From the free surface flow of a viscoelastic fluid towards the elastic deformation of a solid
نویسنده
چکیده
The free surface flow of an Oldroyd-B viscoelastic fluid is considered, following [1]. When removing a term in the extra-stress constitutive relation, the description of an elastic incompressible solid is obtained, in Eulerian coordinates, with the velocity field as unknown, rather than the usual deformation field. Two simulations are proposed, a bouncing ball and an oscillating beam.
منابع مشابه
Reflection and Transmission of Longitudinal Wave at Micropolar Viscoelastic Solid/Fluid Saturated Incompressible Porous Solid Interface
In this paper, the reflection and refraction of longitudinal wave from a plane surface separating a micropolar viscoelastic solid half space and a fluid saturated incompressible half space is studied. A longitudinal wave (P-wave) impinges obliquely at the interface. Amplitude ratios for various reflected and transmitted waves have been obtained. Then these amplitude ratios have been computed nu...
متن کاملDynamic Instability of Visco-SWCNTs Conveying Pulsating Fluid Based on Sinusoidal Surface Couple Stress Theory
In this study, a realistic model for dynamic instability of embedded single-walled nanotubes (SWCNTs) conveying pulsating fluid is presented considering the viscoelastic property of the nanotubes using Kelvin–Voigt model. SWCNTs are placed in longitudinal magnetic fields and modeled by sinusoidal shear deformation beam theory (SSDBT) as well as modified couple stress theory. The effect of slip ...
متن کاملA finite elements study on the role of primary cilia in sensing mechanical stimuli to cells by calculating their response to the fluid flow
The primary cilium which is an organelle in nearly every cell in the vertebrate body extends out of the cell surface like an antenna and is known as cell sensor of mechanical and chemical stimuli. In previous numerical simulations, researchers modeled this organelle as a cantilevered beam attached to the cell surface. In the present study, however, we present a novel model that accommodates for...
متن کاملConcerning the Effect of a Viscoelastic Foundation on the Dynamic Stability of a Pipeline System Conveying an Incompressible Fluid
In this paper, we present an analytical method for solving a well-posed boundary value problem of mathematical physics governing the vibration characteristics of an internal flow propelled fluid-structure interaction where the pipeline segment is idealized as an elastic hollow beam conveying an incompressible fluid on a viscoelastic foundation. The effect of Coriolis and damping forces on the o...
متن کاملWave Propagation Approach to Fluid Filled Submerged Visco-Elastic Finite Cylindrical Shells
Multi-layer orthotropic finite cylindrical shells with a viscoelastic core in contact with fluids are gaining increasing importance in engineering. Vibrational control of these structures is essential at higher modes. In this study, an extended version of the wave propagation approach using first-order shear deformation theory of shell motion is employed to examine the free vibration of damped ...
متن کامل