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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5.147
In a manufacturing process, stainless steel cylinders (AISI 304) initially at 600 K are quenched by submersion in an oil bath maintained at 300 K with h = 500 W/m2 · K. Each cylinder is of length 2L = 60 mm and diameter D = 80 mm. Use the ready-to-solve model in the Examples menu of FEHT to obtain the following solutions.
r
doubled (h = 1000 W/m2 · K). Also, for convec-
tion coefficients of 500 and 1000 W/m2 · K, deter- mine how long the cylinder needs to remain in the oil bath to achieve a safe-to-touch surface temper- ature of 316 K. Tabulate and comment on the results of parts (a) and (d).
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The operations manager for a metals processing plant anticipates the need to repair a large furnace and has come to you for an estimate of the time required for the furnace interior to cool to a safe working temperature. The furnace is cubical with a 16-m interior dimension and 1-m thick walls for which p = 2600 kg/m3, c = 960 J/kg · K, and k = 1 W/m · K. The operating temperature of the furnace is 900°C, and the outer surface experiences convec- tion with ambient air at 25°C and a convection coef-
ro = 40 mm
x L = 30 mm
L = 30 mm
Cylinder AISI 304
T(0, L, t)
Oil Bath
T(r, x, 0) = Ti = 600 K
T(ro, 0, t)
T(0, 0, t)
T¥ = 300 K
h = 500 W/m2•K
ficient of 20 W/m2 · K.
(a) Use a numerical procedure to estimate the time required for the inner surface of the furnace to cool to a safe working temperature of 35°C. Hint: Consider a two-dimensional cross section of the furnace, and perform your analysis on the smallest symmetrical section.
(b) Anxious to reduce the furnace downtime, the operations manager also wants to know what effect circulating ambient air through the furnace would have on the cool-down period. Assume equivalent convection conditions for the inner and outer surfaces.
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