| Rewetting of an infinite tube with a uniform heating (2002) | |||||||||||||
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| Rewetting infinite tube with uniform heating Satapathy Sahoo Abstract The two dimensional quasi steady conduction equation governing conduction controlled rewetting nite tube with outer surface ooded and the inside surface subjected constant heat has been solved Wiener Hopf technique The solution yields the quench front temperature function various model parameters such Peclet number Biot number and mensionless heat Also the dryout heat tained setting the Peclet number equal zero which gives the maximum sustainable heat prevent the dryout the coolant List symbols Biot number speci heat heat transfer coef cient thermal conductivity length the tube Peclet number heat dimensionless heat half the Peclet number time temperature quench front velocity physical coordinates coordinates quasi steady state dimensionless coordinates quasi steady state Greek radius ratio dimensionless temperature density Subscripts quench front wet region dry region saturation wall condition Introduction The process quenching hot surfaces practical importance nuclear and metallurgical industries For instance the event postulated loss coolant cident LOCA water cooled reactors the clad surface the fuel elements may reach very high temperature cause the residual core heat cannot removed adequately the surrounding steam order bring the reactor cooled shutdown condition emergency core cooling system activated ood the core However the injected coolant does not immediately wet the cladding surface because stable. The two-dimensional quasi-steady conduction equation governing conduction controlled rewetting of an infinite tube, with outer surface flooded and the inside surface subjected to a constant heat flux, has been solved by Wiener-Hopf technique. The solution yields the quench front temperature as a function of various model parameters such as Peclet number, Biot number and dimensionless heat flux. Also, the dryout heat flux is obtained by setting the Peclet number equal to zero, which gives the maximum sustainable heat flux to prevent the dryout of the coolant. | |||||||||||||
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