On a mathematical formulation of the constituent inversion problem for planetary atmospheres
Perturbation method for inverting radiative heat transfer equation to obtain vertical constituent distribution in planetary atmospheres
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Perturbation method for inverting radiative heat transfer equation to obtain vertical constituent distribution in planetary atmospheres
Hydrodynamic and heat transfer equations for nonisothermal lubricating oils of journal bearing
Hydrodynamic and heat transfer equations for turbulent annular flow
Heat balance equations for optimizing optical coating patterns for spacecraft temperature control system
Nonlinear partial differential heat conduction equation /Poisson type/ obtained by using Kirchhoff transformation
Molecular hydrogen concentration in Venus upper atmosphere by solving numerically heat conduction equation in conjunction with separate diffusion equation for each constituent
Temperature rise of micron sized silver particles on carbon film due to electron beam heating, setting up heat balance equation
Combined radiation and conduction heat transfer equation applied to temperature profile around opaque hollow sphere and in solid condensed gas layer
Second breakdown and other thermal instabilities analyzed by heat flow equation, obtaining stability criteria predicting reduced power dissipation for transistor at low currents
Simultaneous solution of continuity and heat conduction equations for ionospheric plasma consisting of electrons, atomic O ions and neutral gas species, discussing varying solar flux effects
Simultaneous solution of continuity and heat conduction equations for ionospheric electrons, ions and neutral species for studying F region magnetic storm behavior
Lunar temperature prediction with emphasis on variable property models, noting assumptions about physical properties appearing in heat conduction equations
Monte Carlo solutions to Boltzmann equation for heat transfer, shock wave, and nonequilibrium gas flow problems
Heat conduction equation for determining temperature distribution during exothermic chemical reaction
Solar cycle variation of planetary exospheric temperature from heat balance equation solution
A mathematical model derived from the equation of heat conduction was developed to assist in interpreting thermal infrared images acquired from aircraft and spacecraft. The model assumes steady state boundary conditions. It contains parameters of rock and soil properties, atmospheric effects, site location, and season. The results predicted provide an explanation for the thermal differences among granite, limestone, and dolomite recorded in the December 1968 daytime and predawn flights over the Mill Creek, Oklahoma test site, during which representative thermal inertia and albedo values were used. A second test of the model made use of data acquired during the June 1970 predawn overflight of Mill Creek. A simple model of transient heating of the ground was constructed as an extension of the overall model, in order to examine the effects of atmospheric perturbations. The results obtained are consistent with those of ground observations made at the time of the overflight.
If solar arrays on solar-electric spacecraft protrude into the exhaust hemisphere of the electric thrusters, they will receive fluxes (usually small) of both propellant and accelerator grid atoms. Unlike propellants, grid materials have low vapor pressures and will not reevaporate. An analysis is presented of degradation in the optical, thermal, and electrical performance of solar cells resulting from thin deposits of grid material (aluminum and molybdenum) on various array surfaces. The classical optical theory of thin films, heat balance equations, and a typical relationship for solar cell efficiency vs temperature are used to compute curves showing optical properties, temperature, and power output as functions of film thickness. The results compare favorably with available experimental data. It is shown that a few monolayers of metal deposition on the illuminated surface will seriously degrade cell performance. A means of estimating the arrival rate of these materials is provided.
The nonstationary convection that arises due to thermal instability in the envelopes of lower Main Sequence stars (and the sun in particular) is investigated. The convection that arises in the envelopes as a result of thermal instability is of nonstationary turbulent nature. It is shown that construction of a consistent model of the zones of turbulent convection in the stars requires the use of the complete heat flux equation with consideration of the terms that appear because of turbulence. Expressions for these additional terms in terms of averaged characteristics of the motion and eddy viscosity coefficients are derived on the basis of the Prandtl-Wasiutinsky theory.