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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A plane wall of thickness 0.6 m (L = 0.3 m) is made of steel
 It is initially at a uniform temperature and is then exposed to air on both surfaces. Consider two different convection conditions: natural convection, characterized by h = 10 W/m2 ∙ K, and forced convection, with h = 100 W/m2 ∙ K. You are to calculate the surface temperature at three different times—t = 2.5 min, 25 min, and 250 min—for a total of six different cases.
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(a) For each of these six cases, calculate the nondimensional surface temperature,
 using four different methods: exact solution, firstterm-of-the-series solution, lumped capacitance, and semi-infinite solid. Present your results in a table.
(b) Briefly explain the conditions for which (i) the first-term solution is a good approximation to the exact solution, (ii) the lumped capacitance solution is a good approximation, (iii) the semi-infinite solid solution is a good approximation.
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