In this paper, the melting of a semi-infinite body as a result of a moving laser beam has been studied. Because the Fourier heat transfer equation at short times and large dimensions does not have sufficient accuracy; a non-Fourier form of heat transfer equation has been used. Due to the fact that the beam is moving in x direction, the temperature distribution and the melting pool shape are not...

A semi-analytical investigation has been carried out to analyze unsteady MHD second-grade flow under the Dual-Phase-Lag (DPL) heat and mass transfer model in a vertical microchannel filled with porous material. Diffusion thermo (Dufour) effects and homogenous chemical reaction are considered as well. The governing partial differential equations are solved by using the Laplace transform method w...

ripening is one of the most important stages in production of cheese. in this research to comprehensive study of uf cheese ripening as the major industrial cheese that is produced in iran, mass transfer, heat transfer and changes in quality and sensory properties, simultaneously considered and a mathematical model was developed to describe them. thus, at first, lipolysis, proteolysis, texture a...

in the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. linear and nonlinear stability analysis have been performed. for linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated fourier serie...

Different non-Fourier models of heat conduction have recently been considered in the modeling of microscale heat transfer in engineering and biomedical heat transfer problems. The dual-phase-lagging model, incorporating time lags in the heat flux and the temperature gradient, and some of its particular cases and approximations, result in heat conduction modeling equations in the form of retarde...

In this paper we study the model of heat transfer in a porous medium with a critical diffusion. We obtain global existence and uniqueness of solutions to the equations of heat transfer of incompressible fluid in Besov spaces Ḃ 3/p p,1 (R ) with 1 ≤ p ≤ ∞ by the method of modulus of continuity and Fourier localization technique. AMS Subject Classification 2000: 76S05, 76D03

whereas in electrical discharge machining (edm) the heat flux entering the workpiece is extremely high, the fourier heat conduction model may fails. this article reports on determination of temperature distribution in the workpiece due to edm using non-fourier heat conduction model. equations are solved by deriving the numerical solution. the temperature layers and profiles of sample calculatio...

In the present study, the onset of double diffusive reaction-convection in a uid layer with viscous fluid, heated and salted from below subject to chemical equilibrium on the boundaries, has been investigated. Linear and nonlinear stability analysis have been performed. For linear analysis normal mode technique is used and for nonlinear analysis minimal representation of truncated Fourier serie...