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Non-equilibrium fluid dynamics-laminar flow over a flat plate

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Zusammenfassung

Es werden die grundlegenden Wechselwirkungen in strömenden Mischungen und Suspensionen untersucht, deren einzelne Komponenten nicht miteinander im thermischen Gleichgewicht sind und auch verschiedene Geschwindigkeiten besitzen. Die Untersuchung erfolgt am Beispiel der Laminarströmung über eine ebene Platte. Energie- und Impuls-Relaxation und die Diffusivität der einzelnen Komponenten werden berücksichtigt. Dabei werden gewisse Ähnlichkeitsgesetze gewonnen. Die Theorie eignet sich als Ausgangspunkt für eine tiefer in die Einzelheiten eindringende Analyse. Ihre Ergebnisse sind anwendbar auf Fälle wie Wasserstoff-Uranmischungen, Aerosol-Suspensionen und schwach ionisierte Gase.

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Abbreviations

A :

0.332

c t :

constant as defined

c p :

specific heat at constant pressure

C n :

coefficients of series expansion of Blasius solution

D i :

diffusivity of componenti

f :

Blasius function

g, m, h, t g_, m_, h_, t_ :

functions for velocities, density and temperature distributions

n :

number density

N Le :

Lewis number

N Pr :

Prandtl number

N Sc :

Schmidt number

T :

temperature

u, v :

components of velocity along and normal to a flat plate

U :

free stream velocity

x, y :

corrdinates along and normal to a flat plate

α:

thermal diffusivity

δ, δ i :

boundary layer thickness for the predominating component and componenti

δ g , δ h , δ t :

deviation due to approximation in Blasius series

ϰ:

thermal conductivity

η, ξ:

transformed coordinates or similarity parameter

μ:

viscosity

ν:

kinematic viscosity

ϱ:

density

τ i :

relaxation time for momentum transfer from the predominating component to componenti

θ i :

relaxation time for energy transfer from the predominating component to componenti

*:

dimensionless quantities as defined

a, b, c, ... :

for parts of functions of similar order

i :

for componenti of mixture

0, 1, 2, ...:

order of perturbation or as noted

∞:

for state at infinity

mixture :

for the overall mixture

w :

for the wall

t :

for temperature

tr :

for transition

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, University of Illinois, Urbana, Illinois, USA

    shao L. Soo

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  1. shao L. Soo
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Soo, s.L. Non-equilibrium fluid dynamics-laminar flow over a flat plate. Journal of Applied Mathematics and Physics (ZAMP) 19, 545–563 (1968). https://doi.org/10.1007/BF01594963

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  • DOI: https://doi.org/10.1007/BF01594963

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