This preview shows page 1. Sign up to view the full content.
PROBLEM 4.34
KNOWN:
External corner of a twodimensional system whose boundaries are subjected to prescribed
onditions.
c
FIND:
Finitedifference equations for these situations:
(a) Upper boundary is perfectly insulated and
side boundary is subjected to a convection process, (b) Both boundaries are perfectly insulated;
ompare result with Eq. 4.43.
c
SCHEMATIC:
ASSUMPTIONS:
(1) Steadystate conditions, (2) Twodimensional conduction, (3) Constant
roperties, (4) No internal generation.
p
ANALYSIS:
Consider the nodal point configuration shown in the schematic and also as Case 4,
Table 4.2.
The control volume about the node – shaded area above of unit thickness normal to the
page – has dimensions, (
Δ
x/2)(
Δ
y/2)
⋅
1.
The heat transfer processes at the surface of the CV are
identified as q
1
, q
2
⋅⋅⋅
.
Perform an energy balance wherein the processes are expressed using the
ppropriate rate equations.
a
(a) With the upper boundary insulated and the side boundary subjected to a convection process, the
This is the end of the preview. Sign up
to
access the rest of the document.
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

Click to edit the document details