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An Introduction to Fluid Dynamics

- G. Hunt, G. Batchelor
- Physics
- 1 May 1968

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 method… Expand

The stress system in a suspension of force-free particles

- G. Batchelor
- Physics
- 29 April 1970

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 external… Expand

The effect of Brownian motion on the bulk stress in a suspension of spherical particles

- G. Batchelor
- Physics
- 1 November 1977

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, in… Expand

Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity

- G. Batchelor
- Physics
- 1959

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 the… Expand

An Introduction to Fluid Dynamics

- G. Batchelor
- Computer Science, Mathematics
- 1 October 1969

TLDR

Slender-body theory for particles of arbitrary cross-section in Stokes flow

- G. Batchelor
- Physics
- 26 November 1970

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 the… Expand

The determination of the bulk stress in a suspension of spherical particles to order c 2

- G. Batchelor, J. T. Green
- Physics
- 12 December 1972

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 volume… Expand

NOTE ON A CLASS OF SOLUTIONS OF THE NAVIER-STOKES EQUATIONS REPRESENTING STEADY ROTATIONALLY-SYMMETRIC FLOW

- G. Batchelor
- Physics
- 1951

Sedimentation in a dilute dispersion of spheres

- G. Batchelor
- Physics
- 28 March 1972

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 spheres… Expand

Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity

- G. Batchelor, I. Howells, A. Townsend
- Physics
- 1959

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-number… Expand

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