The paper “Dynamic sloshing in a rectangular vessel with porous baffles” authored by Matt Turner has been accepted for publication in the Journal of Engineering Mathematics. This paper examines the form of the coupled sloshing modes which exist in the system given in the figure below. By examining the linearized system a characteristic equation is derived whose solutions yield the natural frequencies of the system. It was found that the porous baffle causes the system to be non-conservative, and energy is lost as the fluid is transmitted through the baffle. Numerical results are presented for the variation of the system natural frequencies (and system decay rates) as a function of the system parameters. The author final copy of the paper can be found here. The published paper can be found here. The image below shows Figure 1 from the paper.