Parametric resonance of a composite cylindrical shell containing pulsatile flow of hot fluid

Vast literature is available for modeling the coupled fluid structure interaction involving the flow of a pulsatile fluid through pipes/shells under ambient temperature. In contrast it is found that there is no literature on such problems under the influence of temperature. This paper considers the evaluation of dynamic instability regions due to a flow of pulsating hot fluid through an insulated composite cylindrical shell. A coupled fluid structure interaction model in conjunction with uncoupled thermomechanical model is used for analysis. The systemʹs equations of motion containing periodic coefficients are expressed in modal domain considering linear transformation. Fourth order Runge–Kutta method using Gillʹs coefficient is adopted to compute the state transition matrix which provides the stability information of the periodic system following the Floquet–Liapunov theory. Pulsatile flow of water at various magnitude of steady state temperature is considered and hence the effect of water temperature on the instability regions is analyzed. The influence of lamina fibre angle on the instability regions is also examined.