× خانه ژورنال ها پست ها ثبت نام ورود

نتایج جستجو برای Dual-phase-lag

تعداد نتایج: 461394  
Journal: :SIAM Journal of Applied Mathematics 2006
Ramón Quintanilla, Reinhard Racke,

We consider the system of dual-phase-lag thermoelasticity proposed by Chandrasekharaiah and Tzou. First, we prove that the solutions of the problem are generated by a semigroup of quasi-contractions. Thus, the problem of third-order in time is well-posed. Then the expontial stability is investigated. Finally the spatial behavior of solutions is analyzed in a semi-infinite cylinder and a resuult...

2006
Ramón Quintanilla, Reinhard Racke,

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.

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...

A. Ekrami, M. Bahrehbarpoor,

Dual phase steels with different martensite volume fraction and morphology were tensile tested at a temperature range of 25 to 5500C. Stress-strain curves of all steels showed serration flow at temperatures of 250 and 3500C, and smooth flow at the other temperatures. Both yield and ultimate tensile strengths increased with increasing testing temperature up to about 450<sup...

2013
Vineet Srivastava,

In this article, the author has used fractional calculus to explain the wave nature of heat propagation as well as heat conduction at molecular level with dual phase lag; in this row he proposed dual phase lag heat equation of fractional order. Modified Adomian Decomposition Method and New Iterative Method are applied to obtain the approximate analytical solutions of the proposed model. Numeric...

2014
Sudip Mondal, Sadek Hossain Mallik, M Kanoria,

A new theory of two-temperature generalized thermoelasticity is constructed in the context of a new consideration of dual-phase-lag heat conduction with fractional orders. The theory is then adopted to study thermoelastic interaction in an isotropic homogenous semi-infinite generalized thermoelastic solids with variable thermal conductivity whose boundary is subjected to thermal and mechanical ...

Journal: :J. Comput. Physics 2006
James M. McDonough, Illayathambi Kunadian, Ravi Ranjan Kumar, T. L. Yang,

Alternative discretization and solution procedures are developed for the 1-D dual phase-lag (DPL) equation, a partial differential equation for very short time, microscale heat transfer obtained from a delay partial differential equation that is transformed to the usual non-delay form via Taylor expansions with respect to each of the two time delays. Then in contrast to the usual practice of de...

Hamid Azizi-Alizamini, Matthias Militzer, Vishnu Charan Sangem,

This paper provides an overview on obtaining low-carbon ultra-fine grained dual-phase steels through rapid intercritical annealing of cold-rolled sheet as improved materials for automotive applications. A laboratory processing route was designed that involves cold-rolling of a tempered martensite structure followed by a second tempering step to produce a fine grained aggregate of ferrite and ca...

2013
Ramón Quintanilla, Reinhard Racke,

In this paper we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phaselag theories, reflecting Saint-Venant’s principle. Depending on the relative order of derivation with respect to the time we propose different arguments. One is inspired by the arguments for parabolic problems and the othe...

Journal: :Mathematical biosciences 2011
Peter Olofsson, Xin Ma,

A branching process model of a bacterial population with initial lag phase is developed. Approximations are established in order to facilitate parameter estimation. The validity of approximations and estimation procedures is tested with simulated data.