Axi-Symmetric Propagation in a Thermoelastic Diffusion with Phase Lags

American Journal of Science and Technology

S.K. Garg¹  RajneeshKumar²  LajvinderSingh Reen³ 

[1] Department of Mathematics, Deen Bandhu Chhotu Ram University of Science and Technology, Sonipat, Haryana, India.;Department of Mathematics, Kurukshetra University, Kurukshetra, India.;Department of Mathematics, Seth Jai Parkash Mukand Lal Institute of EngineeringTechnology, Radaur (Yamunanagar), Haryana, India.

关键词: Dual Phase Lag;    Isotropic Thermoelastic;    Laplace Transform;    Hankel Transform;    Plane Axisymmetric;    Diffusion;   

学科分类：工程和技术（综合）

来源: AASCIT

【 摘 要 】

The purpose of this paper is to depict the effect of thermal and diffusion phase lags due to axisymmetric heat supply for a disc. The problem is discussed within the context of DPLT and DPLD models. The upper and lower surfaces of the disc are traction free and subjected to an axisymmetric heat supply. The solution is found by using Laplace and Hankel transform technique and a direct approach without the use of potential functions. The analytical expressions of displacements, stresses and chemical potential, temperature and mass concentration are computed in transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically. The effect of diffusion and thermal phase-lags are shown on the various components. Some particular cases of result are also deduced from the present investigation.

【 授权许可】

Unknown