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Langlois’ Recursive Approach to Non-Creeping Inertial Viscoelastic Corner Flow in Thin Films | ||
| Journal of Computational Applied Mechanics | ||
| دوره 57، شماره 2، تیر 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 | ||
| مراجع | ||
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[20] S. Shaheen, K. Maqbool, R. Ellahi, S. Sait, Metachronal propulsion of non-Newtonian viscoelastic mucus in an axisymmetric tube with ciliated walls, Communications in Theoretical Physics, Vol. 73, pp. 035006, 03/01, 2021.
[21] F. J. Awan, K. Maqbool, S. M. Sait, R. Ellahi, Buoyancy effect on the unsteady diffusive convective flow of a Carreau fluid passed over a coated disk with energy loss, Coatings, Vol. 12, No. 10, pp. 1510, 2022.
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[23] H. Alfadil, A. E. Abouelregal, Ö. Civalek, H. F. Öztop, Effect of the photothermal Moore–Gibson–Thomson model on a rotating viscoelastic continuum body with a cylindrical hole due to the fractional Kelvin-Voigt model, Indian Journal of Physics, Vol. 97, No. 3, pp. 829-843, 2023.
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