Mathematical analysis of the coating process over a porous web lubricated with upper-convected maxwell fluid

Muhammad Zafar; Muhammad A. Rana; Muhammad Zahid; Babar Ahmad

doi:10.3390/coatings9070458

Mathematical analysis of the coating process over a porous web lubricated with upper-convected maxwell fluid

Muhammad Zafar
, Muhammad A. Rana
, Muhammad Zahid
, Babar Ahmad

Riphah International University
National University of Sciences and Technology Pakistan
COMSATS University Islamabad

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

The present study offers mathematical calculations of the roll-coating procedure lubricated with an upper-convectedMaxwell fluid. An incompressible isothermal viscoelastic fluid was considered, with both the roll and the porous web having uniformvelocities. 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.

Original language	English
Article number	458
Journal	Coatings
Volume	9
Issue number	7
DOIs	https://doi.org/10.3390/coatings9070458
State	Published - 1 Jul 2019
Externally published	Yes

Keywords

Lubrication approximation theory
Numerical procedures
Porous web
Roll coating analysis
Upper-convected Maxwell flow

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10.3390/coatings9070458

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title = "Mathematical analysis of the coating process over a porous web lubricated with upper-convected maxwell fluid",

abstract = "The present study offers mathematical calculations of the roll-coating procedure lubricated with an upper-convectedMaxwell fluid. An incompressible isothermal viscoelastic fluid was considered, with both the roll and the porous web having uniformvelocities. 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.",

keywords = "Lubrication approximation theory, Numerical procedures, Porous web, Roll coating analysis, Upper-convected Maxwell flow",

author = "Muhammad Zafar and Rana, \{Muhammad A.\} and Muhammad Zahid and Babar Ahmad",

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T1 - Mathematical analysis of the coating process over a porous web lubricated with upper-convected maxwell fluid

AU - Zafar, Muhammad

AU - Rana, Muhammad A.

AU - Zahid, Muhammad

AU - Ahmad, Babar

PY - 2019/7/1

Y1 - 2019/7/1

N2 - The present study offers mathematical calculations of the roll-coating procedure lubricated with an upper-convectedMaxwell fluid. An incompressible isothermal viscoelastic fluid was considered, with both the roll and the porous web having uniformvelocities. 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.

AB - The present study offers mathematical calculations of the roll-coating procedure lubricated with an upper-convectedMaxwell fluid. An incompressible isothermal viscoelastic fluid was considered, with both the roll and the porous web having uniformvelocities. 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.

KW - Lubrication approximation theory

KW - Numerical procedures

KW - Porous web

KW - Roll coating analysis

KW - Upper-convected Maxwell flow

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DO - 10.3390/coatings9070458

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VL - 9

JO - Coatings

JF - Coatings

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ER -

Mathematical analysis of the coating process over a porous web lubricated with upper-convected maxwell fluid

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Keywords

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