Calculations were made of the anisotropic translation drag coefficients of rigid assemblies of spheres in a variety of arrays, including lines, circular equilateral polygons, disks (polygons with a central sphere), and stacked squares. The objective was to compare results obtained using polynomial expansions for the two-body hydrodynamic interaction tensor truncated at the (a/r) 1 , (a/r)3, (a/...

Recent studies of thermal transport in nanomaterials have demonstrated the breakdown of Fourier's law through observations of ballistic transport. Despite its unique features, another instance of the breakdown of Fourier's law, hydrodynamic phonon transport, has drawn less attention because it has been observed only at extremely low temperatures and narrow temperature ranges in bulk materials. ...

The unicellular green alga Chlamydomonas swims with two flagella that can synchronize their beat. Synchronized beating is required to swim both fast and straight. A long-standing hypothesis proposes that synchronization of flagella results from hydrodynamic coupling, but the details are not understood. Here, we present realistic hydrodynamic computations and high-speed tracking experiments of s...

the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

mathematical simulation of flow toward drains is an important and indispensable stage in drainage design and management. many related models have been developed, but most of them simulate the saturated flow toward drains without a due consideration of the unsaturated zone. in this study, the two dimensional differential equation governing saturated and unsaturated flow in porous media is numeri...

In the water column, planktonic copepods encounter small-scale hydrodynamic disturbances generated by fellow zooplankters. Our question is whether or not the copepods can distinguish between hydrodynamic disturbances created by predators, prey, conspecifics and/or mates. We used a Schlieren optical system with a density gradient in the water volume and filmed at 48 frames per second to record t...

This paper presents a simplified, tutorial approach to determining the gains of inertial confinement fusion ~ICF! targets, via a basic, zero-dimensional ~‘‘0-D’’!, energy ‘‘bookkeeping’’ of input ~parametrized by ICF drivers’ coupling efficiencies to the target, and subsequent hydrodynamic efficiencies of implosion! versus output ~thermonuclear burn efficiency and target fuel mass!. Physics iss...

From the initial time dependence of the dynamic structure factor S{k,t), we obtain a general form, valid through second order in the concentration, for the mutual diffusion coefficient J) m' All effects of direct and hydrodynamic interactions (other than dynamic friction) are taken into account, including the three-point "Oseen" hydrodynamic tensor Tij" whose analytic form is obtained here for ...

We present a scheme for coarse-graining hydrodynamic interactions in an isolated flexible homopolymer molecule in solution. In contrast to the conventional bead-spring model that employs spherical beads of fixed radii to represent the hydrodynamic characteristics of coarse-grained segments, we show that our procedure leads naturally to a discrete model of a polymer molecule as a chain of orient...

MARTIN Z. BAZANT AND OLGA I. VINOGRADOVA Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA A. N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31 Leninsky Prospect, 119991 Moscow, Russia CNRS UMR Gulliver 7083 and PMMH 7636, École Supérieure de Physique et de Chimie Industrielles, 10 rue Vauquelin, F-75005 Par...