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Analytical expressions are derived for the time-averaged, quasi-steady,acoustic radiation force on a heated, spherical, elastic, solid microparticlesuspended in a fluid and located in an axisymmetric incident acoustic wave. Theheating is assumed to be spherically symmetric, and the effects of particlevibrations, sound scattering, and acoustic microstreaming are included in thecalculations of the acoustic radiation force. It is found that changes in thespeed of sound of the fluid due to temperature gradients can significantlychange the force on the particle, particularly through perturbations to themicrostreaming pattern surrounding the particle. For some fluid-solidcombinations, the effects of particle heating even reverse the direction of theforce on the particle for a temperature increase at the particle surface assmall as 1 K.

Acoustic radiation force on a heated spherical particle in a fluid including scattering and microstreaming from a standing ultrasound wave