We consider the partial differential equation model for nearly incompressible elasticity and Stokes flow
as problems of similar mixed formulation.
Thompson et al., "Image-based Stokes flow
modeling in bulk proppant packs and propped fractures under high loading stresses," Journal of Petroleum Science and Engineering, vol.
In Section 3, both polygon-based and mesh-based schemes are applied to evaluate the drag force acting on a sphere in Stokes flow
. The obtained results are compared with the analytical solution.
For laminar regime ([Re.sub.p] < 1), the inertial effects are negligibly small and the flow is considered as Stokes flow
, according to the Stokes law:
In the present work, the immersed boundary-induced Stokes flow
is studied using IBM.
In order to simplify the derivation of variational weak form, nonlinear term u x [nabla]u can be ignored, and the equitation is reduced to Stokes flow
equation: -[mu][DELTA]u + [nabla]p = f.
Among specific topics are modeling plasma flow with particle classes for different charge carriers and neutral particles, particle interactions in oscillatory Stokes flow
, global eigenmodes of free-interface vertical liquid sheet flows, horizontal air-water flow pattern recognition, and pore-scale observation of surfactant flooding for weakly water-wet porous media.
Pozrikids  considered peristaltic flow under the assumption of creeping motion and used boundary integral method for Stokes flow
. Srivastava and Srivastava [17,18] showed the effects of power-law fluid in uniform and non-uniform tubes and in a channel under zero Reynolds number and long wavelength approximations.
It describes classical theories in BEM formulations and the recent development of the fast multipole method, and covers potential, elastostatic, Stokes flow
, and acoustic wave problems in two and three-dimensional domains, with exercises and computer source codes.
Instead of using the Hele-Shaw formulation, we employ three-dimensional (3D) Stokes flow
equations to express viscous flow under isothermal conditions, as below:
Higdon, Oscillatory stokes flow
in periodic porous media, Phys.
Due to the small scale of the calculation model, the pore size is less than 0.1 mm, and the Reynolds number is far less than 1; thus the creeping flow (Stokes Flow
) interface was utilized to solve the flow problem instead of the Laminar Flow (N-S equation) interface in this paper.