References
- Segall AE. Inverse solutions for determining arbitrary boundary-conditions using a least-squares approach. ASME J. Heat Transfer. 2005;127:1403–1405.
- Segall AE, Engels D, Hirsh A. Transient surface strains and the deconvolution of thermoelastic states and boundary conditions. ASME J. Pressure Vessel Technol. 2009;131:011201-1–011201-9.
- Cai R, Zhang N. Some algebraically explicit analytical solutions of unsteady nonlinear heat conduction. ASME J. Heat Transfer. 2001;124:1189–1191.
- Cai R, Zhang N. Algebraically explicit analytical solutions of unsteady conduction with variable thermal properties in cylindrical coordinates. Prog. Nat. Sci. 2004;14:314–321.
- Vujanovic B. Application to the optimal linearization method to the heat transfer problem. Int. J. Heat Mass Transfer. 1973;16:1111–1117.
- Mastanaiah K, Muthunayagam AE. Transient conduction in a finite slab with variable thermal conductivity. AIAA J. 1974;13:954–956.
- Imber M. Nonlinear heat transfer in planar solids: direct and inverse applications. AIAA J. 1979;17:204–213.
- Suec J, Hedge S. Transient conduction in a slab with temperature dependent thermal conductivity. Trans. ASME. 1978;100:172–174.
- Gustavsson M, Karawacki E, Gustafsson SE. Thermal conductivity, thermal diffusivity, and specific heat of thin samples from transient measurements with hot disk Sensors. Rev. Sci. Instrum. 1994;65:3856–3859.
- Palisoc AL, Lee CC. Thermal properties of the multilayer infinite plate structure. J. Appl. Phys. 1988;64:410–415.
- Lesnic D, Ingham DB. A note on the determination of the thermal properties of a material in a transient nonlinear heat conduction problem. Int. Comm. Heat Transfer. 1995;22:475–482.
- Kim S, Chung BJ, Kim MC, Kim KY. A note on the direct estimation of thermal properties in a transient nonlinear heat conduction medium. Int. Comm. Heat Transfer. 2002;29:787–795.
- Engels D, Segall AE, Drapaca C. Inverse Analysis of Thermal States from Transient Histories with Nonlinear Thermophysical Properties. In: Proceedings of PVP; 2009 July 26–30; Prague, Czech Republic.
- Goodman T. The heat-balance integral – further considerations and refinements. J. Heat Transfer. 1961;83:83–85.
- Yang K. Transient conduction in a semi-infinite solid with variable thermal conductivity. J. Appl. Mech. 1958;25:146–147.
- Press WH, Flannery BP, Teukolsky SA, Vetterling WT. Numerical recipes: the art of scientific computing or numerical recipes in C: the art of scientific computing. New York, NY: Cambridge University Press; 1992.
- Segall AE, Hellmann JR, Modest MF. Analysis of gas-fired ceramic radiant tubes during transient heating: part i-thermal transient modeling. ASTM J. Test. Eval. 1991;19:454–460.
- Martin TJ, Dulikravich GS. Inverse determination of temperature-dependent thermal conductivity using steady surface data on arbitrary objects. ASME J. Heat Transfer. 2000;122:450–459.
- de Monte F, Beck JV, Amos DE. Diffusion of thermal disturbances in two-dimensional cartesian transient heat conduction. Int. J. Heat Mass Transfer. 2008;51:5931–5941.