A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet
The objective of this paper is to examine the flow of a non-Newtonian Maxwell fluid induced by a permeable stretching sheet in motion within a porous medium. The research incorporates the Cattaneo-Christov heat flux model to study the heat transfer process. The utilization of the Cattaneo-Christov h...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844023099486 |
| _version_ | 1797383955074252800 |
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| author | Sara I. Abdelsalam W. Abbas Ahmed M. Megahed Ahmed A.M. Said |
| author_facet | Sara I. Abdelsalam W. Abbas Ahmed M. Megahed Ahmed A.M. Said |
| author_sort | Sara I. Abdelsalam |
| collection | DOAJ |
| description | The objective of this paper is to examine the flow of a non-Newtonian Maxwell fluid induced by a permeable stretching sheet in motion within a porous medium. The research incorporates the Cattaneo-Christov heat flux model to study the heat transfer process. The utilization of the Cattaneo-Christov heat flux approach becomes relevant in scenarios involving materials with high thermal conductivity or during short time intervals. Consequently, the current investigation holds significant importance. It is assumed that the viscosity of the Maxwell fluid changes exponentially as the temperature changes. The modeling of the physical phenomena being investigated takes into account the effects of a magnetic field, thermal radiation, velocity, and thermal slip conditions. In this study, the viscous dissipation phenomenon is taken into account because it can have notable impacts on the temperature and viscosity of the fluid, and is known to play a crucial role in fluid flow phenomena. The equations developed to model fluid flow are transformed into nonlinear ordinary differential equations through the use of appropriate similarity transformations. The focus of the research revolves around investigating the numerical solution of ordinary differential equations accompanied by boundary conditions using the shooting technique. The findings are then showcased via tables and graphs and scrutinized in order to arrive at conclusions. Furthermore, the precision of the present findings was evaluated by contrasting the heat transfer rate with outcomes that were previously published. Based on the obtained outcomes, it can be concluded that both the Eckert number and thermal radiation have a comparable enhancing influence, whereas the thermal relaxation parameter and thermal slip parameter exhibit opposing effects. |
| first_indexed | 2024-03-08T21:28:29Z |
| format | Article |
| id | doaj.art-b131cfae0085400d8fb818ca9a42c03f |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-03-08T21:28:29Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-b131cfae0085400d8fb818ca9a42c03f2023-12-21T07:34:29ZengElsevierHeliyon2405-84402023-12-01912e22740A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheetSara I. Abdelsalam0W. Abbas1Ahmed M. Megahed2Ahmed A.M. Said3Instituto de Ciencias Matemáticas ICMAT, CSIC, UAM, UCM, UC3M, Madrid 28049, Spain; Basic Science, Faculty of Engineering, The British University in Egypt, Al-Shorouk City, Cairo 11837, Egypt; Corresponding author.Basic and Applied Science Department, College of Engineering and Technology, Arab Academy for Science, Technology and Maritime Transport, Cairo, EgyptDepartment of Mathematics, Faculty of Science, Benha University, Benha, EgyptEngineering Physics and Mathematics Department, Faculty of Engineering at El-Mattaria, Helwan university, Cairo, Egypt; Faculty of Engineering, King Salman International University, El-Tur, South Sinai, EgyptThe objective of this paper is to examine the flow of a non-Newtonian Maxwell fluid induced by a permeable stretching sheet in motion within a porous medium. The research incorporates the Cattaneo-Christov heat flux model to study the heat transfer process. The utilization of the Cattaneo-Christov heat flux approach becomes relevant in scenarios involving materials with high thermal conductivity or during short time intervals. Consequently, the current investigation holds significant importance. It is assumed that the viscosity of the Maxwell fluid changes exponentially as the temperature changes. The modeling of the physical phenomena being investigated takes into account the effects of a magnetic field, thermal radiation, velocity, and thermal slip conditions. In this study, the viscous dissipation phenomenon is taken into account because it can have notable impacts on the temperature and viscosity of the fluid, and is known to play a crucial role in fluid flow phenomena. The equations developed to model fluid flow are transformed into nonlinear ordinary differential equations through the use of appropriate similarity transformations. The focus of the research revolves around investigating the numerical solution of ordinary differential equations accompanied by boundary conditions using the shooting technique. The findings are then showcased via tables and graphs and scrutinized in order to arrive at conclusions. Furthermore, the precision of the present findings was evaluated by contrasting the heat transfer rate with outcomes that were previously published. Based on the obtained outcomes, it can be concluded that both the Eckert number and thermal radiation have a comparable enhancing influence, whereas the thermal relaxation parameter and thermal slip parameter exhibit opposing effects.http://www.sciencedirect.com/science/article/pii/S2405844023099486Maxwell fluidSlip conditionsPorous mediumCattaneo–Christov theory |
| spellingShingle | Sara I. Abdelsalam W. Abbas Ahmed M. Megahed Ahmed A.M. Said A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet Heliyon Maxwell fluid Slip conditions Porous medium Cattaneo–Christov theory |
| title | A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet |
| title_full | A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet |
| title_fullStr | A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet |
| title_full_unstemmed | A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet |
| title_short | A comparative study on the rheological properties of upper convected Maxwell fluid along a permeable stretched sheet |
| title_sort | comparative study on the rheological properties of upper convected maxwell fluid along a permeable stretched sheet |
| topic | Maxwell fluid Slip conditions Porous medium Cattaneo–Christov theory |
| url | http://www.sciencedirect.com/science/article/pii/S2405844023099486 |
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