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ConvectionCoolant_Part2_web

# ConvectionCoolant_Part2_web - ENU 4134 Convection to...

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ENU 4134 – Convection to Coolant and Full Single-Channel Analysis – Part II D. Schubring November 13, 2009

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(Driving Towards) Single-Channel Analysis I Conduction in fuel – 1+ I Gap conductance – 1 I Conduction in cladding – << 1 I Convection to coolant – 2-3 Included in these final notes (in several parts) is the full single-channel analysis problem
Convection to Coolant I General equation for T co - T m I Single-phase coolant, constant properties & heat transfer coefficient (analytical solutions) I Single-phase coolant, variable properties & heat transfer coefficient (numerical solution) I Two-phase coolant I Miscellanea I Engineering judgment and single-channel analysis In this set of notes (part 2), we’ll develop a simple numerical scheme for single-channel analysis (single-phase or two-phase coolant).

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Outline of Numerical Scheme I Divide channel axially into a “sufficient” number of control volumes. I Start with entrance conditions and march through the control volumes. I Perform an energy balance in the coolant – flow in, flow out, heat flux out of rod – to compute outlet temperature. I Compute a heat transfer coefficient and apply the equation for T co - T m to find T co . I Compute a mean cladding conductivity and apply the equation for T ci - T co to find T ci . I Compute a gap conductance and apply the equation for T fo - T ci to find T fo . I Compute a fuel mean conductivity and apply the equation for T m - T fo to find T m I Estimate Δ P in the control volume.
Opening Remarks T m , T co , T ci , T fo & T max will be found at the control volume boundaries . Some other parameters are computed at control volume centers . To use this numerical scheme, we need to know ˙ m , P m , in , and T m , in . If T m , out is given in lieu of ˙ m , another calculation (integration, potentially numerical integration) would need to be performed first to get ˙ m .

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ConvectionCoolant_Part2_web - ENU 4134 Convection to...

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