We consider the system of dual-phase-lag heat conduction proposed by Tzou [21]. First, we prove that the solutions of the problem are generated by a semigroup of quasicontractions. Thus, the problem of third-order in time is well-posed. Then the exponential stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder.

The current paper is dealing with the thermal reaction and response of skin tissue subjected to a constant heat flux due thermo-electrical shock on bounding plane. dual-phase-lag bio conduction equation based Tzou model has been applied solved in Laplace transform domain by using direct method. numerical inversions transform, solution obtained. thermos-electrical for small value time considered...

The three-phase-lag model and Green–Naghdi theory without energy dissipation are employed to study the deformation of a two-temperature fiber-reinforced medium with an internal heat source that is moving with a constant speed under a hydrostatic initial stress and the gravity field.  The modulus of the elasticity is given as a linear function of the reference temperature. The exact expressions ...

The present article deals with the two parts: (i)The propagation of plane waves in a microstretch thermoelastic diffusion solid of infinite extent. (ii)The reflection and transmission of plane waves at a plane interface between inviscid fluid half-space and micropolar thermoelastic diffusion solid half-space.It is found that for two-dimensional model, there exist four coupled longitudinal waves...

In the present work, three different modes of heat conduction, diffusion, thermal wave, and dual-phase lag, across a thin layer subjected to constant temperature insulated boundary conditions are compared by using finite element solution. The model is developed considering relaxation time flux gradient for single element. After assembling all elements, number algebraic equations obtained solved...

Lagging models of heat conduction, such as the Dual-Phase-Lag or the Single-Phase-Lag models, lead to heat conduction equations in the form of partial differential equations with delays or to partial differential equations of hyperbolic type, and have been considered to model microscale heat transfer in engineering problems or bio-heat transfer in medical treatments. In this work we obtain expl...