Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects
In this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined influence of magnetic field and Hall current. The non-linear governing differential...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2015-11-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/17/11/7811 |
| _version_ | 1798024233645768704 |
|---|---|
| author | Oluwole D. Makinde Adetayo S. Eegunjobi M. Samuel Tshehla |
| author_facet | Oluwole D. Makinde Adetayo S. Eegunjobi M. Samuel Tshehla |
| author_sort | Oluwole D. Makinde |
| collection | DOAJ |
| description | In this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined influence of magnetic field and Hall current. The non-linear governing differential equations are obtained and solved numerically using shooting method coupled with fourth order Runge–Kutta–Fehlberg integration technique. Numerical results obtained for velocities and temperature profiles are utilized to determine the entropy generation rate, skin fictions, Nusselt number and the Bejan number. By plotting the graphs of various values of thermophysical parameters, the features of the flow characteristics are analyzed in detail. It is found that fluid rotation increases the dominant effect of heat transfer irreversibility at the upper moving plate region while the entropy production is more at the lower fixed plate region. |
| first_indexed | 2024-04-11T17:59:06Z |
| format | Article |
| id | doaj.art-d0a35c2cea884bddbf1c5bc9e187e73d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T17:59:06Z |
| publishDate | 2015-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d0a35c2cea884bddbf1c5bc9e187e73d2022-12-22T04:10:34ZengMDPI AGEntropy1099-43002015-11-0117117811782610.3390/e17117811e17117811Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall EffectsOluwole D. Makinde0Adetayo S. Eegunjobi1M. Samuel Tshehla2Faculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South AfricaDepartment of Mathematics and Statistics, Namibia University of Science and Technology, Private Bag 13388, 13 Storch street, Windhoek, NamibiaFaculty of Military Science, Stellenbosch University, Private Bag X2, Saldanha 7395, South AfricaIn this paper, we employed both first and second laws of thermodynamics to analyze the flow and thermal decomposition in a variable viscosity Couette flow of a conducting fluid in a rotating system under the combined influence of magnetic field and Hall current. The non-linear governing differential equations are obtained and solved numerically using shooting method coupled with fourth order Runge–Kutta–Fehlberg integration technique. Numerical results obtained for velocities and temperature profiles are utilized to determine the entropy generation rate, skin fictions, Nusselt number and the Bejan number. By plotting the graphs of various values of thermophysical parameters, the features of the flow characteristics are analyzed in detail. It is found that fluid rotation increases the dominant effect of heat transfer irreversibility at the upper moving plate region while the entropy production is more at the lower fixed plate region.http://www.mdpi.com/1099-4300/17/11/7811MHD couette flowrotating systemvariable viscosityHall effectsentropy analysis |
| spellingShingle | Oluwole D. Makinde Adetayo S. Eegunjobi M. Samuel Tshehla Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects Entropy MHD couette flow rotating system variable viscosity Hall effects entropy analysis |
| title | Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects |
| title_full | Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects |
| title_fullStr | Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects |
| title_full_unstemmed | Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects |
| title_short | Thermodynamics Analysis of Variable Viscosity Hydromagnetic Couette Flow in a Rotating System with Hall Effects |
| title_sort | thermodynamics analysis of variable viscosity hydromagnetic couette flow in a rotating system with hall effects |
| topic | MHD couette flow rotating system variable viscosity Hall effects entropy analysis |
| url | http://www.mdpi.com/1099-4300/17/11/7811 |
| work_keys_str_mv | AT oluwoledmakinde thermodynamicsanalysisofvariableviscosityhydromagneticcouetteflowinarotatingsystemwithhalleffects AT adetayoseegunjobi thermodynamicsanalysisofvariableviscosityhydromagneticcouetteflowinarotatingsystemwithhalleffects AT msamueltshehla thermodynamicsanalysisofvariableviscosityhydromagneticcouetteflowinarotatingsystemwithhalleffects |