Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels
The foremost focus of this article was to investigate the entropy generation in hydromagnetic flow of generalized Newtonian Carreau nanofluid through a converging and diverging channel. In addition, a heat transport analysis was performed for Carreau nanofluid using the Buongiorno model in the prese...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Micromachines |
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| Online Access: | https://www.mdpi.com/2072-666X/13/10/1755 |
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| author | Sohail Rehman Hashim Abdelaziz Nasr Sayed M. Eldin Muhammad Y. Malik |
| author_facet | Sohail Rehman Hashim Abdelaziz Nasr Sayed M. Eldin Muhammad Y. Malik |
| author_sort | Sohail Rehman |
| collection | DOAJ |
| description | The foremost focus of this article was to investigate the entropy generation in hydromagnetic flow of generalized Newtonian Carreau nanofluid through a converging and diverging channel. In addition, a heat transport analysis was performed for Carreau nanofluid using the Buongiorno model in the presence of viscous dissipation and Joule heating. The second law of thermodynamics was employed to model the governing flow transport along with entropy generation arising within the system. Entropy optimization analysis is accentuated as its minimization is the best measure to enhance the efficiency of thermal systems. This irreversibility computation and optimization were carried out in the dimensional form to obtain a better picture of the system’s entropy generation. With the help of proper dimensionless transformations, the modeled flow equations were converted into a system of non-linear ordinary differential equations. The numerical solutions were derived using an efficient numerical method, the Runge–Kutta Fehlberg method in conjunction with the shooting technique. The computed results were presented graphically through different profiles of velocity, temperature, concentration, entropy production, and Bejan number. From the acquired results, we perceive that entropy generation is augmented with higher Brinkman and Reynolds numbers. It is significant to mention that the system’s entropy production grew near its two walls, where the irreversibility of heat transfer predominates, in contrast to the channel’s center, where the irreversibility of frictional force predominates. These results serve as a valuable guide for designing and optimizing channels with diverging–converging profiles required in several heat-transfer applications. |
| first_indexed | 2024-03-09T19:46:07Z |
| format | Article |
| id | doaj.art-2b730991d89a4e9cbf3ed8dc53db30a2 |
| institution | Directory Open Access Journal |
| issn | 2072-666X |
| language | English |
| last_indexed | 2024-03-09T19:46:07Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Micromachines |
| spelling | doaj.art-2b730991d89a4e9cbf3ed8dc53db30a22023-11-24T01:23:57ZengMDPI AGMicromachines2072-666X2022-10-011310175510.3390/mi13101755Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging ChannelsSohail Rehman0Hashim1Abdelaziz Nasr2Sayed M. Eldin3Muhammad Y. Malik4School of Material Sciences and Engineering, Georgia Institute of Technology, Atlanta, GA 30318, USADepartment of Mathematics and Statistics, University of Haripur, Haripur 22600, PakistanMechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi ArabiaCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo 11835, EgyptDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaThe foremost focus of this article was to investigate the entropy generation in hydromagnetic flow of generalized Newtonian Carreau nanofluid through a converging and diverging channel. In addition, a heat transport analysis was performed for Carreau nanofluid using the Buongiorno model in the presence of viscous dissipation and Joule heating. The second law of thermodynamics was employed to model the governing flow transport along with entropy generation arising within the system. Entropy optimization analysis is accentuated as its minimization is the best measure to enhance the efficiency of thermal systems. This irreversibility computation and optimization were carried out in the dimensional form to obtain a better picture of the system’s entropy generation. With the help of proper dimensionless transformations, the modeled flow equations were converted into a system of non-linear ordinary differential equations. The numerical solutions were derived using an efficient numerical method, the Runge–Kutta Fehlberg method in conjunction with the shooting technique. The computed results were presented graphically through different profiles of velocity, temperature, concentration, entropy production, and Bejan number. From the acquired results, we perceive that entropy generation is augmented with higher Brinkman and Reynolds numbers. It is significant to mention that the system’s entropy production grew near its two walls, where the irreversibility of heat transfer predominates, in contrast to the channel’s center, where the irreversibility of frictional force predominates. These results serve as a valuable guide for designing and optimizing channels with diverging–converging profiles required in several heat-transfer applications.https://www.mdpi.com/2072-666X/13/10/1755entropyconverging/diverging channelmagnetic fieldheat transportCarreau nanofluid |
| spellingShingle | Sohail Rehman Hashim Abdelaziz Nasr Sayed M. Eldin Muhammad Y. Malik Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels Micromachines entropy converging/diverging channel magnetic field heat transport Carreau nanofluid |
| title | Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels |
| title_full | Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels |
| title_fullStr | Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels |
| title_full_unstemmed | Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels |
| title_short | Entropy Minimization for Generalized Newtonian Fluid Flow between Converging and Diverging Channels |
| title_sort | entropy minimization for generalized newtonian fluid flow between converging and diverging channels |
| topic | entropy converging/diverging channel magnetic field heat transport Carreau nanofluid |
| url | https://www.mdpi.com/2072-666X/13/10/1755 |
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