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"type": "thesis", "metadata_visibility": "show", "creators": { "items": [ { "id": "Schlueter-Roger-Selig", "name": { "family": "Schlueter", "given": "Roger Selig" } } ] }, "title": "Thermal Wave Propagation in Helium II", "ispublished": "unpub", "full_text_status": "public", "keywords": "Engineering", "abstract": "
Landau's equations for the two-fluid model of liquid helium II\r\nare us ed as the basis for an investigation of the properties of thermal\r\nwave propagation. A number of assumptions are made which reduce\r\nthe four original equations to a system of two non-linear partial differential equations valid to first order in the relative velocity of the\r\ntwo components. These equations are analogous to Riemann's equations\r\nwhich describe pressure waves in a classical fluid.
\r\n\r\n\r\nThis system of equations, when reduced to just one space\r\ndimension is shown to be hyperbolic and a set of characteristics and\r\ninvariants is found. A particularly simple, one-dimensional problem\r\nis then formulated and an explicit solution is given. This solution is\r\nthen studied in detail to show the distortion of a temperature pulse as\r\nit propagates and also to show effects such as non-linear breaking.
\r\n\r\n\r\nSubsequently, the restrictive assumptions are eliminated\r\nindividually and the equations are then valid to second order in the\r\nrelative velocity; the effects of including thermal expansion and using\r\nthe relative velocity as a thermodynamic variable are given. Also,\r\nsome effects due to the interaction of first and second sound are\r\ninvestigated. In all cases, the results are compared with other\r\nresults based on equations differing from the Landau equations and\r\nwith results found by using perturbation techniques.
\r\n\r\nFinally, equations based on the same Landau equations are\r\nderived and discussed which describe steady state shock (discontinuous)\r\nsolutions.
\r\n\r\nSuggestions for further theoretical and experimental work are\r\nmade.
\r\n\r\n ", "date": "1969", "date_type": "degree", "id_number": "CaltechTHESIS:03312017-093136052", "refereed": "FALSE", "official_url": "https://resolver.caltech.edu/CaltechTHESIS:03312017-093136052", "rights": "No commercial reproduction, distribution, display or performance rights in this work are provided.", "funders": { "items": [ { "agency": "Caltech" }, { "agency": "Alfred P. Sloan Foundation" }, { "agency": "NSF" } ] }, "collection": "CaltechTHESIS", "reviewer": "Tony Diaz", "deposited_by": "Benjamin Perez", "deposited_on": "2017-03-31 16:58:58", "doi": "10.7907/3T5S-CN85", "divisions": { "items": [ "div_eng" ] }, "institution": "California Institute of Technology", "thesis_type": "phd", "thesis_advisor": { "items": [ { "id": "Hsieh-Din-Yu", "name": { "family": "Hsieh", "given": "Din-Yu" }, "role": "advisor" } ] }, "thesis_committee": { "items": [ { "name": { "family": "Unknown", "given": "Unknown" } } ] }, "thesis_degree": "PHD", "thesis_degree_grantor": "California Institute of Technology", "thesis_defense_date": "1968-12-13", "review_status": "approved", "option_major": { "items": [ "engappsci" ] }, "copyright_statement": "Author's Rights Authorization: I hereby certify that, if appropriate, I have obtained a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted here is the same as that approved by my advisory committee.\n\nI hereby grant to California Institute of Technology or its agents the non-exclusive license to archive and make accessible, under the conditions specified under \"Thesis Availability\" in this submission, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation, or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.", "resource_type": "thesis", "pub_year": "1969", "author_list": "Schlueter, Roger Selig", "advisor_list": "Hsieh, Din-Yu", "comittee_list": "Unknown, Unknown" } ]