Acoustic and temperature waves

Helium Three ◽  
2001 ◽  
pp. 253-274
Author(s):  
E. R. DOBBS
Keyword(s):  
2015 ◽  
Vol 56 (3) ◽  
pp. 233-247 ◽  
Author(s):  
RHYS A. PAUL ◽  
LAWRENCE K. FORBES

We consider a two-step Sal’nikov reaction scheme occurring within a compressible viscous gas. The first step of the reaction may be either endothermic or exothermic, while the second step is strictly exothermic. Energy may also be lost from the system due to Newtonian cooling. An asymptotic solution for temperature perturbations of small amplitude is presented using the methods of strained coordinates and multiple scales, and a travelling wave solution with a sech-squared profile is derived. The method of lines is then used to approximate the full system with a set of ordinary differential equations, which are integrated numerically to track accurately the evolution of the reaction front. This numerical method is used to verify the asymptotic solution and investigate behaviours under different conditions. Using this method, temperature waves progressing as pulsatile fronts are detected at appropriate parameter values.


1999 ◽  
Vol 5 (S2) ◽  
pp. 980-981
Author(s):  
M. Conroy ◽  
H. M. Pollock ◽  
A. Hammiche ◽  
G. Mills ◽  
J.M.R. Weaver ◽  
...  

In “ac” scanning thermal microscopy, an “active” thermal probe is used also as a heater, so as to inject evanescent temperature waves into a sample and to allow sub-surface imaging of polymers and other materials [1]. The sub-surface detail detected corresponds to variations in heat capacity or thermal conductivity. By suitably choosing the temperature modulation frequency, and hence the penetration depth of the wave, we control the depth of material below the sample surface that is contributing to the image.Micro-Thermal Analysis [2, 3] builds upon this technique, in order to add spatial resolution to two well-established methods of chemical fingerprinting, DTA and DMA. In both cases, a temperature ramp is used to subject the sample to “events” such as a glass transition or melting. The chief advantages of using the active thermal probe to provide the temperature ramp as well as the modulation, without the use of a heating stage, are: (a) the data are obtained from localised regions chosen from a previously-obtained thermal image, (b) apart from these regions, the rest of the sample is preserved in its original unheated state.


Author(s):  
Marco Gandolfi ◽  
Giulio Benetti ◽  
Christ Glorieux ◽  
Claudio Giannetti ◽  
Francesco Banfi

2006 ◽  
Vol 20 (03) ◽  
pp. 355-380
Author(s):  
PETER BRUSOV ◽  
PAVEL BRUSOV

In the last decade, new techniques for producing impure superfluids with unique properties have been developed. This new class of systems includes superfluid helium confined to aerogel, HeII with different impurities, superfluids in Vycor glasses, and watergel. These systems exhibit very unusual properties including unexpected acoustic features. We discuss the sound properties of these systems and show that sound phenomena in impure superfluids are modified from those in pure superfluids. We calculate the coupling between temperature and pressure oscillations for impure superfluids and show that this coupling increases significantly. This leads to the existence in impure superfluids of such unusual sound phenomena as slow "pressure" waves and fast "temperature" waves. This also decreases the threshold values for nonlinear processes as compared to pure superfluids. Sound conversion, which has been observed in pure superfluids only by high intensity waves should be observed at moderate sound amplitude in impure superfluids. Cerenkov emission of second sound by first sound (which has never been observed in superfluids) could be observed in impure superfluids. Even the nature of the sound modes in impure superfluids turns out to be changed. We have also derived for the first time the nonlinear hydrodynamic equations for superfluid helium in aerogel.


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