Heat conduction in a solid slab embedded with a pipe of general cross-section: shape factor and shape optimization

DOI10.1016/j.ijengsci.2008.03.004zbMath1213.74251OpenAlexW1992056516MaRDI QIDQ540878

Marios M. Fyrillas

Publication date: 4 June 2011

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.03.004

zbMATH Keywords

Laplace equationshape optimizationshape factorgeneralized Schwarz-Christoffel transformationsolid slabtwo-dimensional heat conduction

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items

Shape factor and shape optimization for a periodic array of isothermal pipes, Shape optimization for 2D diffusive scalar transport, Critical insulation thickness of a rectangular slab embedded with a periodic array of isothermal strips, Shape optimization of conductive-media interfaces using an IGA-BEM solver, Approximate solution to Fredholm integral equations using linear regression and applications to heat and mass transfer

Uses Software

• Schwarz-Christoffel
• SC Toolbox
• Optimization Toolbox

Cites Work

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• Potential due to some arbitrarily charged strips between parallel earthed planes
• Conformal-mapping-based coordinate generation method for channel flows
• Explicit solutions to a class of mixed boundary value problems
• The solution of a new mixed boundary value problem by use of an integral transformation
• Inverted fins: geometric optimization of the intrusion into a conducting wall
• Optimal shape of a variable condenser
• ANALYTICAL SOLUTION OF A NEW MIXED BOUNDARY - VALUE PROBLEM IN HEAT CONDUCTION
• Analytical solution and shape optimization for groundwater flow through a leaky porous trough subjacent to an aquifer
• Advection–dispersion mass transport associated with a non-aqueous-phase liquid pool
• Schwarz-Christoffel Mapping
• A Rapidly Convergent Descent Method for Minimization
• A Family of Variable-Metric Methods Derived by Variational Means