For one-dimensional conduction, why are the boundary control volumes half the size of interior control volumes?
GIVEN
One-dimensional conduction
EXPLAIN
(a) Why the boundary control volume is half the size of internal control volumes
There is a node on the boundary as well as one a distance ?x to the interior of the boundary. Since the
interior nodes are centered within a control volume of width ?x, the control volume associated with
the first non-boundary node comes within ?x/2 of the boundary. So, there is a volume of only ?x/2 left
over for the boundary node.
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