Computational Ecology and Software, 2016, 6(3): 106-119
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A computational intensive method- Lubrication approximation theory for blade coating process

Saira Bhatti1,2, M. A. Rana1, A. M. Siddiqui3, M. Zahid2, Hafiz Abdul Wahab4
1Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
3Department of Mathematics, Pennsylvania State University, Edgecomb Avenue, York, PA 17403, USA
4Department of Mathematics, Hazara University Mansehra Pakistan

Received 3 May 2016;Accepted 12 June 2016;Published online 1 September 2016

This paper presents the analysis of the process of blade coating through a computational intensive method for an incompressible Newtonian fluid along with Magnetohydrodynamics (MHD). The slip between the substrate and the fluid is also taken into account. The nature of the existing steady solutions has been investigated with the help of exact and numerical methods. Those obtained exact solutions include the solutions for the velocity profiles, volumetric flow rate and pressure gradient. The important engineering quantities like maximum pressure, pressure distribution and load are also computed. It is assumed that the relative velocity between the plate and the fluid is proportional to the shear rate at the plate. An external magnetic field is applied normal to the plates. It is observed and concluded that both slip parameter and the magnetic field parameter serve as the controlling parameters in the industrial blade coating process.

Keywords computational method;lubrication approximation theory;blade coating process;Newtonian fluid;MHD steady flows;slip conditions.

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