The study of non-equilibrium thermal convection in an anisotropic porous layer saturated with a visco-elastic fluid is carried out to find how the anisotropy and temperature affect onset convection. small perturbation method applied obtain linearized form equations are then solved by using normal mode technique. viscoelasticity considered taking Oldrovd-B momentum equation two separate expressi...

We introduce a model of dynamic visco-elasto-plastic evolution in the linearly elastic regime and prove an existence and uniqueness result. Then we study the limit of (a rescaled version of) the solutions when the data vary slowly. We prove that they converge, up to a subsequence, to a quasistatic evolution in perfect plasticity.

Robotic grasps exhibiting visco-elastic contact interactions with the manipulated object are considered. Control of internal forces is investigated. The presence of nonnegligible compliance at contacts, implies that the object dynamics cannot be neglected when attempting to control internal forces without affecting the object position. A dynamic internal force control is proposed. It is decoupl...

Mechanical waves, which are commonly employed for the noninvasive characterization of fluid-saturated porous media, tend to induce pore-scale fluid pressure gradients. The corresponding relaxation process is referred as squirt flow and associated viscous dissipation can significantly affect waves' amplitudes velocities. This, in turn, implies that measurements contain key information about flow...

Concentrated cell suspensions exhibit different mechanical behavior depending on the mechanical stress or deformation they undergo. They have a mixed rheological nature: cells behave elastically or viscoelastically, they can adhere to each other whereas the carrying fluid is usually Newtonian. We report here on a new elasto-visco-plastic model which is able to describe the mechanical properties...

Radiation absorption and chemical reaction effects on unsteady MHD free convective flow of a visco-elastic fluid past a vertical porous plate in the presence of variable suction and heat source is considered. A uniform magnetic field is assumed to be applied in the transverse direction of the flow. The set of non-linear partial differential equations is transformed into a set of ordinary differ...

The paper considers the visco-elastic response of ice cover in a channel under an external load moving with constant speed along center line. has rectangular cross-section finite depth and width. fluid is inviscid incompressible its motion potential. covered by thin sheet frozen to walls. thickness varies linearly symmetrically across channel, being lowest at highest Ice deflections strains are...

The present study investigates novelties brought into the classic Biot’s theory of propagation of elastic waves in a fluid-saturated porous solid by inclusion of non-Newtonian effects that are important, for example, for hydrocarbons. Based on our previous results (Tsiklauri and Beresnev, 2001), we investigated the propagation of rotational and dilatational elastic waves by calculating their ph...

Multimaterial 3D printing using microfluidic printheads specifically designed for seamless switching between two visco-elastic materials "on-the-fly" during fabrication is demonstrated. This approach opens new avenues for the digital assembly of functional matter with controlled compositional and property gradients at the microscale.