Authors : Shahala Sheikh and Lalsingh Khalsa
Page Nos : 295-305
Description :
A new mathematical model of time-fractional two-temperature transient heat and moisture diffusion that obey Fourier and Fick's laws has been constructed in the context of the hygrothermoelastic theory. This paper provides a connection between the concepts of hygrothermoelasticity with fractional order, one-temperature and two-temperature in the unsteady diffusion process having a Dufour and Soret effect. The governing equations consist of linearly uncoupled partial differential equations applied to composite material hollow circular cylinders subjected to hygrothermal loading. The solution to the problem is first obtained in the Laplace transform domain. Furthermore, a complex inversion transform formula based on a Fourier expansion is used to get the numerical solutions of the coupled diffusion equations. The graph depicts the numerical results for the graphite fibre-reinforced epoxy resin composition of T300/5208.
