Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics

This study reports Darcy-Forchheimer stagnated flow confined by elongating surface. Nanofluid dynamics is scrutinized through Brownian movement and thermophoresis. Flow formulation features non-Newtonian rate type (Maxwell) material. Transportation expressions (i.e., energy and concentration) are mo...

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Main Authors: M. Waqas, Muhammad Bilal Riaz, Rasan Sarbast Faisal, Zainab Abbas Abd Alhassan, Dakhil N. Taha
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/S2590123025013854
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author M. Waqas
Muhammad Bilal Riaz
Rasan Sarbast Faisal
Zainab Abbas Abd Alhassan
Dakhil N. Taha
author_facet M. Waqas
Muhammad Bilal Riaz
Rasan Sarbast Faisal
Zainab Abbas Abd Alhassan
Dakhil N. Taha
author_sort M. Waqas
collection DOAJ
description This study reports Darcy-Forchheimer stagnated flow confined by elongating surface. Nanofluid dynamics is scrutinized through Brownian movement and thermophoresis. Flow formulation features non-Newtonian rate type (Maxwell) material. Transportation expressions (i.e., energy and concentration) are modeled under varying conductivity, generalized heat-mass transference (i.e., Cattaneo-Christov (CC) dual diffusion theories) and varying diffusivity. The approach utilized in this investigation involves initially deriving the nonlinear PDEs (partial differential expressions) that govern the dynamics of flow along with heat-mass transference. Subsequently, these PDEs are transmuted into their corresponding ODEs (ordinary differential expressions) utilizing similarity variables. To compute these resulting ordinary differential expressions, a homotopic scheme is deployed. The solutions obtained for these ordinary differential expressions impart insights into deviations in non-dimensional quantities. These outcomes are visually represented through graphs and subjected to an inclusive analysis. The analytical outcomes are authenticated with a previously available limiting case and found exceptional agreement, confirming the precision and consistency of deployed analytic scheme. It is noticed that escalating relaxation-time factors yield a decay in temperature along with nano-particles concentration while opposite characteristics are reported for varying conductivity and diffusivity factors.
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issn 2590-1230
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publishDate 2025-06-01
publisher Elsevier
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series Results in Engineering
spelling doaj-art-649651882cc4404cb1071dd06d5bf85e2025-08-20T03:05:42ZengElsevierResults in Engineering2590-12302025-06-012610531510.1016/j.rineng.2025.105315Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristicsM. Waqas0Muhammad Bilal Riaz1Rasan Sarbast Faisal2Zainab Abbas Abd Alhassan3Dakhil N. Taha4NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan; Corresponding author.IT4Innovations, VSB-Technical University of Ostrava, Ostrava, Czech RepublicDepartment of Petroleum Engineering, College of Engineering, Knowledge University, Erbil 44001, Iraq; Department of Petroleum Engineering, Al-Kitab University, Altun Kupri, IraqMazaya University College, Dhiqar, IraqLaboratories Techniques Department, College of Health and Medical Techniques, Al-Mustaqbal University, 51001 Babylon, IraqThis study reports Darcy-Forchheimer stagnated flow confined by elongating surface. Nanofluid dynamics is scrutinized through Brownian movement and thermophoresis. Flow formulation features non-Newtonian rate type (Maxwell) material. Transportation expressions (i.e., energy and concentration) are modeled under varying conductivity, generalized heat-mass transference (i.e., Cattaneo-Christov (CC) dual diffusion theories) and varying diffusivity. The approach utilized in this investigation involves initially deriving the nonlinear PDEs (partial differential expressions) that govern the dynamics of flow along with heat-mass transference. Subsequently, these PDEs are transmuted into their corresponding ODEs (ordinary differential expressions) utilizing similarity variables. To compute these resulting ordinary differential expressions, a homotopic scheme is deployed. The solutions obtained for these ordinary differential expressions impart insights into deviations in non-dimensional quantities. These outcomes are visually represented through graphs and subjected to an inclusive analysis. The analytical outcomes are authenticated with a previously available limiting case and found exceptional agreement, confirming the precision and consistency of deployed analytic scheme. It is noticed that escalating relaxation-time factors yield a decay in temperature along with nano-particles concentration while opposite characteristics are reported for varying conductivity and diffusivity factors.http://www.sciencedirect.com/science/article/pii/S2590123025013854NanofluidGeneralized heat-mass transferenceMaxwell modelMoving surfaceHomotopy scheme
spellingShingle M. Waqas
Muhammad Bilal Riaz
Rasan Sarbast Faisal
Zainab Abbas Abd Alhassan
Dakhil N. Taha
Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
Results in Engineering
Nanofluid
Generalized heat-mass transference
Maxwell model
Moving surface
Homotopy scheme
title Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
title_full Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
title_fullStr Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
title_full_unstemmed Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
title_short Nanofluid induced non-Fourier thermal and non-Fickian solutal transport in viscoelastic nanomaterial with variable characteristics
title_sort nanofluid induced non fourier thermal and non fickian solutal transport in viscoelastic nanomaterial with variable characteristics
topic Nanofluid
Generalized heat-mass transference
Maxwell model
Moving surface
Homotopy scheme
url http://www.sciencedirect.com/science/article/pii/S2590123025013854
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AT rasansarbastfaisal nanofluidinducednonfourierthermalandnonfickiansolutaltransportinviscoelasticnanomaterialwithvariablecharacteristics
AT zainababbasabdalhassan nanofluidinducednonfourierthermalandnonfickiansolutaltransportinviscoelasticnanomaterialwithvariablecharacteristics
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