skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Temperature Dependence of the Gorter-Mellink Exponent m Measured in a Channel Containing He II

Abstract

Steady state heat transport through He II was investigated. The exponent m in the Gorter-Mellink equation which gives heat flux dependence of the temperature gradient was measured in a wide range of heat flux. Our results indicate that there is no heat flux dependency of the exponent m in the heat flux region of our measurement. The exponent m is 3.4 at temperatures much lower than the lambda point and decreases down to 3.3 as the temperature approaches the lambda point.

Authors:
; ; ;  [1];  [2]
  1. TML, National Institute for Materials Science, Tsukuba, Ibaraki, 305-0003 (Japan)
  2. Taiyo Nippon Sanso Co. Ltd., Shinagawa-ku, Tokyo, 142-8558 (Japan)
Publication Date:
OSTI Identifier:
20800216
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 823; Journal Issue: 1; Conference: Cryogenic engineering conference, Keystone, CO (United States), 29 Aug - 2 Sep 2005; Other Information: DOI: 10.1063/1.2202439; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; HEAT FLUX; HEAT TRANSFER; HELIUM II; LAMBDA POINT; NUMERICAL ANALYSIS; STEADY-STATE CONDITIONS; SUPERFLUIDITY; TEMPERATURE DEPENDENCE; TEMPERATURE GRADIENTS

Citation Formats

Sato, A., Maeda, M., Dantsuka, T., Yuyama, M., and Kamioka, Y. Temperature Dependence of the Gorter-Mellink Exponent m Measured in a Channel Containing He II. United States: N. p., 2006. Web. doi:10.1063/1.2202439.
Sato, A., Maeda, M., Dantsuka, T., Yuyama, M., & Kamioka, Y. Temperature Dependence of the Gorter-Mellink Exponent m Measured in a Channel Containing He II. United States. doi:10.1063/1.2202439.
Sato, A., Maeda, M., Dantsuka, T., Yuyama, M., and Kamioka, Y. Thu . "Temperature Dependence of the Gorter-Mellink Exponent m Measured in a Channel Containing He II". United States. doi:10.1063/1.2202439.
@article{osti_20800216,
title = {Temperature Dependence of the Gorter-Mellink Exponent m Measured in a Channel Containing He II},
author = {Sato, A. and Maeda, M. and Dantsuka, T. and Yuyama, M. and Kamioka, Y.},
abstractNote = {Steady state heat transport through He II was investigated. The exponent m in the Gorter-Mellink equation which gives heat flux dependence of the temperature gradient was measured in a wide range of heat flux. Our results indicate that there is no heat flux dependency of the exponent m in the heat flux region of our measurement. The exponent m is 3.4 at temperatures much lower than the lambda point and decreases down to 3.3 as the temperature approaches the lambda point.},
doi = {10.1063/1.2202439},
journal = {AIP Conference Proceedings},
number = 1,
volume = 823,
place = {United States},
year = {Thu Apr 27 00:00:00 EDT 2006},
month = {Thu Apr 27 00:00:00 EDT 2006}
}
  • Heat transport in the practical range of fluxes (/approximately/1 W/cm/sup 2/) obeys the nonlinear Gorter-Mellink relation /rvec q/ = -K(/del/T)/sup 1/3/. In this paper, we study steady-state Gorter- Mellink heat transport through a plane duct of nonuniform cross section and transverse to a bank of parallel tubes with adiabatic surfaces ranged in either a square or triangular lattice. Both problems are solved by the method of complementary variational principles. 5 refs., 2 figs., 1 tab.
  • Gorter--Mellink counterflow limits (at zero net mass flow) have been measured from 0.01 bar to about 3 bar in relatively wide ducts of rectangular (0.05 cm wide) and circular cross section (0.446 cm inner diameter). The observed limiting temperatures did not show metastable superheating of He II. Instead, they were controlled by the equilibrium state phase boundaries of the superfluid $sup 4$He. Small departures from the related maximum temperature differences were in part caused by fluid acceleration and finite thermometer sizes, respectively. The measured limiting heat fluxes agree with the prediction based on the equilibrium state limits of the Gorter--Mellinkmore » temperature differences. (auth)« less
  • Experiments on the flow of He II under high over all pressure through a thermally isolated system consisting of a superleak, a chamber, and a capillary in series are reported. Depending on the direction of the flow a cooling or a warming up of the chamber occurs. The Gorter-- Mellink mutual friction gives an adequate description of the phenomena observed. The occurrence of a limiting temperature for cooling of about 0.75 K can be ascribed to heat input into the chamber generated by the flow either in the chamber itself or in the capillary. (auth)