Showing 71 - 80 of 92
In the framework of our generalization of the Debye-Bueche theory for the frictional properties of dilute polymer solutions we study the intrinsic viscosity. A careful definition of the intrinsic viscosity for polymers with spherically symmetric density distribution is given. The equations are...
Persistent link: https://www.econbiz.de/10010585180
We study the thermal fluctuations of density and flow velocity of particles diffusing in a non-uniform medium with memory character. The fluctuation spectra are derived from the macroscopic equations with the aid of the generalized Nyquist theorem. A comparison is made with other methods.
Persistent link: https://www.econbiz.de/10010585238
We discuss the problem of sedimentation and diffusion in a suspension of interacting spherical particles. We consider external forces acting on the particles and study the linear response of density and current on the basis of the generalized Smoluchowski equation. The theory leads to a natural...
Persistent link: https://www.econbiz.de/10010585248
We present the general solution of the linear Navier-Stokes equation for incompressible viscous flow about a sphere with mixed slip-stick boundary conditions. Explicit results are obtained in cartesian coordinates. The relation with Lamb's method is indicated. We derive expressions for a set of...
Persistent link: https://www.econbiz.de/10010585283
We show that the linear equations of irreversible thermodynamics possess normal mode solutions allowing a simple spectral decomposition of the Green function and of the time-correlation function of thermal fluctuations. In the nondegenerate case it is possible to introduce normal coordinates...
Persistent link: https://www.econbiz.de/10010585399
We evaluate the surface force density induced on a sphere placed in an arbitrary nonstationary flow field of a viscous incompressible fluid for stick boundary conditions. The calculation leads to a generalization of Faxén's theorem to force multipole moments of arbitrary order.
Persistent link: https://www.econbiz.de/10010585445
We derive some properties of the triplet distribution function of a simple fluid in thermal equilibrium. We use the exact second equation of the Yvon-Born-Green hierarchy to express a wavenumber-dependent integral of the triplet distribution function in terms of the pair-correlation function. We...
Persistent link: https://www.econbiz.de/10010585449
We formulate the solution of the linear Navier-Stokes equations for steady, incompressible flow about a spherical particle as an expansion of scattered waves. The amplitudes of the outgoing waves are simply related to a set of spherical force multipoles. These multipoles are found from the...
Persistent link: https://www.econbiz.de/10010585477
We consider the solution of the creeping flow equations for two spherical particles immersed in an incompressible fluid. For an externally imposed linear flow and for given forces and torques we calculate the translational and rotational velocities of the particles and their symmetric force...
Persistent link: https://www.econbiz.de/10010585545
A liquid droplet immersed in a fluid subjected to a temperature gradient tends to move in the direction of higher temperature due to the temperature dependence of surface tension. In a suspension of many droplets the motion is determined by an interplay of hydrodynamic and thermal interactions....
Persistent link: https://www.econbiz.de/10010586375