Assessment of the Instability of Conical Pipes Conveying Hot Flow Subjected to Different Boundary Conditions

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.