Condensation velocity distribution

Global velocity distribution behind flame front. Upward propagation in 5.15% methane/air mixture, (a) vector map, (b) and (c) scalar maps of axial and radial velocity components, respectively. Spots are caused by condensation of water vapor on the glass walls. 

An early paper by Sun and Rice considered the relaxation rate of a diatomic molecule in a one-dimensional monatomic chain. An analysis similar to the Slater theoiy of unimolecular reaction was used to obtain the frequency of hard repulsive core-core collisions, and then (in the spirit of the IBC model) this was multiplied by the transition probability per collision from perturbation theory and averaged over the velocity distribution to obtain the population relaxation rate. This was apparently the first prediction that condensed-phase relaxation could occur on a time scale as long as seconds. 

In this paper we consider the problem when evaporation takes place from the condensed phase and investigate the time development of the disturbance, especially the propagation and decay of the discontinuity of the velocity distribution function, and the steady behavior of the evaporation from a plane condensed phase. The relations among the variables at Infinity and on the condensed phase in the steady evaporation serve as the boundary condition for the... 

So far we discussed the problem under the conventional boundary condition on the condensed phase, where the velocity distribution function of the molecules leaving the condensed phase is independent of the velocity distribution of the molecules incident on the condensed phase and its shape is the half of a stationary Maxwellian. Now we Investigate the effect of different boundary conditions at the condensed phase on the steady evaporation. 

Next we consider the effect of the shape of the velocity distribution of the leaving molecules on the steady evaporation. Let the velocity distribution of the molecules leaving the condensed phase be the corresponding part of the Maxwellian with pressure p, temperature , and velocity (u, 0, 0), and put... 

However, even at relatively low film Reynolds numbers, the assumption that the condensate layer is in laminar flow is open to some question. Experiments have shown that the surface of the film exhibits considerable waviness (turbulence). This waviness causes increased heat transfer rates. Better heat transfer correlations for vertical condensation were presented by Dukler in 1960. He obtained velocity distributions in the liquid film as a function of the interfacial shear (due to the vapor velocity) and film thickness. From the integration of the velocity and temperature profiles, liquid film thickness and point heat-transfer coefficients were computed. According to the Dukler development, there is no... 

At low laser flux, the mateiieil is heated by the absorbed laser energy and evaporates or sublimates. At high laser flux, the material is typically converted to a plasma As a result, a supersonic jet of particles (plume) with composition similar to the composition of the material is ejected normal to the taiget surface. The plume, similar to the rocket exhaust, expands away from the taiget with a strong forward-directed velocity distribution of the different particles. The ablated species condense on the substrate placed opposite to the taiget... 

Dukler Theory The preceding expressions for condensation are based on the classical Nusselt theoiy. It is generally known and conceded that the film coefficients for steam and organic vapors calculated by the Nusselt theory are conservatively low. Dukler [Chem. Eng. Prog., 55, 62 (1959)] developed equations for velocity and temperature distribution in thin films on vertical walls based on expressions of Deissler (NACA Tech. Notes 2129, 1950 2138, 1952 3145, 1959) for the eddy viscosity and thermal conductivity near the solid boundaiy. According to the Dukler theoiy, three fixed factors must be known to estabhsh the value of the average film coefficient the terminal Reynolds number, the Prandtl number of the condensed phase, and a dimensionless group defined as follows ... 

Piping to Burners - First and second stage piping and headers, as well as the burner lines themselves, are sized to minimize pressure drop and velocity effects. Thus, maldistribution of flow to the burners will be minimized. The burner lines are fabricated from standard 1(X) mm pipe, and are arranged in a split grid layout with distribution headers and split feed lines on opposite sides, for both first and second stage burners. First and second stage headers must be sloped so that any condensate will drain back to the seal drums. However, the burner lines must be accurately installed in a horizontal plane. 

Clearly, the plot of Figure 8-3 contains information about the distribution of kinetic energies. From the rate of rotation of the discs and the distance between them we can calculate the velocity an atom must have to condense on a particular pie slice. From the atomic mass and its velocity, we learn the atom s kinetic energy. Figure 8-4 shows the result. At a temperature Tt... 

Traditionally, residential mechanical equipment has been treated as independent devices that have little or no impact on the rest of the building other than the obvious stated purpose. Bath fans, dryers, and kitchen ranges are assumed to exhaust moisture, lint, and cooking by-products, but to have no impact on the performance of chimneys. Instances have been reported that show that this is not the case in some houses where the fireplaces and other combustion appliances backdraft52 when one or more of the exhaust fans are in operation. Houses have been reported in which the operation of exhaust devices increases the radon concentration.53 Houses have been found in which pressure differences between different rooms of the house caused by HVAC distribution fans have increased energy costs,54 occupant discomfort,54,55 condensation of the building shell,55 and radon concentrations in parts of the houses.29,56 All of these effects are the result of air pressure relationships created by the interaction of equipment, indoor/outdoor temperature differences, wind velocity, and moisture and radon availability. 

It has been reported for many years that condensation nuclei can be produced by ionizing radiation. Recent studies have improved the measurement of the activity size distribution of these ultrafine particles produced by radon and its daughters (Reineking, et al., 1985 Knutson, et al., 1985). It seems that the Po-218 ion is formed by the radon decay, is neutralized within a few tens of milliseconds, and then attached to an ultrafine particle formed by the radiolysis generated by the polonium ion recoil. Although there will be radiolysis along the alpha track, those reactions will be very far away (several centimeters) from the polonium nucleus when it reaches thermal velocity. The recoil path radiolysis therefore seems to be the more likely source of the ultrafine particles near enough to the polonium atom to rapidly incorporate it. 

For a molecule at RTP this is of the order of a few hundred molecular diameters. In our ideal gas there is a distribution of velocities of the molecules about a mean value c. The mean free path defines a length scale in gases. As the density of the gas is increased and the mean free path approaches the molecular dimensions, a short-range molecular order develops and the material condenses to a liquid. The diffusional length scale is now much shorter range as a molecule encounters its... 

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