Ronald L. Fox

Errata: Solution for Turbulent Correlations Using Multipoint Distribution Functions

A solution for the time evolution of the velocity correlation function in homogeneous isotropic turbulence is obtained using multipoint distribution functions. The dependence of the velocity correlation function on the fluid parameters is calculated for a simple initial condition.

Multipoint distribution calculation of the isotropic turbulent energy spectrum

A solution for the dynamical behavior of the energy spectrum for a homogeneous isotropic fluid is obtained from the equations for the turbulent multipoint distribution functions. The calculated spectrum shows reasonable agreement with experimental data.

EFFECT OF INELASTIC COLLISIONS ON ELECTRON TRANSPORT COEFFICIENTS.

A method is described for determining the maximum contribution of inelastic collisions to the transport properties of electrons in neutral and partially ionized gases. The inelastic collision cross sections are obtained from asymptotic expressions. The calculation was carried out for electron diffusion in neutral argon and lithium vapor and for the electrical conductivity of argon. The inelastic contribution to the diffusion coefficient displays a similar behavior for both the gases considered. The effect of inelastic collisions on the electrical conductivity was found to be less than 1% over the temperature range from 5000°K to 25 000°K.

Multipoint distribution function hierarchy for compressible turbulent flow

The hierarchy of equations for the multipoint distribution functions is developed for compressible turbulent flow. The compressible equations reduce to previously published relations for incompressible fluids with constant transport under the appropriate approximations. Expressions for other types of incompressible fluids are also shown to be derivable from the compressible relations.

Multipoint distribution calculation of the isotropic turbulent energy spectrum using self‐consistent initial conditions

The prediction of the decay of the energy spectrum obtained by a solution of the multipoint equations is improved by introducing a self‐consistent initial condition in order to eliminate the previously required truncated series expressions for the initial distributions.

Development Of Technology For Downhole Steam Production

Two concepts for down-hole production of steam for drive operations have been selected for comparative development. The 2 designs differ in method of transferring heat from hot combustion gases to produce steam. A low pressure combustion design transfers energy to water through a heat exchanger thus enabling the combustion process to be conducted at a pressure less than the injection pressure; a high pressure combustion design mixes the combustion gases directly with water, resulting in the injection of steam and combustion gases into the reservoir. The comparative development program has included analysis of energy efficiency, computational examination of recovery, core recovery experiments, and field evaluation.

Completion of the multi‐point turbulent equations using an approximation to the mean value theorem

An approximation to the form of the multi‐point interactions is combined with the mean value theorem and coincident properties of the distribution functions to produce a closed set of equations. The solution for isotropic flow is similar to that previously obtained by discarding three‐point interactions.

Form of Inelastic Transport Cross Sections

The form of the inelastic transport cross sections is developed from the macroscopic transport equations. The diffusion cross sections for the Lyman α transitions in hydrogen are discussed.