Oseen's correction to stokes drag on axially symmetric arbitrary particle in transverse flow: A new approach [PDF]
Theoretical and Applied Mechanics, 2014 In this paper, Oseen’s correction to Stokes drag experienced by axially symmetric particle placed in a uniform stream perpendicular to axis of symmetry(i.e. transverse flow) is obtained.
Srivastava Deepak Kumar +1 more
doaj +1 more source
Convergence of Parareal for the Navier-Stokes Equations Depending on the Reynolds Number [PDF]
, 2014 The paper presents first a linear stability analysis for the time-parallel Parareal method, using an IMEX Euler as coarse and a Runge-Kutta-3 method as fine propagator, confirming that dominant imaginary eigenvalues negatively affect Parareal's convergence.
Johannes Steiner +3 more
openaire +5 more sources
Boundary Value Problems, 2020 In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain.
Dandan Ren, Yunting Ding, Xinfeng Liang
doaj +1 more source
Efficiency of capture of inertia aerosol particles in a periodic cell with a porous cylinder
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 In this study, aerosol flow in circular and rectangular periodic cells of a regular row of porous cylinders is simulated. The hydrodynamic field of the carrier medium flow outside and in the domain of the porous cylinder is described in the approximation
A.R. Khaziev +3 more
doaj +1 more source
Kolmogorov's dissipation number and the number of degrees of freedom for the 3D Navier–Stokes equations [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2019 AbstractKolmogorov's theory of turbulence predicts that only wavenumbers below some critical value, called Kolmogorov's dissipation number, are essential to describe the evolution of a three-dimensional (3D) fluid flow. A determining wavenumber, first introduced by Foias and Prodi for the 2D Navier–Stokes equations, is a mathematical analogue of ...
Cheskidov, Alexey, Dai, Mimi
openaire +3 more sources
Integral representation of a solution to the Stokes-Darcy problem [PDF]
, 2015 With methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1 ...
Medková, Dagmar +6 more
core +1 more source
About the use of the Stokes number for mathematical modeling of two-phase jet flows
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The appropriateness of using the Stokes number as a single similitude parameter for representation of the results of research on two-phase jet flows in a criteria form was considered.
Yu.V. Zuev
doaj +1 more source
Modeling the Inertial Deposition of Aerosol Particles in a Mixed-Type Filter
Учёные записки Казанского университета: Серия Физико-математические наукиThis article presents a mathematical model that describes the movement of suspended aerosol particles in a mixed-type filter. For the carrier medium, a model of incompressible fluid flow in a porous periodic element consisting of many cylinders with ...
D. A. Safin +3 more
doaj +1 more source
Solutions of the Navier–Stokes Equation at Large Reynolds Number [PDF]
SIAM Journal on Applied Mathematics, 1975 The problem of two-dimensional incompressible laminar flow past a bluff body at large Reynolds number $( R )$ is discussed. The governing equations are the Navier–Stokes equations. For $R = \infty $, the Euler equations are obtained. A solution for R large should be obtained by a perturbation of an Euler solution. However, for given boundary conditions,
openaire +3 more sources
Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization [PDF]
, 2013 http://dx.doi.org/10.1016/j.amc.2013.02.022Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form.
ALLERY, Cyrille +2 more
core +1 more source