A deformable plate interacting with a non-Newtonian fluid in three dimensions
Author(s) -
Luoding Zhu,
Xijun Yu,
Nishuang Liu,
Yongguang Cheng,
XiYun Lu
Publication year - 2017
Publication title -
physics of fluids
Language(s) - English
Resource type - Journals
eISSN - 1089-7666
pISSN - 1070-6631
DOI - 10.1063/1.4996040
Subject(s) - physics , lattice boltzmann methods , newtonian fluid , drag , mechanics , herschel–bulkley fluid , generalized newtonian fluid , fluid dynamics , non newtonian fluid , reynolds number , constitutive equation , classical mechanics , boundary value problem , immersed boundary method , power law , dimensionless quantity , viscosity , boundary (topology) , mathematical analysis , thermodynamics , shear rate , finite element method , turbulence , mathematics , statistics , quantum mechanics
We consider a deformable plate interacting with a non-Newtonian fluid flow in three dimensions as a simple model problem for fluid-structure-interaction phenomena in life sciences (e.g., red blood cell interacting with blood flow). A power-law function is used for the constitutive equation of the non-Newtonian fluid. The lattice Boltzmann equation (the D3Q19 model) is used for modeling the fluid flow. The immersed boundary (IB) method is used for modeling the flexible plate and handling the fluid-plate interaction. The plate drag and its scaling are studied; the influences of three dimensionless parameters (power-law exponent, bending modulus, and generalized Reynolds number) are investigated.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom