Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties

This study focuses on the thermo-fluid dynamics of non-Newtonian Casson fluid within a porous channel with expanding and contracting walls, a configuration of significant relevance in industrial applications like cooling systems and biomedical processes such as biofluid transport. The investigation...

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Main Authors: Shahid Rafiq, Babar Ahmad Bilal, Aysha Afzal, Jagadish V. Tawade, Nitiraj V. Kulkarni, Barno Abdullaeva, Taoufik Saidani, Manish Gupta
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818125000336
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author Shahid Rafiq
Babar Ahmad Bilal
Aysha Afzal
Jagadish V. Tawade
Nitiraj V. Kulkarni
Barno Abdullaeva
Taoufik Saidani
Manish Gupta
author_facet Shahid Rafiq
Babar Ahmad Bilal
Aysha Afzal
Jagadish V. Tawade
Nitiraj V. Kulkarni
Barno Abdullaeva
Taoufik Saidani
Manish Gupta
author_sort Shahid Rafiq
collection DOAJ
description This study focuses on the thermo-fluid dynamics of non-Newtonian Casson fluid within a porous channel with expanding and contracting walls, a configuration of significant relevance in industrial applications like cooling systems and biomedical processes such as biofluid transport. The investigation accounts for critical factors such as Joule heating, thermal radiation, porosity, and the temperature dependence of viscosity and thermal conductivity. The governing equations are reduced to ordinary differential equations using similarity transformations and solved with the Least Square Method (LSM). The findings reveal that the Hartmann number and Eckert number strongly influence velocity and temperature profiles. Thermal radiation elevates the core fluid temperature while heat sinks reduce it near the channel walls. Viscosity models demonstrate notable effects on flow resistance and heat transfer. The findings will provide significant applications requiring efficient thermal management and precise control of fluid dynamics, making the results valuable for engineering and biomedical advancements.
format Article
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institution Kabale University
issn 2666-8181
language English
publishDate 2025-03-01
publisher Elsevier
record_format Article
series Partial Differential Equations in Applied Mathematics
spelling doaj-art-541b9280f8434ec18aaab940a0fbabc72025-02-07T04:48:26ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101105Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal propertiesShahid Rafiq0Babar Ahmad Bilal1Aysha Afzal2Jagadish V. Tawade3Nitiraj V. Kulkarni4Barno Abdullaeva5Taoufik Saidani6Manish Gupta7Department of Mathematics, Govt. Sadiq Egerton Graduate College, Bahawalpur 63100, PakistanDepartment of Mathematics and Statistics, Institute of Southern Punjab Multan, PakistanDepartment of Mathematics, National college of Business administration and Economics, sub campus Bahawalpur, PakistanDepartment of Mathematics, Vishwakarma University, Pune 411048, India; Corresponding authors.Department of Mathematics, Vishwakarma University, Pune 411048, IndiaDepartment of Mathematics and Information Technologies, Vice-Rector for Scientific Affairs, Tashkent State Pedagogical University, Tashkent, UzbekistanCenter for Scientific Research and Entrepreneurship, Northern Border University, 73213, Arar, Saudi Arabia; Corresponding authors.Division of Research and Development, Lovely Professional University, Phagwara, IndiaThis study focuses on the thermo-fluid dynamics of non-Newtonian Casson fluid within a porous channel with expanding and contracting walls, a configuration of significant relevance in industrial applications like cooling systems and biomedical processes such as biofluid transport. The investigation accounts for critical factors such as Joule heating, thermal radiation, porosity, and the temperature dependence of viscosity and thermal conductivity. The governing equations are reduced to ordinary differential equations using similarity transformations and solved with the Least Square Method (LSM). The findings reveal that the Hartmann number and Eckert number strongly influence velocity and temperature profiles. Thermal radiation elevates the core fluid temperature while heat sinks reduce it near the channel walls. Viscosity models demonstrate notable effects on flow resistance and heat transfer. The findings will provide significant applications requiring efficient thermal management and precise control of fluid dynamics, making the results valuable for engineering and biomedical advancements.http://www.sciencedirect.com/science/article/pii/S2666818125000336Asymmetric flowNon-newtonian fluidTemperature-dependent viscosityVariable thermal conductivityLeast square methodJoule heating
spellingShingle Shahid Rafiq
Babar Ahmad Bilal
Aysha Afzal
Jagadish V. Tawade
Nitiraj V. Kulkarni
Barno Abdullaeva
Taoufik Saidani
Manish Gupta
Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
Partial Differential Equations in Applied Mathematics
Asymmetric flow
Non-newtonian fluid
Temperature-dependent viscosity
Variable thermal conductivity
Least square method
Joule heating
title Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
title_full Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
title_fullStr Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
title_full_unstemmed Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
title_short Thermo-fluid dynamics of non-newtonian casson fluid in expanding-contracting channels with joule heating and variable thermal properties
title_sort thermo fluid dynamics of non newtonian casson fluid in expanding contracting channels with joule heating and variable thermal properties
topic Asymmetric flow
Non-newtonian fluid
Temperature-dependent viscosity
Variable thermal conductivity
Least square method
Joule heating
url http://www.sciencedirect.com/science/article/pii/S2666818125000336
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