Premium
The finite element method applied to ideal gaseous mixtures
Author(s) -
Secrest B. G.,
Boyd W. W.
Publication year - 1972
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620040304
Subject(s) - finite element method , isothermal process , compressibility , mixed finite element method , mechanics , extended finite element method , momentum (technical analysis) , ideal gas , boundary value problem , flow (mathematics) , diffusion , smoothed finite element method , thermodynamics , materials science , boundary knot method , physics , mathematics , mathematical analysis , boundary element method , finance , economics
The finite element technique is extended to an ideal gaseous mixture to study diffusion of several gaseous species in a carrier gas under various geometries and flow conditions. This is accomplished by obtaining the finite element analog of the balance of mass for each species, along with the corresponding equations for the balance of mass, momentum and energy for the mixture. Numerical results are obtained for a steady‐state, incompressible, isothermal, viscous mixture of two gases for several boundary conditions. Favourable agreement is obtained between the finite element results and analytical solutions.