriate transformations. The finite difference approximations are obtained by discretizing the momentum and energy profiles. The results of both profile are plotted against various physical flow-pertaining parameters. It is evident, that multi-walled carbon nanotubes consistently show higher velocity profiles and lower temperature phases than single-walled carbon nanotubes nanofluid across all embedded parameters. Further, the study revealed that the absence of magnetic parameter improves by 11.36% of velocity distribution and the presence of heat source parameter improves by 18.37% of temperature distribution. This framing highlights the convergence criterion of the findings with previous work, emphasizing both reliability and accuracy within the range of 10−4 to 10−6. Graphical representation concludes that the model involving the fractional technique is superior to the integer one. Thus, achievement demonstrates practical application potential in optimizing the efficiency of fluid heating and cooling processes, underscoring its importance in thermal management.http://www.sciencedirect.com/science/article/pii/S2590123025009284Fractional modelFinite difference methodMaxwell nanofluidRelaxation times
spellingShingle D.S. Swetha
K.R. Madhura
Babitha
Irfan Anjum Badruddin
Sarfaraz Kamangar
Abdul Azeem Khan
MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
Results in Engineering
Fractional model
Finite difference method
Maxwell nanofluid
Relaxation times
title MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
title_full MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
title_fullStr MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
title_full_unstemmed MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
title_short MHD Maxwell nanofluid flow over a porous conical surface: A fractional approach
title_sort mhd maxwell nanofluid flow over a porous conical surface a fractional approach
topic Fractional model
Finite difference method
Maxwell nanofluid
Relaxation times
url http://www.sciencedirect.com/science/article/pii/S2590123025009284
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