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Finite element simulation of steady state and transient forced convection in superfluid helium
Author(s) -
Bottura L.,
Rosso C.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990830)30:8<1091::aid-fld882>3.0.co;2-i
Subject(s) - transient (computer programming) , linearization , superfluid helium 4 , physics , finite element method , mechanics , superfluidity , momentum (technical analysis) , helium , mathematics , classical mechanics , computer science , nonlinear system , thermodynamics , finance , atomic physics , quantum mechanics , economics , operating system
In this paper, the solution of transient mass, momentum and energy balances in superfluid helium are discussed by means of a finite element algorithm. A simple linearization procedure is used for the non‐linear pseudo‐diffusion term in the energy balance arising because of the unique counterflow heat transport mechanism in superfluid helium. The linearization algorithm is analyzed for accuracy order and stability. The reliability of the algorithm devised is shown in practical tests, comparing the numerical solutions with experimental data available in the literature. Copyright © 1999 John Wiley & Sons, Ltd.