In this paper the nano conical shell model is developed based on modified strain gradient theory. The governing equations of the nano truncated conical shell are derived using the FSDT, and the size parameters through modified strain gradient theory have been taken into account. Hamilton’s principle is used to obtain the governing equations, and the shell’s equations of motion are derived with ...

The diffusion transport coefficients of a binary granular suspension where one the components is present in tracer concentration are determined from (inelastic) Enskog kinetic equation. effect interstitial gas on solid particles accounted for equation through two different terms: (i) viscous drag force proportional to particle velocity and (ii) stochastic Langevin-like term defined terms backgr...

Hydrodynamics can be formulated in terms of a perturbative series derivatives the temperature, chemical potential, and flow velocity around an equilibrium state. Different formulations for this have been proposed over years, which consequently led to development various hydrodynamic theories. In work, we discuss relativistic generalizations expansions put forward by Chapman Enskog, Hilbert, usi...

Internal energy relaxation processes in fluid models derived from the kinetic theory are revisited, as related bulk viscosity coefficients. The apparition of coefficients regimes and links with equilibrium one-temperature discussed. First, a two-temperature model single internal mode is investigated, then two modes finally state-to-state for mixtures gases. All these lead to unique physical int...

We prove an existence and uniqueness theorem for the solution with data near the vacuum in the Hard sphere.