This study presents a mathematical model of transmission loss (TL) for finite-sized corrugated-core sandwich panels subjected to aerodynamic pressure. The aerodynamic pressure is calculated using a cross-power spectral density function. The propagation of sound waves within a corrugated sandwich-panel structure is described using the wave propagation method. The corrugated-stiffened panel is equivalently represented using translational and rotational springs. Fluid‒structure coupling is considered by enforcing interface velocity continuity conditions at the fluid‒solid interface. A modal superposition method is used to establish the dynamic equations of the corrugated-core sandwich panel. The velocity response, radiated power, and TL of the corrugated-core sandwich panel are obtained by solving dynamic equations. A mathematical model is employed to investigate the acoustic characteristics of corrugated-core sandwich panels. Subsequently, the distinctions in the TL of a corrugated sandwich panel under acoustic and aerodynamic pressures (turbulence) are discussed. The influences of the flow velocity, corrugated-core sandwich-panel thickness, and corrugated-stiffener angle on the TL performance of the panel are investigated. This analysis contributes to a deeper understanding of the acoustic design of corrugated-core sandwich panels.