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Theory of nonlinear acoustic forces acting on inhomogeneous fluids

Published online by Cambridge University Press:  11 April 2022

Varun Kumar Rajendran ,
Sujith Jayakumar ,
Mohammed Azharudeen  and
Karthick Subramani Open the ORCID record for Karthick Subramani [Opens in a new window]
Varun Kumar Rajendran
Affiliation:
Department of Mechanical Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai 600127, India
Sujith Jayakumar
Affiliation:
Department of Mechanical Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai 600127, India
Mohammed Azharudeen
Affiliation:
Department of Mechanical Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai 600127, India
Karthick Subramani*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Information Technology, Design and Manufacturing, Kancheepuram, Chennai 600127, India
*
†Email address for correspondence: [email protected]
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Abstract

Recently, the phenomena of streaming suppression and relocation of inhomogeneous miscible fluids under acoustic fields were explained using the hypothesis on mean Eulerian pressure. In this work, we derive the expression for the acoustic body force without relying on any prior assumptions regarding the second-order Eulerian pressure. We present a theory of nonlinear acoustics for inhomogeneous fluids from first principles, which explains streaming suppression and acoustic relocation in both miscible and immiscible inhomogeneous fluids inside a microchannel. This theory predicts the relocation of higher impedance fluids to pressure nodes of the standing wave, which agrees with recent experiments.

JFM classification

Acoustics: Acoustics Micro-/Nano-fluid dynamics: Micro-/Nano-fluid dynamics Low-Reynolds-number flows: Low-Reynolds-number flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 940 , 10 June 2022 , A32
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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