Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

A dynamic thermal conduction problem needs a mathematical formulation and solution consisting of cylindrical coordinates materials for the application nuclear reactor and/or laser therapeutic when subjected to higher heat fluxes. In this study, dual-phase-lag (DPL) transient non-Fourier in functional graded material is analytically solved under axial flux condition. Functional Graded Material (...

Jet lag encompasses a range of psycho- and physiopathological symptoms that arise from temporal misalignment of the endogenous circadian clock with external time. Repeated jet lag exposure, encountered by business travelers and airline personnel as well as shift workers, has been correlated with immune deficiency, mood disorders, elevated cancer risk, and anatomical anomalies of the forebrain. ...

The quantitative characterization of bacterial growth has attracted substantial research attention since Monod’s pioneering study. Theoretical and experimental work have uncovered several laws for describing the exponential growth phase, in which the number of cells grows exponentially. However, microorganism growth also exhibits lag, stationary, and death phases under starvation conditions, in...

The effects of temperature on the activation, glucose-induced germination, and outgrowth of Bacillus megaterium QM B1551 spores were investigated. There was no evidence for discontinuities in the response of spores to temperature in these processes reflecting reported thermal anomalies in the physical structure of water. Increasing the temperature of heat activation (aqueous suspensions, 5 min)...

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.

Salmonella enterica serovar Typhimurium was grown at salt concentrations ranging from 0.5 to 7.5% in minimal medium with and without added osmoprotectant and in a rich medium. In minimal medium, the cells showed an initial decline period, and consequently the definition of the lag time of the resultant log count curve was revised. The model of Baranyi and Roberts (Int. J. Food Microbiol. 23:277...

This work investigates interface kinetics during nanosecond pulsed excimer ablation of a metal. During laser heating, the surface can reach a temperature higher than the normal boiling point, resulting in a superheated, metastable state. Phase explosion occurs as the temperature approaches the thermodynamic critical point, which turns the melt into a mixture of liquid and vapor. However, for ph...

In this study we approach a mixed initial-boundary value problem to modeling a three-phase-lag dipolar thermoelastic body. The constitutive laws in this context are given. We establish a uniqueness result and prove a reciprocal theorem. The variational principle obtained in this context is a generalization of the known Gurtin's principle for classical elasticity.