Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature
Forced convection in Newtonian and non-Newtonian fluids flowing through pipes maintained at uniform heat flux or uniform wall temperature are important for understanding heat transfer characteristics in design and thermal management of heat exchangers. Convective heat transfer in both Newtonian and...
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Elsevier
2024-11-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724002957 |
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| author | Sumanta Chaudhuri Rajiva Lochan Mohanty Paromita Chakraborty Vijay Kumar Mishra |
| author_facet | Sumanta Chaudhuri Rajiva Lochan Mohanty Paromita Chakraborty Vijay Kumar Mishra |
| author_sort | Sumanta Chaudhuri |
| collection | DOAJ |
| description | Forced convection in Newtonian and non-Newtonian fluids flowing through pipes maintained at uniform heat flux or uniform wall temperature are important for understanding heat transfer characteristics in design and thermal management of heat exchangers. Convective heat transfer in both Newtonian and non-Newtonian fluids flowing through pipes and parallel plates, subjected to uniform wall heat flux condition, were extensively studied by researchers. But for uniform wall temperature, studies on non-Newtonian fluids in pipes are rarely considered. Forced convective heating and cooling of a third-grade fluid, flowing in a pipe subjected to uniform (constant) wall temperature is considered. Effect of viscous dissipation is included in the energy equation. Separate energy conservation equations for heating and cooling are formulated and their dimensionless forms are obtained. Numerical solutions by shooting technique are obtained for the governing equations. The same equations are also solved by the least square method and semi-analytical solutions are yielded. Least square method is a widely used semi-analytical tool used for solving non-linear differential equations. Results of the numerical solution and semi-analytical solutions are compared and are observed to be in close agreement. This validates the numerical solution. Few important observations are presented. For heating, when the non-Newtonian parameter increases from 0 – 0.1, the peak temperature drops from 1.15 – 0.55 which occurs at the centre. In case of cooling, when non-Newtonian parameter increases from 0 – 0.1, the difference in central line temperature and wall temperature increases to 0.17 from 0.09. For change in the non-Newtonian parameter from 0.2 – 0.3, both for heating and cooling the peak temperature change is not drastic. Heat transfer coefficient, in case of heating, differs by nearly 3.5 when the non-Newtonian parameter increases from 0 – 0.1. |
| format | Article |
| id | doaj-art-c8b7c18dd0b54b0b99a481f7949f0645 |
| institution | OA Journals |
| issn | 2666-2027 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-c8b7c18dd0b54b0b99a481f7949f06452025-08-20T02:38:23ZengElsevierInternational Journal of Thermofluids2666-20272024-11-012410085410.1016/j.ijft.2024.100854Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperatureSumanta Chaudhuri0Rajiva Lochan Mohanty1Paromita Chakraborty2Vijay Kumar Mishra3School of Mechanical Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha 751024, IndiaSchool of Mechanical Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha 751024, India; Corrsponding author at: Rajiva Lochan Mohanty, Assistant Professor (II), School of Mechanical Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha 751024, India.School of Civil Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha 751024, IndiaSchool of Mechanical Engineering, Kalinga Institute of Industrial Technology, Bhubaneswar, Odisha 751024, IndiaForced convection in Newtonian and non-Newtonian fluids flowing through pipes maintained at uniform heat flux or uniform wall temperature are important for understanding heat transfer characteristics in design and thermal management of heat exchangers. Convective heat transfer in both Newtonian and non-Newtonian fluids flowing through pipes and parallel plates, subjected to uniform wall heat flux condition, were extensively studied by researchers. But for uniform wall temperature, studies on non-Newtonian fluids in pipes are rarely considered. Forced convective heating and cooling of a third-grade fluid, flowing in a pipe subjected to uniform (constant) wall temperature is considered. Effect of viscous dissipation is included in the energy equation. Separate energy conservation equations for heating and cooling are formulated and their dimensionless forms are obtained. Numerical solutions by shooting technique are obtained for the governing equations. The same equations are also solved by the least square method and semi-analytical solutions are yielded. Least square method is a widely used semi-analytical tool used for solving non-linear differential equations. Results of the numerical solution and semi-analytical solutions are compared and are observed to be in close agreement. This validates the numerical solution. Few important observations are presented. For heating, when the non-Newtonian parameter increases from 0 – 0.1, the peak temperature drops from 1.15 – 0.55 which occurs at the centre. In case of cooling, when non-Newtonian parameter increases from 0 – 0.1, the difference in central line temperature and wall temperature increases to 0.17 from 0.09. For change in the non-Newtonian parameter from 0.2 – 0.3, both for heating and cooling the peak temperature change is not drastic. Heat transfer coefficient, in case of heating, differs by nearly 3.5 when the non-Newtonian parameter increases from 0 – 0.1.http://www.sciencedirect.com/science/article/pii/S2666202724002957Grade three fluidUniform surface temperatureViscous dissipationNusselt numberPipe flowNon-newtonian fluids |
| spellingShingle | Sumanta Chaudhuri Rajiva Lochan Mohanty Paromita Chakraborty Vijay Kumar Mishra Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature International Journal of Thermofluids Grade three fluid Uniform surface temperature Viscous dissipation Nusselt number Pipe flow Non-newtonian fluids |
| title | Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| title_full | Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| title_fullStr | Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| title_full_unstemmed | Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| title_short | Effect of viscous dissipation in heating/cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| title_sort | effect of viscous dissipation in heating cooling of grade three fluid in a pipe subjected to uniform surface temperature |
| topic | Grade three fluid Uniform surface temperature Viscous dissipation Nusselt number Pipe flow Non-newtonian fluids |
| url | http://www.sciencedirect.com/science/article/pii/S2666202724002957 |
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