## Use of conducting sheet analogy for solution of heat transfer problems in a nuclear reactor

 dc.contributor.author Baker, William Hubert en dc.contributor.department Nuclear Engineering Physics en dc.date.accessioned 2015-06-23T19:08:01Z en dc.date.available 2015-06-23T19:08:01Z en dc.date.issued 1958 en dc.description.abstract The temperature distribution in a volume element with internal heat generation satisfies Poisson's equation and for two dimensional cases, this equation becomes ∂²T/∂x² + ∂²T/ ∂Y² = -9(x,y)/KT where q(x,y) is function describing the heat generation. k,is the thermal conductivity. The voltage distribution in a flat plate with current input normal to the plate is ∂²Y/∂x² + ∂²Y/ ∂Y² = -pi(x,y) Where, p is the resistivity of the plate. i(x,y) is the function describing the current input. The development of the nuclear reactor for the production of commercial power has made necessary the rapid, economical solution of some of the problems involved. The direct analytical solution of some problems encountered are either impossible or difficult and time consuming. This thesis makes use of the analogy existing between equations (1) and (2) for the solution of certain two dimensional heat flow problems in a reactor. Teledeltos Conducting Paper was used for making the analogue models. The current was introduced into the paper by use of probes protruding through the paper. The desired temperature distribution was found by use of the equation ΔT = 9e/KT ΔV/ΔVsTd where ΔV is potential difference between two points on the analogue model. ΔVstd is the potential drop across a standard resistance through which all current flows. qt is total heat generated in the element being simulated. ΔTis the temperature difference between two points in the simulated element corresponding to the two points on the analogue model between which AV is measured. The accuracy of the analogue was checked by solving two problems, the solution of which could be determined analytically. A problem involving complex heat generation and boundary conditions was then solved. en dc.description.degree Master of Science en dc.format.extent 53 leaves en dc.format.mimetype application/pdf en dc.identifier.uri http://hdl.handle.net/10919/53018 en dc.language.iso en_US en dc.publisher Virginia Polytechnic Institute en dc.relation.isformatof OCLC# 26562755 en dc.rights In Copyright en dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/ en dc.subject.lcc LD5655.V855 1958.B343 en dc.subject.lcsh Heat-transfer media en dc.subject.lcsh Heat -- Transmission en dc.subject.lcsh Nuclear reactors en dc.title Use of conducting sheet analogy for solution of heat transfer problems in a nuclear reactor en dc.type Thesis en dc.type.dcmitype Text en thesis.degree.discipline Nuclear Engineering Physics en thesis.degree.grantor Virginia Polytechnic Institute en thesis.degree.level masters en thesis.degree.name Master of Science en
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