Numerical analysis of the forward roll coating of a Rabinowitsch fluid

Author:

M Zahid1ORCID,Zafar M2,Rana MA2,Rana MTA3,Lodhi MS4

Affiliation:

1. Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Pakistan

2. Department of Mathematics & Statistics, Riphah International University, Islamabad, Pakistan

3. School of Computing and Mathematics, Charles Sturt University, NSW, Australia

4. Department of Management Sciences, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Pakistan

Abstract

This paper analyses an isothermal roll coating for a Rabinowitsch fluid. Equations of motion are simplified using lubrication approximation theory. Analytical solutions of velocity, flow rate and pressure-gradient are calculated. Outcomes of coating thickness, pressure distribution, split position, stresses, forces, the power input to the roller and the temperature rise between the coating rollers and substrate are obtained. The effects of some involved parameters are displayed through graphs and tables. It is noted that the Rabinowitsch parameter is a controlling quantity for coating thickness, flow rate, separation point, separation force, pressure distribution, and power input. Moreover, an exponential and monotonic change in the above-mentioned engineering parameters is a function of the Rabinowitsch fluid parameter.

Publisher

SAGE Publications

Subject

Materials Chemistry,Polymers and Plastics,Surfaces, Coatings and Films

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