# 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
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)
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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