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Open AccessArticle

Mathematical Analysis of the Coating Process over a Porous Web Lubricated with Upper-Convected Maxwell Fluid

1
Department of Mathematics & Statistics, Riphah International University, Islamabad 44000, Pakistan
2
Department of Basic Sciences, MCS, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
3
Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Islamabad 44000, Pakistan
4
Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
*
Authors to whom correspondence should be addressed.
Coatings 2019, 9(7), 458; https://doi.org/10.3390/coatings9070458
Received: 12 May 2019 / Revised: 10 July 2019 / Accepted: 12 July 2019 / Published: 22 July 2019
The present study offers mathematical calculations of the roll-coating procedure lubricated with an upper-convected Maxwell fluid. An incompressible isothermal viscoelastic fluid was considered, with both the roll and the porous web having uniform velocities. By using the lubrication approximation theory, the desired equations of motion for the fluid applied to the porous web were modelled and analyzed. The suction rate on the web and the injection rate at the roll surface were proportionately anticipated. Results for the velocity profile and pressure gradient were received analytically. Fluid parameters of industrial significance (i.e., detachment point, pressure, sheet/roll separating force, power contribution, and coating thickness) were also calculated numerically. A substantial and monotonic increase was witnessed in these quantities with the increase of flow parameters. View Full-Text
Keywords: upper-convected Maxwell flow; roll coating analysis; lubrication approximation theory; numerical procedures; porous web upper-convected Maxwell flow; roll coating analysis; lubrication approximation theory; numerical procedures; porous web
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Zafar, M.; A. Rana, M.; Zahid, M.; Ahmad, B. Mathematical Analysis of the Coating Process over a Porous Web Lubricated with Upper-Convected Maxwell Fluid. Coatings 2019, 9, 458.

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