Abstract
The thermal conductivity,K, and the thermal diffusivity,D T , of normal liquid4He have been obtained from the temperature response, ΔT (ω), across a fluid layer of thickness,d, to an ac heat flux,Q(t)=Q 0 exp(iωt). Previous transient heat flux experiments measured the thermal relaxation of the fluid towards equilibrium and assumed the dominance of a single slowest mode. The present ac technique allows measurements under steady-state conditions while driving the system at a single frequency, ω. The response curve for ΔT(ω)/Q 0 yields data forK,D T and the boundary resistance,R b . Boundary effects appear at frequencies higher than τ−1 ≡ DT/d2 where the fluid is unresponsive to bulk heat transport. We use this fact to obtainR b with high accuracy in the normal phase from the high frequency response. In addition, the apparatus permits the fluid thickness,d, to be varied continuously andin situ from zero to 3 mm, allowing for further consistency in the fluid measurements. This work also includes data for the onset of convection whereQ 0>Q c, andQ c corresponds to the heat amplitude at convective onset.
Similar content being viewed by others
References
W. Y. Tam and G. Ahlers,Phys. Rev. B 32, 5932 (1985).
M. Dingus, F. Zhong, and H. Meyer,J. Low Temp. Phys. 65, 185 (1986).
J. A. Lipa and T. C. P. Chui,Phys. Rev. Letters 58, 1340 (1987).
F. Zhong, D. Gestrich, M. Dingus, and H. Meyer,J. Low Temp. Phys. 68, 55 (1987).
J. M. Pfotenhauer, J. J. Niemela, and R. J. Donnelly,J. Fluid Mech. 175, 85 (1987).
G. Ahlers and R. V. Duncan,Phys. Rev. Letters 61, 846 (1988).
Q. Li, T. C. P. Chui, and J. A. Lipa,Physica B 156, 533 (1990).
J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 83, 283 (1991).
M. Tanaka and A. Ikushima,J. Low Temp. Phys. 35, 9 (1979).
M. Dingus, F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 65, 331 (1986).
F. Zhong, J. Tuttle, and H. Meyer,J. Low Temp. Phys. 79, 9 (1990).
J. Tuttle, F. Zhong, and H. Meyer,J. Low Temp. Phys. 82, 15 (1991).
D. Murphy and H. Meyer,J. Low Temp. Phys. 89, 375 (1992).
D. Murphy and H. Meyer,J. Low Temp. Phys. 99, 745 (1995).
D. Murphy and H. Meyer, to be published.
F. London,Superfluids, Vol. 2, Dover Publications, New York (1950).
I. M. Khalatnikov and V. Zharkov,Zh. Eksp. Teor. Fiz. 32, 1108 (1957);Soc. Phys. JETP 5, 905 (1957).
T. P. Ptukha,Zh. Eksp. Teor. Fiz. 40, 1583 (1961);Sov. Phys. JETP 13, 1112 (1961).
D. Frank and V. Dohm,Phys. Rev. Letters 62, 1864 (1989).
A. Griffin,Can. J. Phys. 47, 429 (1969).
C. F. Barenghi, P. G. J. Lucas, and R. J. Donnelly,J. Low Temp. Phys. 44, 491 (1981).
G. Ahlers, P. C. Hohenburg, and M. Lücke,Phys. Rev. A 32: 3519 (1985).
R. P. Behringer,J. Low. Temp. Phys. 81, 1 (1990).
L. D. Landau and E. M. Lifshitz,Fluid Mechanics, pergamon Press, Oxford (1987).
H. Gao, G. Meteaff, and R. P. Behringer,J. Fluid Mech. 174, 209 (1985).
R. P. Behringer and G. Ahlers,J. Fluid Mech. 125, 219 (1982).
D. Murphy and H. Meyer,J. Low Temp. Phys. 97, 489 (1994).
Properties of Muterials at Low Temperatures, V. Johnson (ed.), Pergamon Press, New York (1961).
G. K. White,Experimental Techniques in Low Temperature Physics, Clarendon Press, Oxford (1968).
S. Chandrasekhar,Hydrodynamics and Hydromagnetic Stability, Dover Pub. Inc., New York (1961).
J. S. Olafsen and R. P. Behringer,Phys. Rev. B 52, 61 (1995).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Olafsen, J.S., Behringer, R.P. Dynamic measurements of thermal transport coefficients and boundary resistance I. Normal4He. J Low Temp Phys 106, 673–704 (1997). https://doi.org/10.1007/BF02395931
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02395931