Browsing by Author "Ozisik, M. Necati"

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    Flux formulation of hyperbolic heat conduction
    Frankel, Jay Irwin; Vick, Brian L.; Ozisik, M. Necati (American Institute of Physics, 1985)
    The development of the general flux formulation for heat conduction based on the modified Fourier's law is presented. This new formulation produces a hyperbolic vector equation in heat flux which is more convenient to use for analysis in situations involving specified flux conditions than the standard temperature formulation. The recovery of the temperature distribution is obtained through integration of the energy conservation law with respect to time. The Green's function approach is utilized to develop a general solution for hyperbolic heat conduction in a finite medium. The utility of the flux formulation and the unusual nature of heat conduction based on the hyperbolic formulation are demonstrated by developing analytical expressions for the heat flux and temperature distributions in a finite slab exposed to a pulsed surface heat flux.
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    Hyperbolic heat conduction with temperature-dependent thermal conductivity
    Glass, D. E.; Ozisik, M. Necati; McRae, D. S.; Vick, Brian L. (American Institute of Physics, 1986-03-15)
    Hyperbolic heat conduction in a semi-infinite slab with temperature-dependent thermal conductivity is studied numerically, and the results are compared with those obtained from the classical parabolic equation for the following cases: (a) constant applied temperature at x=0.0, (b) constant applied heat flux at x=0.0, and (c) a pulsed heat source released instantaneously at t=0.0 in the region [] adjacent to an insulated boundary. In addition to changing the temperature profiles, the nonlinear thermal conductivity also altered the speed of the thermal front. An increase in the thermal conductivity increased the wave speed, while a decrease in the thermal conductivity decreased the wave speed.