The superfluid diffusion equation S(T)(@T/@t) = nabla ter dot (K(T)( nabla T) sup 1/3 )
This report deals with the superfluid diffusion equation, S(T)({partial derivative}T/{partial derivative}t) = {nabla}{center dot}(K(T)({nabla}T){sup 1/3}), which describes heat transport in turbulent helium-II (superfluid helium). Three methods of solution -- the method of similarity, the variational method, and the method of maximum/minimum principles -- are applied to this equation. The solutions discovered are helpful in addressing the use of helium-II in superconducting magnets and other applications. 22 refs., 23 figs., 3 tabs.
- Research Organization:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- DOE/ER
- DOE Contract Number:
- AC05-84OR21400
- OSTI ID:
- 6702252
- Report Number(s):
- ORNL/TM-11480; ON: DE90014788; TRN: 90-027170
- Country of Publication:
- United States
- Language:
- English
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+1 more
Related Subjects
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SUPERCONDUCTIVITY AND SUPERFLUIDITY
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HELIUM II
HEAT TRANSFER
SUPERFLUIDITY
PARTIAL DIFFERENTIAL EQUATIONS
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TEMPERATURE DISTRIBUTION
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ELECTROMAGNETS
ENERGY TRANSFER
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EVEN-EVEN NUCLEI
FLUID FLOW
FLUIDS
HELIUM 4
HELIUM ISOTOPES
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MAGNETS
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QUANTUM FLUIDS
STABLE ISOTOPES
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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
HELIUM II
HEAT TRANSFER
SUPERFLUIDITY
PARTIAL DIFFERENTIAL EQUATIONS
DIFFUSION
NUMERICAL SOLUTION
PHASE DIAGRAMS
SUPERCONDUCTING MAGNETS
TEMPERATURE DEPENDENCE
TEMPERATURE DISTRIBUTION
TURBULENT FLOW
VARIATIONAL METHODS
DIAGRAMS
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ENERGY TRANSFER
EQUATIONS
EQUIPMENT
EVEN-EVEN NUCLEI
FLUID FLOW
FLUIDS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MAGNETS
NUCLEI
QUANTUM FLUIDS
STABLE ISOTOPES
SUPERCONDUCTING DEVICES
700202* - Fusion Power Plant Technology- Magnet Coils & Fields
640450 - Fluid Physics- Superfluidity
990200 - Mathematics & Computers