University of Tehran Press Journal of Computational Applied Mechanics 2423-6713 57 2 2026 04 01 Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films 326 347 105798 10.22059/jcamech.2026.410397.1772 EN Laraib Mehboob Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan Khadija Maqbool Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan R Ellahi Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan Center for Modeling & Computer Simulation, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia Sadiq M Sait Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum & Minerals, Dhahran-31261, Saudi Arabia Interdisciplinary Research Center for Smart Mobility and Logistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia Journal Article 2026 02 01 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. https://jcamech.ut.ac.ir/article_105798_19d5798e8e5c540c30504f84cd7b573d.pdf