Concepedia

BIOT'S VARIATIONAL PRINCIPLE IN HEAT CONDUCTION

AIAA Journal · 1963 · 67 citations · 13 references

Concepts

EngineeringMechanical EngineeringPhysicsHeat TransferThermal AnalysisThermodynamicsHeat ConductionHeat FlowHeat Transfer FundamentalsHeat Transfer ModelingRadiative Heat TransferTransient Heat TransferGeneral Heat Conduction EquationHeat Conduction EquationHeat Conduction ModelsHeat EquationThermodynamic EquilibriumThermodynamic RelationshipsTime-varying Heat Flux

Abstract

The literature on Biot's variational principle for heat conduction and the thermodynamic foundations of the principle are reviewed. An additional example treats the heating of slabs exposed to time-dependent heat fluxes. A specific example of a triangular heat pulse is presented in detail.

References

13

Conduction of heat in solids

C. J. Tranter · Journal of the Mechanics and Physics of Solids · 1959 · 18.5K citations

Natural Sciences, Materials Science, Physics +10

Theory of thermal stresses

D.M. Gilbey · Journal of the Less Common Metals · 1959 · 910 citations

Engineering, Mechanical Engineering, Physics +11

Linear thermodynamics and the mechanics of solids

Maurice A. Biot · 1958 · 200 citations

Natural Sciences, Mathematics, Physics +12

The Melting of Finite Slabs

Theodore R. Goodman, John J. Shea · Journal of Applied Mechanics · 1960 · 111 citations

Engineering, Mechanical Engineering, Heat Transfer +10

Heat transfer—A review of current literature

E. R. G. Eckert, E.M. Sparrow, W.E. Ibele et al. · International Journal of Heat and Mass Transfer · 1965 · 98 citations

Engineering, Materials Engineering, Mechanical Engineering +14