Assume that the inner cylinder in Problem 6.31 is a heat source consisting of an aluminum-clad rod

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Assume that the inner cylinder in Problem 6.31 is a heat source consisting of an aluminum-clad rod of uranium, 5-cm-OD and 2 m long. Estimate the heat flux that will raise the temperature of the bismuth 40?C and the maximum center and surface temperatures necessary to transfer heat at this rate. From Problem 6.31: Determine the heat transfer coefficient for liquid bismuth flowing through an annulus (5-cm-ID, 6.1-cm-OD) at a velocity of 4.5 m/s. The bismuth is at 316?C. It may be assumed that heat losses from the outer surface are negligible.GIVENLiquid bismuth flowing through an annulusAnnulus inside diameter (Di) = 5 cm = 0.05 mAnnulus outside diameter (Do) = 6.1 cm = 0.061 mBismuth velocity (V) = 4.5 m/sBismuth temperature (Tb) = 316?CInner cylinder is an aluminum clad uranium heat sourceCylinder length (L) = 2 mFrom Problem 6.31: hc = 26,800 W/(m2 K)ASSUMPTIONSSteady stateThe Bismuth temperature given in Problem 6.31 is the bulk Bismuth temperatureThermal resistance of the aluminum is negligibleThickness of the aluminum isnegligible

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Principles of heat transfer

ISBN: 978-0495667704

7th Edition

Authors: Frank Kreith, Raj M. Manglik, Mark S. Bohn

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