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PROBLEM 4.32
KNOWN:
Internal corner of a twodimensional system with prescribed convection boundary
onditions.
c
FIND:
Finitedifference equations for these situations:
(a) Horizontal boundary is perfectly insulated
and vertical boundary is subjected to a convection process (T
∞
,h), (b) Both boundaries are perfectly
nsulated; compare result with Eq. 4.41.
i
SCHEMATIC:
ASSUMPTIONS:
(1) Steadystate conditions, (2) Twodimensional conduction, (3) Constant
roperties, (4) No internal generation.
p
ANALYSIS:
Consider the nodal network shown above and also as Case 2, Table 4.2.
Having
defined the control volume – the shaded area of unit thickness normal to the page – next identify the
heat transfer processes.
Finally, perform an energy balance wherein the processes are expressed using
ppropriate rate equations.
a
(a) With the horizontal boundary insulated and the vertical boundary subjected to a convection
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This note was uploaded on 12/07/2010 for the course MAE Heat Trans taught by Professor Lee,j.s. during the Spring '10 term at Seoul National.
 Spring '10
 LEE,J.S.
 Heat Transfer

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