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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-4pp.2592-2604

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A.R. Askarian, M.R. Permoon, and M. Rahmanian, "Assessment of the Instability of Conical Pipes Conveying Hot Flow Subjected to Different Boundary Conditions," Mech. Solids. 60 (4), 2592-2604 (2025)
Year 2025 Volume 60 Number 4 Pages 2592-2604
DOI 10.1134/S002565442560045X
Title Assessment of the Instability of Conical Pipes Conveying Hot Flow Subjected to Different Boundary Conditions
Author(s) A.R. Askarian (Department of Mechanical Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran, Askarian@vru.ac.ir)
M.R. Permoon (Aerospace Research Institute, Ministry of Science, Research, and Technology, Tehran, Iran, Permoon.reza@ari.ac.ir)
M. Rahmanian (Aeronautical Engineering Department, Aerospace Faculty, Gebze Technical University, Kocaeli, Turkey, Rahmanian@gtu.edu.tr)
Abstract This study presents a comprehensive analysis integrating thermo-flow-geometric coupling effects to investigate the stability behavior of conical pipes conveying hot fluids. Using Hamilton’s principle in conjunction with the Galerkin method, the equations of motion are formulated to capture the interplay between thermal loads, fluid flow, and varying cross-sectional geometry. Internal compressive forces arising from changes in the fluid flow area are modeled as a distributed follower force, while thermal effects are represented as compressive loads. The resulting eigenvalue problem is solved to assess stability under different boundary conditions. This study provides novel insights into how temperature variations and fluid flow cross-section influence pipe stability, offering a great framework for understanding coupled thermal-fluid-structural interactions in conical pipes.
Keywords Conical pipes, Hot flow, Follower force, Flutter, Divergence
Received 25 January 2025Revised 08 May 2025Accepted 09 May 2025
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