Mehboob, Laraib, Maqbool, Khadija, Ellahi, R, Sait, Sadiq M. (1405). Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films. , 57(2), 326-347. doi: 10.22059/jcamech.2026.410397.1772
Laraib Mehboob; Khadija Maqbool; R Ellahi; Sadiq M Sait. "Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films". , 57, 2, 1405, 326-347. doi: 10.22059/jcamech.2026.410397.1772
Mehboob, Laraib, Maqbool, Khadija, Ellahi, R, Sait, Sadiq M. (1405). 'Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films', , 57(2), pp. 326-347. doi: 10.22059/jcamech.2026.410397.1772
Mehboob, Laraib, Maqbool, Khadija, Ellahi, R, Sait, Sadiq M. Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films. , 1405; 57(2): 326-347. doi: 10.22059/jcamech.2026.410397.1772

Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films

Journal of Computational Applied Mechanics
دوره 57، شماره 2، تابستان 2026، صفحه 326-347    اصل مقاله (1.3 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jcamech.2026.410397.1772
نویسندگان
Laraib Mehboob1؛ Khadija Maqbool1؛ R Ellahi* 1، 2؛ Sadiq M Sait3، 4
1Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
2Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
3Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia
4Interdisciplinary Research Center for Smart Mobility and Logistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
چکیده
Dip coating is a key technique in thin film fabrication, widely applied in protective coatings, and material surface engineering. The coating quality depends strongly on the fluid dynamics near substrate edges, where viscoelastic effects and inertial forces can lead to stress concentration and flow instabilities. A viscoelastic fluid model is formulated based on conservation of mass and momentum, with nonlinear governing equations solved using the Langlois recursive approach and the inverse method. Analytical solutions of the stream function provide insight into velocity fields, pressure distribution, and stress behavior near the substrate surface. Results show that stresses and pressure diverge near sharp substrate corners, which can compromise coating durability. Variations in the interface angle significantly alter stress distributions on both the substrate and free surface. Furthermore, inertial forces amplify fluid velocities in the corner region, directly influencing film thickness uniformity and mechanical performance of coated layers.
کلیدواژه‌ها
Thin film؛ Viscoelastic؛ Inertial forces؛ Corner flow؛ Langlois approach
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آمار
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