Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform

This work focuses on the impact of a magnetic field and viscous dissipation on the mixed convective flow of a couple stress nanofluid over a sheet that is stretching linearly. The research focuses on how these variables impact the model’s overall heat transfer characteristics and the fluid’s behavio...

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Main Authors: Khader Mohamed M., Adel Mohamed, Messaoudi Mohamed
Format: Article
Language:English
Published: De Gruyter 2025-08-01
Series:Open Physics
Subjects:
Online Access:https://doi.org/10.1515/phys-2025-0195
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author Khader Mohamed M.
Adel Mohamed
Messaoudi Mohamed
author_facet Khader Mohamed M.
Adel Mohamed
Messaoudi Mohamed
author_sort Khader Mohamed M.
collection DOAJ
description This work focuses on the impact of a magnetic field and viscous dissipation on the mixed convective flow of a couple stress nanofluid over a sheet that is stretching linearly. The research focuses on how these variables impact the model’s overall heat transfer characteristics and the fluid’s behavior. The sheet’s stretching causes the fluid to move as it extends, which is what causes the flow. When considering a heating procedure at the prescribed surface temperature, the heat transmission problem has been examined. The modified Adomian decomposition method (ADM) is a computational method that simplifies the complex governing equations of the model under study and finds their numerical solutions. This technique uses the Mohand transform in conjunction with the ADM, which ensures a high degree of convergence, producing a series solution that closely resembles the exact solution to the problem. In addition, we evaluate the residual error function to satisfy the effectiveness and accuracy of the introduced technique. When the current findings were compared with other methods for particular flow scenarios, they demonstrated strong agreement, confirming the accuracy of the solution. A complete examination of the effects of the different parameters has been provided, including graphic and tabular illustrations of the effects. Additionally, a comparison chart illustrating the agreement between the two sets of data has been given to show the coherence between the present numerical outcomes and previously published findings.
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spelling doaj-art-68e571918ba4497b8f3fea8ce60bdb1e2025-08-20T03:46:52ZengDe GruyterOpen Physics2391-54712025-08-012317334010.1515/phys-2025-0195Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transformKhader Mohamed M.0Adel Mohamed1Messaoudi Mohamed2Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi ArabiaThis work focuses on the impact of a magnetic field and viscous dissipation on the mixed convective flow of a couple stress nanofluid over a sheet that is stretching linearly. The research focuses on how these variables impact the model’s overall heat transfer characteristics and the fluid’s behavior. The sheet’s stretching causes the fluid to move as it extends, which is what causes the flow. When considering a heating procedure at the prescribed surface temperature, the heat transmission problem has been examined. The modified Adomian decomposition method (ADM) is a computational method that simplifies the complex governing equations of the model under study and finds their numerical solutions. This technique uses the Mohand transform in conjunction with the ADM, which ensures a high degree of convergence, producing a series solution that closely resembles the exact solution to the problem. In addition, we evaluate the residual error function to satisfy the effectiveness and accuracy of the introduced technique. When the current findings were compared with other methods for particular flow scenarios, they demonstrated strong agreement, confirming the accuracy of the solution. A complete examination of the effects of the different parameters has been provided, including graphic and tabular illustrations of the effects. Additionally, a comparison chart illustrating the agreement between the two sets of data has been given to show the coherence between the present numerical outcomes and previously published findings.https://doi.org/10.1515/phys-2025-0195couple stress nanofluidmixed convectionmhdviscous dissipationadmmtresidual error function
spellingShingle Khader Mohamed M.
Adel Mohamed
Messaoudi Mohamed
Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
Open Physics
couple stress nanofluid
mixed convection
mhd
viscous dissipation
adm
mt
residual error function
title Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
title_full Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
title_fullStr Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
title_full_unstemmed Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
title_short Numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow: A merged Adomian decomposition method and Mohand transform
title_sort numerical investigation of mixed convection and viscous dissipation in couple stress nanofluid flow a merged adomian decomposition method and mohand transform
topic couple stress nanofluid
mixed convection
mhd
viscous dissipation
adm
mt
residual error function
url https://doi.org/10.1515/phys-2025-0195
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AT adelmohamed numericalinvestigationofmixedconvectionandviscousdissipationincouplestressnanofluidflowamergedadomiandecompositionmethodandmohandtransform
AT messaoudimohamed numericalinvestigationofmixedconvectionandviscousdissipationincouplestressnanofluidflowamergedadomiandecompositionmethodandmohandtransform