Shape sensitivities and optimal configurations for heat diffusion problems: A BEM approach. [Boundary element method]

Journal Article · Wed May 01 00:00:00 EDT 1991 · Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.2910559· OSTI ID:5329822

Saigal, S ^[1]; Chandra, A ^[2]

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1. Carnegie Mellon Univ., Pittsburgh, PA (USA)
2. Univ. of Arizona, Tucson (USA)

Design sensitivity analysis, along with the shape optimization of heat diffusion problems using the boundary element method (BEM), is presented in this paper. The present approach utilizes the implicit differentiation of discretized boundary integral equations with respect to the design variables to yield the sensitivity equations. A technique based on the response of an object to a constant boundary temperature is presented for the evaluation of singular terms in the thermal sensitivity kernels. A procedure for the design sensitivity analysis of a reduced system of equations obtained via substructuring and condensation is also presented. The BEM formulations are implemented for both two-dimensional and axisymmetric objects. A number of sample problems are solved to demonstrate the accuracy of the present sensitivity formulation and to obtain optimal configurations of some mechanical components of practical interest, which are subjected to different thermal environments.

• OSTI ID: 5329822
• Journal Information: Journal of Heat Transfer (Transactions of the ASME (American Society of Mechanical Engineers), Series C); (United States), Vol. 113:2; ISSN 0022-1481
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
THERMAL DIFFUSION
CALCULATION METHODS
SENSITIVITY ANALYSIS
ACCURACY
AXIAL SYMMETRY
CONFIGURATION
DESIGN
SHAPE
TWO-DIMENSIONAL CALCULATIONS
DIFFUSION
SYMMETRY
420400* - Engineering- Heat Transfer & Fluid Flow