Numerical calculation of acoustic radiation forces acting on a sphere in a viscous fluid

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Shahrokh SepehrirahnamaKian-Meng Lim

Abstract

In this work, a numerical scheme based on multipoles and Stokeslet is proposed for calculating the radiation force acting on a single rigid sphere in a viscous fluid. First-order velocity and pressure are obtained from the multipole series solution, and the volumetric force in the acoustic streaming is subsequently calculated from the first-order velocity and pressure. The acoustic streaming equations are solved using the Stokeslet method within a finite domain descretized by tetrahedral elements. The boundary conditions for streaming are imposed using the weighted residue method to obtain the unknown coefficients in the multipole series expansion for the second-order velocity potentials. The radiation forces obtained from this multipole-Stokeslet method match well with Doinikov's series solution, for a wide range of the sphere size. Compared to the complicated series solution, the multipole-Stokeslet method can be easily implemented without the evaluation of the semi-infinite integrals.

References

Jan 21, 2000·The Journal of the Acoustical Society of America·S D Danilov, M A Mironov
Sep 19, 2006·Biosensors & Bioelectronics·Larisa A Kuznetsova, W Terence Coakley
Jan 18, 2007·The Journal of the Acoustical Society of America·Philip L Marston
Mar 25, 2011·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·F G Mitri
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Likun Zhang, Philip L Marston
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mikkel Settnes, Henrik Bruus
Apr 17, 2012·The Journal of the Acoustical Society of America·Likun Zhang, Philip L Marston
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Subramanian AnnamalaiManoj K Parmar
Dec 7, 2014·The Journal of the Acoustical Society of America·Likun Zhang, Philip L Marston
May 23, 2015·The Journal of the Acoustical Society of America·Shahrokh SepehrirahnamaFook Siong Chau
Jun 22, 2015·The Journal of the Acoustical Society of America·W Ran, J R Saylor

❮ Previous
Next ❯

Citations

Jun 17, 2018·Physical Review. E·Abhishek Ray MohapatraKian-Meng Lim

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.