Sharif University of Technology Scientia Iranica 1026-3098 Articles in Press 2025 02 15 A study of fractional Oldroyd-B fluid flow in a ciliated tube 23819 10.24200/sci.2025.63613.8527 EN Khadija Maqbool Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan Hajra Ansar Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan Amer Bilal Mann Department of Mathematical Sciences, Federal Urdu University of Arts, Sciences & Technology, Near Bahria Enclave, Sector C-2, Islamabad 44000, Pakistan 0000-0001-6087-6686 Sebastien Poncet Mechanical Engineering Department, Universite de Sherbrooke, Sherbrooke (QC), J1K2R1 Canada Journal Article 2023 12 02 This study presents a mathematical model for the fractional Oldroyd-B fluid flow through a ciliated tube. The proposed model simulates the movement of mucus (fractional Oldroyd-B fluid) within the respiratory tract, where symplectic and antiplectic metachronal wave patterns are generated by ciliary motion. The model, though intricate, is simplified using the lubrication approach, and the resulting partial differential Equations (pdes) are solved using the fractional Adomian Decomposition Method (ADM). For the analysis of fluid flow, mathematical expressions for the pressure gradient, pressure rise, frictional force, and streamlines are derived, plotted, and discussed. The graphical results demonstrate that the symplectic wave pattern is more effective than the antiplectic wave pattern in transporting mucus through the respiratory tract. Fractional Oldroyd-B fluid Ciliated cylinder Metachronal waves fractional differential equations Adomian decomposition method https://scientiairanica.sharif.edu/article_23819_863f26505ec22ffe51927c6aef85b648.pdf