11_ConductionFuelCladding_web

11_ConductionFuelCladding_web - ENU 4134 Conduction in Fuel...

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ENU 4134 – Conduction in Fuel & Cladding D. Schubring Fall 2011
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Learning Objectives I 3-c Solve the equations for conduction in fuel and cladding and articulate assumptions/models used regarding fuel thermal conductivity I 5-b Use correlations and/or models to analyze problems in nuclear thermal hydraulics I 5-f Identify TH-related safety limits for light water reactor operation I 5-g Consider conservatism (or lack thereof) present in a model and evaluate implications of this for reactor safety analysis
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Nuclear Heat Transfer The heat from fission is primarily deposited in the fuel and must eventually be dissipated into the coolant. It passes through the following materials: I Fuel I Gap I Cladding I Clad-coolant interface What mechanisms of heat transfer dominate in each?
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Nuclear Heat Transfer (2) We will derive the following equations in the next few days: T co - T m = q 0 2 π R co htc (1) T ci - T co = q 0 2 π k c ln R co R ci (2) T fo - T ci = q 0 2 π R g htc g = q 0 π ( R ci + R fo ) htc g (3) T max - T fo = q 0 4 π k f (4)
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Thermal Conductivity in Fuel In the most general case, conductivity is a tensor and an explicit function of space and temperature: ~ ~ k ( ~ r , T ) (5) Tensor properties: in some substances (such as graphite) heat conduction is more efficient in certain directions.
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