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An Introduction to Fluid Dynamics
This brief paper derives Euler’s equations for an inviscid fluid, summarizes the Cauchy momentum equation, derives the Navier-Stokes equation from that, and then talks about finite difference methodExpand
The stress system in a suspension of force-free particles
The purpose of the paper is to consider in general terms the properties of the bulk stress in a suspension of non-spherical particles, on which a couple (but no force) may be imposed by externalExpand
The effect of Brownian motion on the bulk stress in a suspension of spherical particles
The effect of Brownian motion of particles in a statistically homogeneous suspension is to tend to make uniform the joint probability density functions for the relative positions of particles, inExpand
Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
When some external agency imposes on a fluid large-scale variations of some dynamically passive, conserved, scalar quantity θ like temperature or concentration of solute, turbulent motion of theExpand
An Introduction to Fluid Dynamics
TLDR
The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade. Expand
Slender-body theory for particles of arbitrary cross-section in Stokes flow
A rigid body whose length (2l) is large compared with its breadth (represented by R0) is straight but is otherwise of arbitrary shape. It is immersed in fluid whose undisturbed velocity, at theExpand
The determination of the bulk stress in a suspension of spherical particles to order c 2
An exact formula is obtained for the term of order c 2 in the expression for the bulk stress in a suspension of force-free spherical particles in Newtonian ambient fluid, where c is the volumeExpand
Sedimentation in a dilute dispersion of spheres
The dispersion considered consists of a large number of identical small rigid spheres with random positions which are falling through Newtonian fluid under gravity. The volume fraction of the spheresExpand
Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity
The analysis reported in Part 1 is extended here to the case in which the conductivity κ is large compared with the viscosity ν, the conduction ‘cut-off’ to the θ-spectrum then being at wave-numberExpand
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