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Title: The thermal transport properties of dilute sup 3 He- sup 4 He mixtures near the superfluid transition temperatures

Miscellaneous ·
OSTI ID:5246938

Measurements of the average thermal conductivity, {kappa}{sub exp} = hQ/{Delta}T, were made for dilute mixtures of {sup 3}He in {sup 4}He around their superfluid transitions. The temperature difference was measured with germanium resistors across a layer of fluid mixture. Here c and X are mass and molar concentration respectively. The ratio is k{sub T}* in superfluid phase and k{sub T} in normal fluid phase. The measurements covered the reduced temperature range of 10{sup {minus}6} {le} {vert bar}{var epsilon} = (T - T{sub {lambda}})/T{sub {lambda}}{vert bar} < 0.3, and the heat current range up to 46{mu}W/cm{sup 2}. The anomalous Kapitza boundary resistance for {sup 4}He was observed. The result was consistent with those by Duncan and Ahlers. The {kappa}{sub eff} data were consistent with those by Dingus et al, which deviate from the theoretical prediction of {kappa}{sub eff} {approximately} X{sup {minus}1}. The deviation was less than that by Dingus et al.. The finite heat effect of {kappa}{sub exp} was observed, and it was internally consistent with the deviation as predicted by Behringer. The dilute mixtures offer an ideal test for Khalatnikov's theory of two fluid model. The disagreement for {kappa}{sub eff} and k{sub T}* with the theory indicates that further improvement is needed in the two fluid model especially for very small X. The size and geometry of the sample may have to be considered in order to compare experimental results with the theory.

Research Organization:
Duke Univ., Durham, NC (United States)
OSTI ID:
5246938
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English