Shape optimization and identification of solid geometries considering discontinuities

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States)

DOI:https://doi.org/10.1115/1.3250526· OSTI ID:5346018

Meric, R A ^[1]

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1. Research Institute for Basic Sciences, TUBITAK, Gebze (Turkey)

Shape sensitivity analysis of heat-conducting bodies is performed in general terms incorporating interface conditions and boundary singularities. Adjoint variables and the material derivative concept are utilized to obtain the material derivaives of volume and surface integrals of temperature and heat flux. Two illustrative examples are then analyzed by iterative numerical techniques incorporating the boundary element method of discretization. In this first problem, the interface position in a nonhomogeneous material is optimized for a minimum of total surface heat flow. The second problem involves the determination of the solidification interface shape in the so-called steady-state one-phase Stefan problem. Numerical results, checked by exact solutions, where available, indicate that the proposed solution procedure is suitable for free boundary problems in heat transfer.

• OSTI ID: 5346018
• Journal Information: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States), Journal Name: Journal of Heat Transfer (Transcations of the ASME (American Society of Mechanical Engineers), Series C); (United States) Vol. 110:3; ISSN 0022-1481; ISSN JHTRA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
BOUNDARY CONDITIONS
BOUNDARY LAYERS
CAVITIES
ENERGY TRANSFER
HEAT FLUX
HEAT TRANSFER
LAYERS
MATHEMATICS
MOVING-BOUNDARY CONDITIONS
NUMERICAL ANALYSIS
THERMAL CONDUCTION