Showing 1 - 10 of 12
Persistent link: https://www.econbiz.de/10013506587
We solve the creeping flow equations for two spherically symmetric particles immersed in an incompressible fluid. The flow pattern outside the particles is analyzed in a two-center expansion of spherical waves scattered from each of the particles. Hence we construct the friction matrix which...
Persistent link: https://www.econbiz.de/10010873564
Thermal fluctuations in monodisperse colloidal suspensions are investigated on the basis of a linear Langevin approach including nonlocal and memory effects. Special emphasis is laid on suspensions that are driven into a nonequilibrium steady state by pumping the solvent through semipermeable...
Persistent link: https://www.econbiz.de/10010874793
We present a general theorem for the force multipole moments of arbitrary order induced in a spherically symmetric particle immersed in a fluid whose motion satisfies the linear Navier-Stokes equation for steady incompressible viscous flow. The multipole moments are expressed in terms of the...
Persistent link: https://www.econbiz.de/10010872683
We evaluate explicitly through terms of second order in volume fraction the effective elastic moduli derived formally in a preceeding article for a random suspension of spherically symmetric inclusions in a background matrix. By interpreting the earlier formulae in terms of induced stresses on...
Persistent link: https://www.econbiz.de/10010584872
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 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
We study the high frequency effective viscosity of suspensions of spherical particles and of emulsions of spherical fluid droplets. Assuming that in the bulk of the dispersion the distribution of particles on average is uniform and isotropic we derive an exact expression for the effective...
Persistent link: https://www.econbiz.de/10010586834
We review the theory of the extended mobility matrix for N arbitrary, spherically symmetric particles immersed in an incompressible fluid. The two-particle mobility functions can be evaluated to any desired order in the inverse interparticle distance by means of an algebraic computer program...
Persistent link: https://www.econbiz.de/10010586835