On the Spatial Behavior in Thermoelasticity Without Energy Dissipation

On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags

In the present work, a modified model of heat conduction including higher order of time derivative is derived by extending Green and Naghdi theory without energy dissipation. We introduce two phase lag times to include the thermal displacement gradient and the heat flux in the heat conduction and depict microscopic responses more precisely. The constructed model is applied to s...

The effect of magnetic field on 2-D problem of generalized thermoelasticity with energy dissipation

the effect of magnetic field on 2-d problem of generalized thermoelasticity with energy dissipation

Spatial stability in linear thermoelasticity

Uniqueness and spatial stability are investigated for smooth solutions to boundary value problems in non-classical linearised and linear thermoelasticity subject to certain conditions on material coefficients. Uniqueness is derived for standard boundary conditions on bounded regions using a generalisation of Kirchhoff’s method. Spatial stability is discussed for the semi-infinite prismatic cyli...

Dianeutral Upwelling Without Dissipation of Kinetic Energy

Estimates of the upwelling of bottom and deep water have recently been used to deduce the magnitude of area-averaged mixing activity and the required dissipation of kinetic energy that is input by winds and tides. Here we raise questions about this link between upwelling and the dissipation of energy. Several processes are discussed, each of which lead to the upwelling of water across neutral d...