An understanding of the flame transfer function (FTF) is essential for predicting the onset of combustion instabilities in gas turbine combustors, where flow oscillations excited by acoustic forcing drive burning area and heat-release oscillations that can couple unfavourably with combustor acoustic modes. The heatrelease response is expensive to characterize directly through time resolved simulation, motivating […]

This thesis develops analytical and computational frameworks for studying static and dynamic behaviour in nonlocal elastic structures, focusing on wave propagation, stress localization, and guided-wave phenomena at micro- and nano-scales, where size-dependent effects fall outside classical continuum mechanics. Eringen's differential nonlocal elasticity theory and higher-order continuum formulations are used to capture these small-scale interactions. The […]