Patrick Shola Olayiwola, Theddeus T. Akano, Oluwafemi Ayodele George, John Ogbemhe, T.A. Fashanu
Gas pipeline designs for transmission completion require adequate consideration of the loading inputs such as gas dynamic pressure drops due to expansion, changes in temperature among other potential diversions. In this paper, energy and continuity equations are involved so as to highlight the presence of sound waves in the overall internal flow speed with which gas is being transmitted within the pipeline. Consequently, a disturbance due to the stagnating nature of gas flow through the pipeline with the propagated wave are modelled as interacting with the piping structure. Hence evolving additional components of bending moment and Coriolis force terms that have variable coefficients. These additional components are novel terms in the governing equations for a gas-conveying piping system. In the process of solution analysis, the flow Mach number and sound wave speed are illustrated as influencing the pipe vibration and its dynamic response. The Differential Transformation Method (DTM) is employed to analyse the quasi-static aspect of the problem. The results show that changing the speed of sound, the depth of the pipe in the sea, and the Mach number affects the system dynamic responses and vibration frequency profiles. Results also demonstrate that as the internal flow pressure increases the pipe deformation becomes significantly increasing.