Modeling of CollisionsGauthier-Villars, 1998 - 222 من الصفحات |
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الصفحة 35
... perturbation equations ( 3-4 ) give the fluid equations ( 1-2 ) to lowest order , including perturbed collision terms , but without viscosity nor heat flux : mana a ( a Ət · + Ua v ) na | na + nɑ ▽ · ua = 0 , • ( / + Ua · V ) ua + 3 მ ...
... perturbation equations ( 3-4 ) give the fluid equations ( 1-2 ) to lowest order , including perturbed collision terms , but without viscosity nor heat flux : mana a ( a Ət · + Ua v ) na | na + nɑ ▽ · ua = 0 , • ( / + Ua · V ) ua + 3 მ ...
الصفحة 36
... perturbation is always larger than the " unperturbed " Maxwellian at very high velocities . This perturbation failure is actually not important if it happens at velocities that are so large that there is little effect upon moments and ...
... perturbation is always larger than the " unperturbed " Maxwellian at very high velocities . This perturbation failure is actually not important if it happens at velocities that are so large that there is little effect upon moments and ...
الصفحة 59
... perturbation equations The general perturbation equation ( 3-14 ) is finally split into three parts : scalar , vectorial , and tensorial . Scalar perturbation equations The scalar equations set is 1 1 a Σ sco == αβ 3naTa Σβαβ 2 მა , 3 ...
... perturbation equations The general perturbation equation ( 3-14 ) is finally split into three parts : scalar , vectorial , and tensorial . Scalar perturbation equations The scalar equations set is 1 1 a Σ sco == αβ 3naTa Σβαβ 2 მა , 3 ...
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appear approximation assumed atomic average Boltzmann Equation calculation chapter charge classical close collision frequencies collision terms collisional computed conservation consider correct Coulomb logarithms coupled defined density depend developed diffusion distribution function effect electrons energy equal equilibrium estimate existence expressions finally fluid flux formula frame given gives heat heavy hydrodynamic integrals interaction ion species ionic kinetic light limit linear mass Maxwellian mean mean velocity momentum multi-fluid neutral Note numerical obtained operator parameter particle particular perturbation perturbation equations Phys physics plasma pressure problem properties quantities quantum quantum mechanical reduced reference relations relative satisfies scalar single solution solved temperature tensor theory thermal transport coefficients transport equations vector αβ Μα