In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...

Particle diiusion in rotating drums is studied via computer simulations using a full 3-D model which does not involve any arbitrary input parameters. The diiusion coeecient for single-component systems agree qualitatively with previous experimental results. On the other hand, the diiusion coeecient for two-component systems is shown to be a highly nonlinear function of the rotation velocity. It...

Quasi-static processes in nonlinear visco-elastic materials of solid-type are here represented by the system: σ −B(x) : ∂ε ∂t ∈ β(ε, x), −divσ = f , (∗) coupled with initial and boundary conditions. Here σ denotes the stress tensor, ε the linearized strain tensor, B(x) the viscosity tensor, β(·, x) a (possibly multi-valued) maximal monotone mapping, and f an applied load. Existence and uniquene...

The generalized dynamical theory of thermo-elasticity proposed by Green and Lindsay is applied to study the propagation of harmonically time-dependent thermo-viscoelastic plane waves of assigned frequency in an infinite visco-elastic solid of Kelvin-Voigt type, when the entire medium rotates with a uniform angular velocity. A more general dispersion equation is deduced to determine the effects ...

A simple model presented here is to study the thermal effect on vibration of non-homogeneous orthotropic visco-elastic rectangular plate of parabolically varying thickness having clamped boundary conditions on all the four edges. For non-homogeneity of the plate material, density is assumed to vary linearly in one direction. Using the separation of variables method, the governing differential e...

The flow due to torsional oscillations of a disk about a steady rotation in an elastico-viscous fluid which is also rotating has been analyzed. The flow is characterized by two circularly polarized waves travelling with different velocities. It is found that the depth of penetration or wave length decreases for and increases for where is the elastic parameter and is the frequency parameter. The...

Unsteady oscillatory flow of generalized Burgers’ fluid in a circular channel tube in the porous medium is investigated under the influence of time-dependent trapezoidal pressure gradient given by an infinite Fourier series. An exact analytical expression for the solution for the fluid velocity and the shear stress are recovered by using the similarity arguments together with the integral trans...