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A mathematical analysis for the blade coating process of Oldroyd 4-constant fluid

  • Hasan Shahzad ORCID logo EMAIL logo , Xinhua Wang , Muhammad Mughees , Muhammad Sajid and Nasir Ali
Published/Copyright: September 10, 2019
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Abstract

A mathematical study of an Oldroyd 4-constant fluid for a blade coating process is studied in this paper. The results for plane as well as exponential coaters are analyzed. Suitable dimensionless variables are used to convert the model governing equations into dimensionless form. Lubrication approximation theory is applied to simplify the dimensionless form of governing partial differential equations. The well-known numerical technique known as the shooting method is used to solve the non-linear boundary value problem. Influence of the involved rheological parameters on the blade coating process is analyzed. From an engineering point of view, load on the blade and pressure are important outcomes of the present study as they ensure the thickness and quality of coating and enhance the life of the substrate. The effects of material parameters on load, thickness, velocity, pressure and pressure gradient are discussed. Obtained results for velocity, pressure gradient and pressure distribution are shown graphically, whereas load and thickness are expressed in a tabulated form.

  1. Funding: This research was funded by the National Key Research and Development Program of China (grant no. 2017YFC0805005), the Joint Program of Beijing Municipal Natural Science Foundation Commission and Beijing Municipal Education Commission (grant no. 18JH0005) and the Rixin Scientist of Beijing University of Technology.

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Received: 2019-06-27
Accepted: 2019-08-16
Published Online: 2019-09-10
Published in Print: 2019-09-25

©2019 Walter de Gruyter GmbH, Berlin/Boston

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