Transient heat transfer in superfluid helium. Part II

Conference · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5836666

Dresner, L

Three classical problems associated with the ordinary diffusion equation concern the temperature in: (1) a half-space with clamped heat flux at the free face, (2) a half-space with clamped temperature at the free face, and (3) an infinite medium with a pulsed plane heat source. These problems are also important for the nonlinear diffusion equation based on the Gorter-Mellink relation, which describes heat transport in superfluid helium. A similarity solution to problem (1), the clamped-flux problem, has already been found and compared, with good agreement, with experimental data of van Sciver. (A similarity solution is one in which the profiles of temperature rise ..delta..T versus distance Z at different times t can be obtained from one another by suitable (different) stretching of the temperature and distance axes.) In this paper, similarity solutions are given in analytic form to problems (2) and (3), the clamped-temperature and pulsed-source problems.

• Research Organization: Oak Ridge National Lab., TN (USA)
• DOE Contract Number: W-7405-ENG-26
• OSTI ID: 5836666
• Report Number(s): CONF-830776-1; ON: DE83015767
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COOLANTS
DIFFUSION
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ENERGY TRANSFER
EQUIPMENT
EVEN-EVEN NUCLEI
FLUIDS
HEAT TRANSFER
HELIUM 4
HELIUM II
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MAGNETS
NUCLEI
QUANTUM FLUIDS
STABLE ISOTOPES
SUPERCONDUCTING DEVICES
SUPERCONDUCTING MAGNETS
SUPERFLUIDITY
TRANSIENTS