Determine the largest permissible time step for a one-dimensional transient conduction problem to be solved by an explicit method if the node spacing is 1 mm and the material is (a) carbon steel 1C, and (b) window glass. Explain the difference in the two results.
GIVEN
One-dimensional transient conduction in a 1-mm-thickness of carbon steel and window glass
FIND
(a) Largest permissible time step for each material
a) The thermal diffusivity for carbon steel is ? = 1.172 × 10–5 m2/s.
The largest permissible time step is given by
(b) The thermal diffusivity for window glass is ? = 0.034×10–5 m2/s.
The largest permissible time step is given by
Since the heat diffuses much more slowly through the window glass, much larger time steps are
allowed.
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