While classical Rayleigh streaming, whose circulations are perpendicular to the transducer radiating surfaces, is wellknown, transducer-plane streaming patterns, in which vortices circulate parallel to the surface driving the streaming, have been less widely discussed. Previously, a four-quadrant transducer-plane streaming pattern has been seen experimentally and subsequently investigated through numerical modelling. In this paper, we show that by considering higher order threedimensional cavity modes of rectangular channels in thin-layered acoustofluidic manipulation devices, a wider family of transducer-plane streaming patterns are found. As an example, we present a transducer-plane streaming pattern, which consists of eight streaming vortices with each occupying one octant of the plane parallel to the transducer radiating surfaces, which we call here eight-octant transducer-plane streaming. An idealised modal model is also presented to highlight and explore the conditions required to produce rotational patterns. It is found that both standing and travelling wave components are typically necessary for the formation of transducer-plane streaming patterns. In addition, other streaming patterns related to acoustic vortices and systems in which travelling waves dominate are explored with implications for potential applications.
DOI:I. INTRODUCTION Acoustic streaming is steady fluid motion driven by the absorption of acoustic energy due to the interaction of acoustic waves with the fluid medium or its solid boundaries. Understanding the driving mechanisms of acoustic streaming patterns within acoustofluidic devices is important in order to precisely control it for the enhancement or suppression of acoustic streaming for applications such as particle/cell manipulation [1-8], heat transfer enhancement [9-12], noncontact surface cleaning [13][14][15][16][17], microfluidic mixing [18][19][20][21][22][23][24][25][26][27], and transport enhancement [28][29][30][31][32][33][34][35].In most bulk micro-acoustofluidic particle and cell manipulation systems of interest, the acoustic streaming fields are dominated by boundary-driven streaming [36], which is associated with acoustic dissipation in the viscous boundary layer [37]. Theoretical work on boundary-driven streaming was initiated by Rayleigh [38], and developed by a series of modifications for particular cases [39][40][41][42][43][44], which have paved the fundamental understanding of acoustic streaming flows.While Rayleigh streaming patterns (which have streaming vortices with components perpendicular to the driving boundaries) have been extensively studied [45][46][47][48], we have recently explored the mechanisms behind fourquadrant transducer-plane streaming [49] which generates streaming vortices in planes parallel to the driving boundary, and modal Rayleigh-like streaming [50] in which vortices have a roll size greater than the quarter wavelength of the main acoustic resonance and are driven by limiting velocities (the value of the streaming velocity just outside...