Blade coating analysis of a Williamson fluid
In this article, a mathematical model of a blade coating analysis of the thin film of a Williamson fluid is developed when it passes through the small gap between a blade and a moving substrate. The conservation equations in light of lubrication approximation theory (LAT) are non-dimensionalized and...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2017-01-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379717305818 |
| _version_ | 1818153543544078336 |
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| author | A.M. Siddiqui S. Bhatti M.A. Rana M. Zahid |
| author_facet | A.M. Siddiqui S. Bhatti M.A. Rana M. Zahid |
| author_sort | A.M. Siddiqui |
| collection | DOAJ |
| description | In this article, a mathematical model of a blade coating analysis of the thin film of a Williamson fluid is developed when it passes through the small gap between a blade and a moving substrate. The conservation equations in light of lubrication approximation theory (LAT) are non-dimensionalized and solutions for the velocity, volumetric flow rate and pressure gradient are presented analytically using Adomian decomposition method. Results of the important engineering quantities like coating thickness, pressure distribution, stresses and the power input are obtained. Some results are shown graphically while others are given in tabulated form. It is found that material parameter is used to control flow rate, coating thickness, power input and the pressure distribution. Keywords: Williamson fluid, Blade coating analysis, Lubrication approximation theory, Adomian decomposition method, Perturbation approximation |
| first_indexed | 2024-12-11T14:12:17Z |
| format | Article |
| id | doaj.art-af3c085b6ca049bbaa191853bfe2ef50 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-11T14:12:17Z |
| publishDate | 2017-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-af3c085b6ca049bbaa191853bfe2ef502022-12-22T01:03:22ZengElsevierResults in Physics2211-37972017-01-01728452850Blade coating analysis of a Williamson fluidA.M. Siddiqui0S. Bhatti1M.A. Rana2M. Zahid3Department of Mathematics, Pennsylvania State University, Edgecomb Avenue, York, PA 17403, USADepartment of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, Pakistan; Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan; Corresponding author at: Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan.Department of Mathematics and Statistics, Riphah International University, Sector I-14, Islamabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad, PakistanIn this article, a mathematical model of a blade coating analysis of the thin film of a Williamson fluid is developed when it passes through the small gap between a blade and a moving substrate. The conservation equations in light of lubrication approximation theory (LAT) are non-dimensionalized and solutions for the velocity, volumetric flow rate and pressure gradient are presented analytically using Adomian decomposition method. Results of the important engineering quantities like coating thickness, pressure distribution, stresses and the power input are obtained. Some results are shown graphically while others are given in tabulated form. It is found that material parameter is used to control flow rate, coating thickness, power input and the pressure distribution. Keywords: Williamson fluid, Blade coating analysis, Lubrication approximation theory, Adomian decomposition method, Perturbation approximationhttp://www.sciencedirect.com/science/article/pii/S2211379717305818 |
| spellingShingle | A.M. Siddiqui S. Bhatti M.A. Rana M. Zahid Blade coating analysis of a Williamson fluid Results in Physics |
| title | Blade coating analysis of a Williamson fluid |
| title_full | Blade coating analysis of a Williamson fluid |
| title_fullStr | Blade coating analysis of a Williamson fluid |
| title_full_unstemmed | Blade coating analysis of a Williamson fluid |
| title_short | Blade coating analysis of a Williamson fluid |
| title_sort | blade coating analysis of a williamson fluid |
| url | http://www.sciencedirect.com/science/article/pii/S2211379717305818 |
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