Kapitza resistance: axiomatic acoustic mismatch theory with loss

Journal Article · Mon Jan 01 04:00:00 EST 1979 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00118547· OSTI ID:6323727

Strandberg, M W.P.; Fox, L R

We examine the anatomy of the quantitative properties of thermal transport across a solid--liquid boundary as it is described by acoustic mismatch theory. The single parameter, the Kapitza resistance, is a function of four loss parameters and one thermal transport parameter, the thermal diffusivity of the fluid. The loss parameters are to be determined from the dispersion relations for phonons at the peak of the thermal excitation in the material. The temperature dependence of the Kapitza resistance depends on the variation of the phonon excitation in the material with temperature, the familiar temperature-cubed factor, and the variation of the loss factors with temperature and frequency for phonons at the thermal peak, and the variation of the diffusivity with temperature. Since these parameters are undetermined and experimentally rather inaccessible, we conclude that for the present the Kapitza resistance must be viewed as a technological heat transport parameter. Some discussion is given of the part played by second sound in helium II in the surface heat transport process.

• Research Organization: Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts
• OSTI ID: 6323727
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 34:1; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DISPERSION RELATIONS
ENTROPY
EVEN-EVEN NUCLEI
FLUIDS
HELIUM 4
HELIUM II
HELIUM ISOTOPES
INTERFACES
ISOTOPES
KAPITZA RESISTANCE
LIGHT NUCLEI
NUCLEI
PHONONS
PHYSICAL PROPERTIES
QUANTUM FLUIDS
QUASI PARTICLES
SECOND SOUND
STABLE ISOTOPES
TEMPERATURE DEPENDENCE
THERMAL BOUNDARY RESISTANCE
THERMODYNAMIC PROPERTIES