Mathematical analysis of a non-Newtonian polymer in the forward roll coating process

Muhammad Zahid; Muhammad Zafar; Muhammad A. Rana; Muhammad S. Lodhi; Abdul S. Awan; Babar Ahmad

doi:10.1515/polyeng-2019-0297

Article

Mathematical analysis of a non-Newtonian polymer in the forward roll coating process

Muhammad Zahid , Muhammad Zafar , Muhammad A. Rana , Muhammad S. Lodhi , Abdul S. Awan and Babar Ahmad

Published/Copyright: August 3, 2020

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From the journal Journal of Polymer Engineering Volume 40 Issue 8

Abstract

This article describes the development of a mathematical model of forward roll coating of a thin film of a non-Newtonian material when it passes through a small gap between the two counter-rotating rolls. The conservation equations of mass, momentum, and energy in the light of LAT (lubrication approximation theory) are non-dimensionalized and solutions for the velocity profile, flow rate, pressure distribution, pressure, forces, stresses, power input to the roller, and temperature distribution are calculated analytically. It is found that by changing (increasing/decreasing) the value of material parameters, one can really control the engineering parameters like, stress and the most important the coating thickness and is a quick reference for the engineer working in coating industries. Some results are shown graphically. From the present study, it has been established that the material parameter is a device to control flow rate, coating thickness, separation points, and pressure distribution.

Keywords: analytic solutions; lubrication theory; non-Newtonian material; roll coating

Corresponding author: Muhammad Zahid, Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Abbottabad, Pakistan, E-mail: zahid315@hotmail.com

Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
Research funding: None declared.
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2019-11-07

Accepted: 2020-06-03

Published Online: 2020-08-03

Published in Print: 2020-09-25

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Articles in the same Issue

https://doi.org/10.1515/polyeng-2019-0297

Keywords for this article

analytic solutions; lubrication theory; non-Newtonian material; roll coating