Viscous Fluids

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Sri Venkata Surya Siva Rama Krishna Garimella - One of the best experts on this subject based on the ideXlab platform.

  • hydrodynamic loading of microcantilevers vibrating in Viscous Fluids
    Journal of Applied Physics, 2006
    Co-Authors: Sudipta Basak, Arvind Raman, Sri Venkata Surya Siva Rama Krishna Garimella
    Abstract:

    The hydrodynamic loading of elastic microcantilevers vibrating in Viscous Fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model. The quality factors and added mass coefficients of several modes are computed accurately from the transient oscillations of the microcantilever in the fluid. The effects of microcantilever geometry, operation in higher bending modes, and orientation and proximity to a surface are analyzed in detail. The results indicate that in an infinite medium, microcantilever damping arises from localized fluid shear near the edges of the microcantilever. Closer to the surface, however, the damping arises due to a combination of squeeze film effects and Viscous shear near the edges. The dependence of these mechanisms on microcantilever geometry and orientation in the proximity of a surface are discussed. The results provide a comprehensive understanding of the hydrodynamic loading of microcantilevers in Viscous Fluids and are expected to be of immediate interest in atomic force microscopy and microcantilever biosensors. © 2006 American Institute of Physics. DOI: 10.1063/1.2202232

  • hydrodynamic loading of microcantilevers vibrating in Viscous Fluids
    Journal of Applied Physics, 2006
    Co-Authors: Sudipta Basak, Arvind Raman, Sri Venkata Surya Siva Rama Krishna Garimella
    Abstract:

    The hydrodynamic loading of elastic microcantilevers vibrating in Viscous Fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model. The quality factors and added mass coefficients of several modes are computed accurately from the transient oscillations of the microcantilever in the fluid. The effects of microcantilever geometry, operation in higher bending modes, and orientation and proximity to a surface are analyzed in detail. The results indicate that in an infinite medium, microcantilever damping arises from localized fluid shear near the edges of the microcantilever. Closer to the surface, however, the damping arises due to a combination of squeeze film effects and Viscous shear near the edges. The dependence of these mechanisms on microcantilever geometry and orientation in the proximity of a surface are discussed. The results provide a comprehensive understanding of the hydrodynamic loading of microcantilevers in Viscous Fluids and are expected to be of immediate interest in atomic force microscopy and microcantilever biosensors.

Sudipta Basak - One of the best experts on this subject based on the ideXlab platform.

  • hydrodynamic loading of microcantilevers vibrating in Viscous Fluids
    Journal of Applied Physics, 2006
    Co-Authors: Sudipta Basak, Arvind Raman, Sri Venkata Surya Siva Rama Krishna Garimella
    Abstract:

    The hydrodynamic loading of elastic microcantilevers vibrating in Viscous Fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model. The quality factors and added mass coefficients of several modes are computed accurately from the transient oscillations of the microcantilever in the fluid. The effects of microcantilever geometry, operation in higher bending modes, and orientation and proximity to a surface are analyzed in detail. The results indicate that in an infinite medium, microcantilever damping arises from localized fluid shear near the edges of the microcantilever. Closer to the surface, however, the damping arises due to a combination of squeeze film effects and Viscous shear near the edges. The dependence of these mechanisms on microcantilever geometry and orientation in the proximity of a surface are discussed. The results provide a comprehensive understanding of the hydrodynamic loading of microcantilevers in Viscous Fluids and are expected to be of immediate interest in atomic force microscopy and microcantilever biosensors. © 2006 American Institute of Physics. DOI: 10.1063/1.2202232

  • hydrodynamic loading of microcantilevers vibrating in Viscous Fluids
    Journal of Applied Physics, 2006
    Co-Authors: Sudipta Basak, Arvind Raman, Sri Venkata Surya Siva Rama Krishna Garimella
    Abstract:

    The hydrodynamic loading of elastic microcantilevers vibrating in Viscous Fluids is analyzed computationally using a three-dimensional, finite element fluid-structure interaction model. The quality factors and added mass coefficients of several modes are computed accurately from the transient oscillations of the microcantilever in the fluid. The effects of microcantilever geometry, operation in higher bending modes, and orientation and proximity to a surface are analyzed in detail. The results indicate that in an infinite medium, microcantilever damping arises from localized fluid shear near the edges of the microcantilever. Closer to the surface, however, the damping arises due to a combination of squeeze film effects and Viscous shear near the edges. The dependence of these mechanisms on microcantilever geometry and orientation in the proximity of a surface are discussed. The results provide a comprehensive understanding of the hydrodynamic loading of microcantilevers in Viscous Fluids and are expected to be of immediate interest in atomic force microscopy and microcantilever biosensors.

E. A. Kuznetsov - One of the best experts on this subject based on the ideXlab platform.

  • mixed lagrangian eulerian description of vortical flows for ideal and Viscous Fluids
    Journal of Fluid Mechanics, 2008
    Co-Authors: E. A. Kuznetsov
    Abstract:

    It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid is equivalent to the equations of motion of a charged compressible fluid moving due to a self-consistent electromagnetic field. The velocity of new auxiliary fluid coincides with the velocity component normal to the vorticity line for the primitive equations. Therefore this new hydrodynamics represents hydrodynamics of vortex lines. Their compressibility reveals a new mechanism for three-dimensional incompressible vortical flows connected with breaking (or overturning) of vortex lines which can be considered as one of the variants of collapses. Transition to the Lagrangian description in the new hydrodynamics corresponds, for the original Euler equations, to a mixed Lagrangian-Eulerian description - the vortex line representation (VLR). The Jacobian of this mapping defines the density of vortex lines. It is shown also that application of VLR to the Navier-Stokes equations results in an equation of diffusive type for the Cauchy invariant. The diffusion tensor for this equation is defined by the VLR metric.

  • vortex line representation for flows of ideal and Viscous Fluids
    arXiv: Fluid Dynamics, 2002
    Co-Authors: E. A. Kuznetsov
    Abstract:

    It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid coincides with the equations of motion of a charged {\it compressible} fluid moving due to a self-consistent electromagnetic field. Transition to the Lagrangian description in a new hydrodynamics is equivalent for the original Euler equations to the mixed Lagrangian-Eulerian description - the vortex line representation (VLR). Due to compressibility of a "new" fluid the collapse of vortex lines can happen as the result of breaking (or overturning) of vortex lines. It is found that the Navier-Stokes equation in the vortex line representation can be reduced to the equation of the diffusive type for the Cauchy invariant with the diffusion tensor given by the metric of the VLR.

  • vortex line representation for flows of ideal and Viscous Fluids
    Jetp Letters, 2002
    Co-Authors: E. A. Kuznetsov
    Abstract:

    The Euler hydrodynamics describing the vortex flows of ideal Fluids is shown to coincide with the equations of motion obtained for a charged compressible fluid moving under the effect of a self-consistent electromagnetic field. For the Euler equations, the passage to the Lagrange description in the new hydrodynamics is equivalent to a combined Lagrange-Euler description, i.e., to the vortex line representation [5]. Owing to the compressibility of the new hydrodynamics, the collapse of a vortex flow of an ideal fluid can be interpreted as a result of the breaking of vortex lines. The Navier-Stokes equation formulated in terms of the vortex line representation proves to be reduced to a diffusion-type equation for the Cauchy invariant with the diffusion tensor determined by the metric of this representation.

Daniele Dini - One of the best experts on this subject based on the ideXlab platform.

  • marangoni effect on small amplitude capillary waves in Viscous Fluids
    Physical Review E, 2017
    Co-Authors: Li Shen, Fabian Denner, Berend Van Wachem, Neal Morgan, Daniele Dini
    Abstract:

    We derive a general integro-differential equation for the transient behavior of small-amplitude capillary waves on the planar surface of a Viscous fluid in the presence of the Marangoni effect. The equation is solved for an insoluble surfactant solution in concentration below the critical micelle concentration undergoing convective-diffusive surface transport. The special case of a diffusion-driven surfactant is considered near the the critical damping wavelength. The Marangoni effect is shown to contribute to the overall damping mechanism, and a first-order term correction to the critical wavelength with respect to the surfactant concentration difference and the Schmidt number is proposed.

Qi Wang - One of the best experts on this subject based on the ideXlab platform.

  • a decoupled energy stable scheme for a hydrodynamic phase field model of mixtures of nematic liquid crystals and Viscous Fluids
    Journal of Computational Physics, 2016
    Co-Authors: Jia Zhao, Xiaofeng Yang, Jie Shen, Qi Wang
    Abstract:

    We develop a linear, first-order, decoupled, energy-stable scheme for a binary hydrodynamic phase field model of mixtures of nematic liquid crystals and Viscous Fluids that satisfies an energy dissipation law. We show that the semi-discrete scheme in time satisfies an analogous, semi-discrete energy-dissipation law for any time-step and is therefore unconditionally stable. We then discretize the spatial operators in the scheme by a finite-difference method and implement the fully discrete scheme in a simplified version using CUDA on GPUs in 3 dimensions in space and time. Two numerical examples for rupture of nematic liquid crystal filaments immersed in a Viscous fluid matrix are given, illustrating the effectiveness of this new scheme in resolving complex interfacial phenomena in free surface flows of nematic liquid crystals.