Index and consistency analysis for DAE (differential-algebraic equation) systems for Stefan-Maxwell diffusion-reaction problems

Technical Report · Tue Mar 06 04:00:00 EST 1990

DOI:https://doi.org/10.2172/6934906· OSTI ID:6934906

Hindmarsh, A C

The paper by Ilindmarsh and Johnson discusses the formulation and solution of certain reaction-diffusion systems involving Stefan-Maxwell diffusion. This report is intended to provide supportive analytical results concerning the systems of differential-algebraic equations (DAEs) treated in that paper. The systems considered have only one reactant fluid, one product fluid, and one reactant solid; this restricted problem was chosen because the various solvability issues can be settled quite thoroughly. Of particular interest is the index of the DAE systems, the evaluation of consistent initial conditions, and the conservation of the sum of fluid mole fractions. 3 refs.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• Sponsoring Organization: DOE/DP
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6934906
• Report Number(s): UCRL-ID-103198; ON: DE90008188
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ANALYTICAL SOLUTION
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
DIFFUSION
EQUATIONS
FLOW MODELS
FLUID FLOW
ISOTHERMS
MATHEMATICAL MODELS
MATRICES
SIMULATION