Non-invasive manipulation scheme of spherical particle in viscous fluids in a tube based on acoustic radiation force

A theoretical solution of the acoustic radiation force (ARF) on spherical particles by an arbitrary beam in viscous fluids in a tube is proposed. Based on the parametric design with the purpose of promoting calculi in the urinary system, theoretical solutions and finite element simulations are carried out, which mutually confirm the accuracy and feasibility of the scheme. The variation law of the ARF with adjustable parameters, such as incident angle, frequency spectrum, particle radius, tube radius, and viscosity, is studied, and the mechanism of the variation law is explained. This solution lays a foundation for the application of non-contact and non-invasive in-tube manipulation based on ARF in medicine and life sciences.