A long 3-mm diameter rod of steel (ρ = 7840 kg/m3, c = 460 J/kgK, k = 43 W/mK) has a uniform initial temperature of 650C. The rod is then suddenly immersed in a large container of 25C water. The hot rod causes the water immediately surrounding the rod to boil, giving rise to a heat transfer coefficient of 5600 W/m2 K. The boiling stops when the rod reaches a temperature of 100C, at which time the heat transfer coefficient becomes 750 W/m2 K. Find the time period during which boiling occurs and the total time required for the rod to reach a temperature of 40C. Use a characteristic length for this problem.
A long 3-mm diameter rod of steel (ρ = 7840 kg/m3, c = 460 J/kgK, k = 43 W/mK) has a uniform initial temperature of 650C. The rod is then suddenly immersed in a large container of 25C water. The hot rod causes the water immediately surrounding the rod to boil, giving rise to a heat transfer coefficient of 5600 W/m2 K. The boiling stops when the rod reaches a temperature of 100C, at which time the heat transfer coefficient becomes 750 W/m2 K. Find the time period during which boiling occurs and the total time required for the rod to reach a temperature of 40C. Use a characteristic length for this problem.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A long 3-mm diameter rod of steel (ρ = 7840 kg/m3, c = 460 J/kgK, k = 43 W/mK)
has a uniform initial temperature of 650C. The rod is then suddenly immersed in a
large container of 25C water. The hot rod causes the water immediately surrounding
the rod to boil, giving rise to a heat transfer coefficient of 5600 W/m2
K. The boiling
stops when the rod reaches a temperature of 100C, at which time the heat transfer
coefficient becomes 750 W/m2
K. Find the time period during which boiling occurs
and the total time required for the rod to reach a temperature of 40C. Use a
characteristic length for this problem.
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