... by a viscous fluid layer The fluid is Newtonian, homogeneous, of volume mass density ρ and kinematic viscosity ν . Assuming that the amplitude of the displacement remains small compared to the thickness of the fluid layer, i.e., Q i ≪ R 2 − R 1 , the nonlinear term of the Navier–Stokes...

... damping ratio ζ eff , which depends on the resonator dimensions, and is proportional to the square root of the viscosity times the fluid density. The natural frequency of the plate is given by 12 ω n = k s / m The nondimensional frequency s is given by 13 s = ( ω...

..., the governing differential equation reduces to an algebraic equation with an explicit analytical solution. Furthermore, the bulk viscosity of the damp powder does not enter this solution. Consequently, it is suggested that the rotating impervious cone is a useful geometry to measure the interfacial friction law...

... Inclusion With Imperfect Interface in Anti-Plane Shear ,” Int. J. Solids Struct. 0020-7683 , 37 , pp. 4557 – 4575 . 10.1016/S0020-7683(99)00174-2 21 09 2009 16 11 2009 19 04 2010 19 04 2010 drag elasticity interface phenomena internal stresses slip viscosity...

... and tangential velocity components of fluid particles in the rotating x ′ y ′ frame, ρ is the fluid density, P is the total pressure, ν is the kinematic viscosity, and a x ′ and a y ′ are the acceleration components of the origin of the x ′ y...

...K. Aderogba A spherical drop of viscosity μ ( 1 ) and radius a 1 is surrounded by a spherical shell of viscosity μ ( 2 ) , internal radius a 1 , and external radius a 2 , beyond which there is an unbounded matrix fluid of viscosity μ ( 3 ) . An arbitrary axisymmetric singularity acts inside...

... shear thickening and then proceeds to shear thinning. In this regime, the viscosity of the fluid is large enough that the contribution of the foam and the fluid-structure interaction to the stress response of the fluid-filled foam can be neglected. An analytically tractable lubrication model...

...Shu Takagi; Takeshi Yamada; Xiaobo Gong; Yoichiro Matsumoto In this paper, we discuss the motion of a vesicle in a linear shear flow. It is known that deformable vesicles such as liposomes show the so-called tank-treading and tumbling motions depending on the viscosity ratio between the inside...

... an electromagnetic actuator and an air bearing stage. The vibration-induced particle amplitude measurements were performed for different fluid viscosities ( 58.0 cP and 945 cP ), and cell vibration amplitudes and frequencies. A viscous fluid model was also developed to predict the vibration-induced particle motion...

... of the instability zones is carried out in the plane of the normalized particle mass and particle velocity. The focus is placed on the effect of elasticity and viscosity of the supports. An analytical validation is presented of the numerically obtained instability zones. This is done using a simplified model...

...L. G. Margolin; P. K. Smolarkiewicz; A. A. Wyszogradzki We describe a series of computational experiments that employ nonoscillatory finite volume methods to simulate the decay of high Reynolds number turbulence. These experiments cover a broad range of physical viscosities and numerical...

... turbulence to SGS portion. Thus the procedure is applied to the production term in the transport equation of K SGS , while the eddy viscosity in the filtered equation of motion is determined indirectly through K SGS . The statistically derived model for K SGS equation is adopted for the basis of our...

... component to the internal work in the simulations of Tan et al. ( 2 ) (Figs. 1 and 2) is from the artificial viscosity inherent in the explicit FE simulations using ABAQUS. Point 4: We agree that the dynamic strength of lattice cores can exceed the static strength. This can be due to rate sensitivity...

...Makoto Tsubokura Previously proposed methods for subgrid-scale (SGS) stress modeling were re-investigated and extended to SGS heat-flux modeling, and various anisotropic and isotropic eddy viscosity/diffusivity models were obtained. On the assumption that they are used in a finite-difference (FD...

...Dmitry I. Garagash; Emmanuel Detournay The paper considers the problem of a plane-strain fluid-driven fracture propagating in an impermeable elastic solid, under condition of small (relative) solid toughness or high (relative) fracturing fluid viscosity. This condition typically applies...

...Simon M. Iveson; Neil W. Page The effect of liquid viscosity, surface tension and strain rate on the deformation behavior of partially saturated granular material was studied over a ten order of magnitude range of capillary number (the ratio of viscous to capillary forces). Glass spheres of average...

... in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS . 16 September 2002 23 July 2003 05 05 2004 non-Newtonian fluids viscosity fluid dynamics compressibility The dynamical problem of a gas-filled, hyperelastic spherical shell surrounded by a viscous medium...

... MECHANICS . 02 Apr 2002 05 Aug 2003 05 05 2004 elasticity elastodynamics hydrodynamics Green's function methods chemical mechanical polishing planarisation viscosity For the problem of contact with rough surfaces, several approaches using integral transforms have been...

... modulus and viscosity from thermal softening to thermal hardening with rising temperature, which does not involve any phase change, has been observed in certain elastomers. An explanation about this interesting phenomenon is given based on thermodynamic considerations. A theoretical analysis is performed...

..., and the latter is assumed to be known. Introducing artificial time, a symmetric hyperbolic system can be easily constructed. Artificial viscosity is needed for numerical stability and is obtained from a least-squares formulation. The augmented system is solved explicitly with a standard point relaxation...