2005
DOI: 10.1142/p387
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Introduction to Molecular Beams Gas Dynamics

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Cited by 52 publications
(40 citation statements)
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“…With the measured densities, n m , a total of N 1 linear algebraic equations about 1 -5 , are properly constructed; Step 7: for each of the N 2 measured number fluxes along the X-direction, (nU) m , by using the θ 1 and θ 2 for each point, and the seven guessed parameters, n 0g , S 0g , n bg , S bg , α 0g , T 0g and T bg , a set of coefficients B 1 -B 7 can be computed, and a guessed jet number flux (nU) jg can also be computed by using Equation (3). A total of N 2 linear algebraic equations about 1 -7 are properly constructed; Step 8: for each of the N 3 measured number fluxes along the Y-direction, (nV) m , by using the θ 1 and θ 2 , and the seven guessed parameters, n 0g , S 0g , n bg , S bg , α 0g , T 0g and T bg , seven coefficients C 1 -C 7 can be computed.…”
Section: Linearized Governing Equations For the Density And Number Flmentioning
confidence: 99%
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“…With the measured densities, n m , a total of N 1 linear algebraic equations about 1 -5 , are properly constructed; Step 7: for each of the N 2 measured number fluxes along the X-direction, (nU) m , by using the θ 1 and θ 2 for each point, and the seven guessed parameters, n 0g , S 0g , n bg , S bg , α 0g , T 0g and T bg , a set of coefficients B 1 -B 7 can be computed, and a guessed jet number flux (nU) jg can also be computed by using Equation (3). A total of N 2 linear algebraic equations about 1 -7 are properly constructed; Step 8: for each of the N 3 measured number fluxes along the Y-direction, (nV) m , by using the θ 1 and θ 2 , and the seven guessed parameters, n 0g , S 0g , n bg , S bg , α 0g , T 0g and T bg , seven coefficients C 1 -C 7 can be computed.…”
Section: Linearized Governing Equations For the Density And Number Flmentioning
confidence: 99%
“…For many engineering applications under near vacuum conditions, such as molecular beams [1], materials processing inside vacuum chambers [2], and electric propulsion (EP) devices in a space environment [3], there are always dilute background flows. For plume investigations, which are important to the rocket industry, the cosine law model [4] is a good example for modeling the background flow effects.…”
Section: Introductionmentioning
confidence: 99%
“…In other words, due to the more ordered velocity distribution established by the stagnation temperature inside the BGC cell, conversion into forward velocity of the beam will occur to a much lower extent. A quantitative treatment starts with the Bernoulli equation describing a stationary, adiabatic and irrotational flow of a compressible fluid in the absence of gravity, viscosity and shock waves [32]. Written in differential form for a fluid unit mass, this reads as u du + dp…”
Section: Further Reduction Of the Beam Temperaturementioning
confidence: 99%
“…The Kn number is usually defined as Kn = λ/L, where λ is the molecule mean free path and L is a characteristic length. Several examples include atomic/molecular beams [7,8], materials processing inside vacuum chambers [9], rocket plume effects on spacecraft solar panels [10], and lunar landing vehicles and missions [11][12][13][14][15][16]. In fact, if the exit speed is high relative to the mean thermal speed, molecules leaving the nozzle exit quickly, barely having time for collisions.…”
Section: Introductionmentioning
confidence: 99%