Hyperbolic heat conduction with surface radiation

Non-Fourier analysis of skin biothermomechanics

“…Later, following developments in laser technology, non-Fourier thermal behaviour was observed in short-pulse laser processing of thin-film engineering structures [3,4]. A similar phenomenon has also been experimentally observed in materials with non-homogeneous inner structure [5], such as H acid, NaHCO 3 , sand, glass ballontini, ion exchange, and sand with an irregular grain structure, which are similar in heterogeneity to biological tissues.…”

Numerical solution of two-dimensional axisymmetric hyperbolic heat conduction

“…The total energy provided during each period is the same and taken as unity, regardless of the value of j. The same values of j ¼ 0:5 and P ¼ 1:0 as used by Yang (1990) and Glass et al (1985) are chosen here.…”

“…Solutions of HHC equations in the Cartesian coordinates can be found in a number of publications: Sieniutycz (1977), Wiggert (1977), Vick and Ö zisik (1982), Glass et al (1985), Yang (1990), Tzou and Li (1993), Chen and Lin (1994), and Tang and Araki (1999). In many applications, however, objects are axisymmetric, or an object may subject to an axisymmetric energy source.…”

Axisymmetric non-Fourier temperature field in a hollow sphere

“…(4) for axisymmetric conduction in cylindrically bounded domains. Several solutions for finite media have been given in [9][10][11][12][13][14][15]. Tang and Araki [16,17] have solved the problem of non-Fourier heat conduction in a finite medium under periodic surface disturbance.…”