TY - JOUR

T1 - Numerical study of two disks settling in an Oldroyd-B fluid

T2 - From periodic interaction to chaining

AU - Pan, Tsorng Whay

AU - GLOWINSKI, Roland

N1 - Funding Information:
We acknowledge the support of the NSF (Grant No. DMS-1418308)
Funding Information:
We acknowledge the support of the NSF (Grant No. DMS-1418308).

PY - 2017/12/4

Y1 - 2017/12/4

N2 - In this article, we present a numerical study of the dynamics of two disks sedimenting in a narrow vertical channel filled with an Oldroyd-B fluid. Two kinds of particle dynamics are observed: (i) a periodic interaction between the two disks, and (ii) the formation of a two-disk chain. For the periodic interaction of the two disks, two different motions are observed: (a) the two disks stay far apart and interact periodically, and (b) the two disks interact closely and then far apart in a periodic way, like the drafting, kissing, and tumbling of two disks sedimenting in a Newtonian fluid, due to a weak elastic force. Concerning the formation of a two-disk chain occurring at higher values of the elasticity number, either a tilted chain or a vertical chain is observed. Our simulations show that, as expected, the values of the elasticity and Mach numbers are the determining factors concerning the particle chain formation and its orientation.

AB - In this article, we present a numerical study of the dynamics of two disks sedimenting in a narrow vertical channel filled with an Oldroyd-B fluid. Two kinds of particle dynamics are observed: (i) a periodic interaction between the two disks, and (ii) the formation of a two-disk chain. For the periodic interaction of the two disks, two different motions are observed: (a) the two disks stay far apart and interact periodically, and (b) the two disks interact closely and then far apart in a periodic way, like the drafting, kissing, and tumbling of two disks sedimenting in a Newtonian fluid, due to a weak elastic force. Concerning the formation of a two-disk chain occurring at higher values of the elasticity number, either a tilted chain or a vertical chain is observed. Our simulations show that, as expected, the values of the elasticity and Mach numbers are the determining factors concerning the particle chain formation and its orientation.

UR - http://www.scopus.com/inward/record.url?scp=85038209406&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.96.063103

DO - 10.1103/PhysRevE.96.063103

M3 - Article

C2 - 29347336

AN - SCOPUS:85038209406

SN - 2470-0045

VL - 96

JO - Physical Review E

JF - Physical Review E

IS - 6

M1 - 063103

ER -