Abstract
The present paper gives an exact solution of the equations describing the flow of a multicomponent gas between two parallel permeable planes, one of which moves relative to the other with constant velocity (i. e., we study a flow of the Couette type).
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Abbreviations
- y:
-
coordinate
- u, v:
-
velocity components
- ρ:
-
density
- ci :
-
mass concentration of i-th component
- Ii :
-
diffusional flux of i-th component
- H:
-
enthalpy
- T:
-
temperature
- m:
-
molecular weight
- μ :
-
viscosity coefficient
- λ:
-
heat conduction coefficient
- cp :
-
mixture specific heat
- Dij :
-
the binary diffusion coefficients
- P:
-
Prandtl number
- Sij :
-
Schmidt number
- N:
-
total number of components
- n:
-
number of components in injected gas
- l :
-
distance between planes
- i, j:
-
component numbers
- w:
-
applies to quantities for y=0
- * :
-
applies to quantities for y=l
References
H. J. Merk, “The macroscopic equations for simultaneous heat and mass transfer in isotropic, continuous and closed systems”, Appl. Scient. Res. A. vol. 8, no. 1, 1958.
G. A. Tirskii, “Conditions at blast surfaces in multicomponent mixtures”, PMM, vol. 25, no. 2, 1964.
V. V. Stepanov, Course in Differential Equations [in Russian], 6th edition, Gostekhteoretizdat, 1953.
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Sovershennyi, V.D. Flow of a multicomponent gas between parallel permeable surfaces. Fluid Dyn 2, 87–89 (1967). https://doi.org/10.1007/BF01024814
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DOI: https://doi.org/10.1007/BF01024814