Effects of Hall current and nonlocality in a magneto-thermoelastic solid with fractional order heat transfer due to normal load
Parveen Lata, Sukhveer Singh
Abstract
The article is concerned with the study of combined effect of Hall current and nonlocality in a homogeneous isotropic magneto-thermoelastic rotating medium with fractional order heat transfer due to normal load. The problem is discussed with the context of fractional order heat transfer under the effect of a uniformly distributed force. The model has been assumed to be two-dimensional. Laplace and Fourier transforms have been used to find the solution in transformed domain. The analytical expressions of displacement components, stress components, conductive temperature and current density components are obtained in the transformed domain. Numerical inversion technique is used for getting the results in the physical domain. Numerical simulated results have been depicted graphically to show the effect of nonlocal parameter, Hall parameter and fractional parameter on the components of displacements, stresses, current density and conductive temperature. Some particular cases have also been discussed.