Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study
In this article, the sheeting of pseudoplastic material under non-isothermal conditions has been studied. It is an excellent forecasting instrument for sheeting, where the thickness of the sheet is relatively thin in relation to the roll size, according to theoretical study based on the lubrication...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-11-01
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| Series: | Applied Rheology |
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| Online Access: | https://doi.org/10.1515/arh-2024-0018 |
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| author | Zahid Muhammad Souayeh Basma Ali Fateh Farmer M. Rahmat Fiza Ilyas Muhammad |
| author_facet | Zahid Muhammad Souayeh Basma Ali Fateh Farmer M. Rahmat Fiza Ilyas Muhammad |
| author_sort | Zahid Muhammad |
| collection | DOAJ |
| description | In this article, the sheeting of pseudoplastic material under non-isothermal conditions has been studied. It is an excellent forecasting instrument for sheeting, where the thickness of the sheet is relatively thin in relation to the roll size, according to theoretical study based on the lubrication theory. At the calendering process, the detachment point is determined by taking the material parameter’s impact into account. The governing equations are derived for the constitutive equation of the Carreau fluid with momentum and energy equations. Suitable non-dimensional parameters are used to develop the non-linear partial differential expressions into ordinary differential systems. The maximum pressure, roll separating force, normal stress effect, and power delivered to the fluid by rolls are among the engineering-relevant quantities that are determined. Moreover, a graphic analysis is conducted to examine the impact of different material parameters on the temperature profile, pressure gradient, velocity profile, and pressure distribution. The results specific mechanism is explained in depth. |
| format | Article |
| id | doaj-art-c3586f3786304a59a569a0a4eb84ede8 |
| institution | OA Journals |
| issn | 1617-8106 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Applied Rheology |
| spelling | doaj-art-c3586f3786304a59a569a0a4eb84ede82025-08-20T02:13:41ZengDe GruyterApplied Rheology1617-81062024-11-0134119121210.1515/arh-2024-0018Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical studyZahid Muhammad0Souayeh Basma1Ali Fateh2Farmer M.3Rahmat Fiza4Ilyas Muhammad5Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Abbottabad, PakistanDepartment of Physics, College of Science, King Faisal university, P. O. Box 400, Al-Ahsa, 31982, Saudi ArabiaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, ChinaBusiness School England, 252, 256 Romford Rd, London, E7 9HZ, UKDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Abbottabad, PakistanDepartment of Computer Science, COMSATS University Islamabad, Abbottabad Campus, 22060, Abbottabad, PakistanIn this article, the sheeting of pseudoplastic material under non-isothermal conditions has been studied. It is an excellent forecasting instrument for sheeting, where the thickness of the sheet is relatively thin in relation to the roll size, according to theoretical study based on the lubrication theory. At the calendering process, the detachment point is determined by taking the material parameter’s impact into account. The governing equations are derived for the constitutive equation of the Carreau fluid with momentum and energy equations. Suitable non-dimensional parameters are used to develop the non-linear partial differential expressions into ordinary differential systems. The maximum pressure, roll separating force, normal stress effect, and power delivered to the fluid by rolls are among the engineering-relevant quantities that are determined. Moreover, a graphic analysis is conducted to examine the impact of different material parameters on the temperature profile, pressure gradient, velocity profile, and pressure distribution. The results specific mechanism is explained in depth.https://doi.org/10.1515/arh-2024-0018calenderingcarreau fluid modelrigid rollslubrication theorynumerical solutionsanalytic solutions |
| spellingShingle | Zahid Muhammad Souayeh Basma Ali Fateh Farmer M. Rahmat Fiza Ilyas Muhammad Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study Applied Rheology calendering carreau fluid model rigid rolls lubrication theory numerical solutions analytic solutions |
| title | Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study |
| title_full | Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study |
| title_fullStr | Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study |
| title_full_unstemmed | Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study |
| title_short | Calendering of non-isothermal viscoelastic sheets of finite thickness: A theoretical study |
| title_sort | calendering of non isothermal viscoelastic sheets of finite thickness a theoretical study |
| topic | calendering carreau fluid model rigid rolls lubrication theory numerical solutions analytic solutions |
| url | https://doi.org/10.1515/arh-2024-0018 |
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