TY - JOUR
T1 - A Direct Numerical Simulation Method for Flow of Brownian Fiber Suspensions in Complex Geometries
AU - Moosaie, Amin
AU - Manhart, Michael
N1 - Funding Information:
This project is funded by the International Graduate School of Science and Engineering (IGSSE) at Technische Universität München. We thank Eric Shaqfeh for his interest in this investigation.
PY - 2013/3
Y1 - 2013/3
N2 - A two-way coupled, direct simulation technique is proposed for the numerical solution of Brownian fiber suspension flows in complex geometries. The isothermal, incompressible, non-Newtonian Navier-Stokes equations are solved in an Eulerian framework using the finite volume method for the spatial discretization and a third-order Runge-Kutta scheme for the time integration. A conservative immersed boundary method is employed for the treatment of complex geometries. The fibers are treated in a Lagrangian manner. Therefore, complex geometries are retrieved naturally. The conformation of fibers is obtained by solving Jeffery's equation for an ensemble of rigid fibers. Brownian motion is simulated by a three-dimensional Wiener process. The proposed method does not require a moment closure model. The simulator is validated in a plane channel flow and a cylinder flow at the limit of extremely strong Brownian motion. Then, we use it to solve four problems, that is, a circular cylinder in a cross flow, the flow in a channel with periodic constrictions, the flow in a 4:1 contraction channel and the flow in a rectangular pipe with cylindrical constrictions.
AB - A two-way coupled, direct simulation technique is proposed for the numerical solution of Brownian fiber suspension flows in complex geometries. The isothermal, incompressible, non-Newtonian Navier-Stokes equations are solved in an Eulerian framework using the finite volume method for the spatial discretization and a third-order Runge-Kutta scheme for the time integration. A conservative immersed boundary method is employed for the treatment of complex geometries. The fibers are treated in a Lagrangian manner. Therefore, complex geometries are retrieved naturally. The conformation of fibers is obtained by solving Jeffery's equation for an ensemble of rigid fibers. Brownian motion is simulated by a three-dimensional Wiener process. The proposed method does not require a moment closure model. The simulator is validated in a plane channel flow and a cylinder flow at the limit of extremely strong Brownian motion. Then, we use it to solve four problems, that is, a circular cylinder in a cross flow, the flow in a channel with periodic constrictions, the flow in a 4:1 contraction channel and the flow in a rectangular pipe with cylindrical constrictions.
KW - Complex geometry
KW - Monte-Carlo method
KW - direct numerical simulation
KW - fiber suspension
KW - stochastic simulation
UR - http://www.scopus.com/inward/record.url?scp=84874505342&partnerID=8YFLogxK
U2 - 10.1080/01932691.2011.634750
DO - 10.1080/01932691.2011.634750
M3 - Article
AN - SCOPUS:84874505342
SN - 0193-2691
VL - 34
SP - 427
EP - 440
JO - Journal of Dispersion Science and Technology
JF - Journal of Dispersion Science and Technology
IS - 3
ER -