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Journal of Porous Media
Facteur d'impact: 1.49 Facteur d'impact sur 5 ans: 1.159 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN Imprimer: 1091-028X
ISSN En ligne: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v20.i2.10
pages 99-110

BLADE-COATING ANALYSIS OF A SECOND-GRADE FLUID WITH A POROUS PLATE

Saira Bhatti
Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan; Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Muhammad Afzal Rana
Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
Abdul Majeed Siddiqui
Department of Mathematics, Pennsylvania State University, York Campus, 1031 Edgecomb Avenue, York, PA 17403, USA
Muhammad Zahid
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Hafiz Abdul Wahab
Department of Mathematics, Hazara University Mansehra, Pakistan

RÉSUMÉ

An analysis has been presented for the second-grade fluid of blade coating with a moving porous substrate. The lubrication approximation theory has been used to simplify the equations of motion. For the investigation of the nature of the steady solutions that exist, we make use of the combination of exact solution and numerical methods. The expressions for the velocity profile, rate of volumetric flow, and pressure gradient are found in the form of exact solutions. Furthermore, the quantities of interest by an engineering point of view, such as pressure distribution and load, are also computed. Some results are shown graphically while others are given in tabulated form. It is found that the non-Newtonian parameter ε and Reynolds number Re serve as the controlling parameters for the blade-coating process.


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