Consider the thick slab of copper in Example 5.10, which is initially at a uniform temperature of
Question:
Consider the thick slab of copper in Example 5.10, which is initially at a uniform temperature of 20oC and is suddenly exposed to a net radiant flux of 3 X 105 W/m2. Use the Finite-Difference Equation/One-Dimensional/Transient conduction model builder of IHT to obtain the implicit form of the finite, difference equations for the interior nodes. In your analysis, use a space increment of ∆x = 37.5 mm with a total of 17 nodes (00-16), and a time increment of ∆t = 1.2 s. For the surface node 00, use the finite-difference equation derived in Section 2 of the Example.
(a) Calculate the 00 and 04 nodal temperatures at t = 120 s, that is. T(0. 120 s) and T(0.15 m, 12051. and compare the results with those given in Comment 1 for the exact solution. Will a time increment of 0.12 s provide more accurate results?
(b) Plot temperature histories for x = 0, 150, and 600 mm, and explain key features of your results.
Step by Step Answer:
KNOWN Thick slab of copper initially at a uniform temperature is suddenly exposed to a constant net radiant flux at one surface See Example 59 FIND a The nodal temperatures at nodes 00 and 04 at t 120 ...View the full answer
Fundamentals of Heat and Mass Transfer
ISBN: 978-0471457282
6th Edition
Authors: Incropera, Dewitt, Bergman, Lavine
