DSA will ultimately play an important role in the design optimization process. Part 2 of this paper presents an efficient and accurate methodology for the DSA of the cooling stage of the injection molding process. The DSA program developed in the present study utilizes the implicit differentiation of the boundary integral equations and the B.C.s presented in Part I with respect to all DVs to yield the sensitivity equations. In this DSA, we have considered various DVs as follows: (i) (DVs related to processing conditions) inlet coolant bulk temperature and inlet coolant volumetric flow rate of each cooling channel inlet, and (ii) (DVs related to mold cooling system design) radius and location of each cooling channel. Two sample problems are solved to demonstrate the accuracy and efficiency of the present DSA formulation and to discuss the characteristics of each DV.

1.
Barone
M.
, and
Yang
R. J.
,
1988
, “
Boundary Integral Equations for Recovery of Design Sensitivities in Shape Optimization
,”
AIAA J.
, Vol.
26
, pp.
589
594
.
2.
Haarhoff
P. C.
, and
Buys
J. D.
,
1970
, “
A New Method for the Optimization of a Nonlinear Function Subject to Nonlinear Constraint
,”
The Computer Journal
, Vol.
13
, No.
2
, pp.
178
184
.
3.
Prasad
K. G.
, and
Kane
J. H.
,
1992
, “
Three-Dimensional Boundary Element Thermal Shape Sensitivity Analysis
,”
Int. J. Heat Mass Transfer
, Vol.
35
, No.
6
, pp.
1427
1439
.
4.
Park
S. J.
, and
Kwon
T. H.
,
1996
, “
Sensitivity Analysis Formulation for Three-dimensional Conduction Heat Transfer with Complex Geometries Using a Boundary Element Method
,”
Int. J. Numer. Methods Eng.
, Vol.
39
, pp.
2837
2862
.
5.
Saigal
S.
,
Borggaard
J. T.
, and
Kane
J. H.
,
1989
, “
Boundary Element Implicit Differentiation Equations for Design Sensitivities of Axisymmetric Structure
,”
Int. J. Solids Struct.
, Vol.
25
, No.
5
, pp.
527
538
.
6.
Saigal
S.
, and
Chandra
A.
,
1991
, “
Shape Sensitivities and Optimal Configurations for Heat Diffusion Problems: A BEM Approach
,”
Journal of Heat Transfer
, Vol.
113
, pp.
287
295
.
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