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Table Of Integrals Series And Products

基礎講座 電気泳動(Electrophoresis)

A methodology is introduced for predicting the effective thermal conductivity of arbitrary particulate composites with interfacial thermal resistance in terms of an effective medium approach combined with the essential concept of Kapitza thermal contact resistance. Results of the present model are compared to existing models and available experimental results. The proposed approach rediscovers the existing theoretical results for simple limiting cases. The comparisons between the predicted and experimental results of particulate diamond reinforced ZnS matrix and cordierite matrix composites and the particulate SiC reinforced Al matrix composite show good agreement. Numerical calculations of these different sets of composites show very interesting predictions concerning the effects of the particle shape and size and the interfacial thermal resistance.

Effective thermal conductivity of particulate composites with interfacial thermal resistance

This study provides a detailed literature review and an assessment of results of the research and development work forming the current status of nanofluid technology for heat transfer applications. Nanofluid technology is a relatively new field, and as such, the supporting studies are not extensive. Specifically, experimental results were reviewed in this study regarding the enhancement of the thermal conductivity and convective heat transfer of nanofluids relative to conventional heat transfer fluids, and assessments were made as to the state-of-the-art of verified parametric trends and magnitudes. Pertinent parameters of particle volume concentration, particle material, particle size, particle shape, base fluid material, temperature, additive, and acidity were considered individually, and experimental results from multiple research groups were used together when assessing results. To this end, published research results from many studies were recast using a common parameter to facilitate comparisons of data among research groups and to identify thermal property and heat transfer trends. The current state of knowledge is presented as well as areas where the data are presently inconclusive or conflicting. Heat transfer enhancement for available nanofluids is shown to be in the 15-40% range, with a few situations resulting in orders of magnitude enhancement.

Review and Comparison of Nanofluid Thermal Conductivity and Heat Transfer Enhancements

Preface Introduction 1. Fluid field equations and modal analysis in rigid containers 2. Linear forced sloshing 3. Viscous damping and sloshing suppression devices 4. Weakly nonlinear lateral sloshing 5. Equivalent mechanical models 6. Parametric sloshing (Faraday's waves) 7. Dynamics of liquid sloshing impact 8. Linear interaction of liquid sloshing with elastic containers 9. Nonlinear interaction under external and parametric excitations 10. Interactions with support structures and tuned sloshing absorbers 11. Dynamics of rotating fluids 12. Microgravity sloshing dynamics Bibliography Index.

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Liquid Sloshing Dynamics

Imperfect soft and stiff interfaces in two-dimensional elasticity

The effective conductivity of composites with imperfect thermal contact at constituent interfaces

The effective conductivity of composite media with ellipsoidal inhomogeneities and highly conducting interfaces is studied. At such interfaces the temperature field is continuous, but the normal component of the heat flux undergoes a discontinuity which is proportional to the local surface Laplacian of the temperature field. The dilute approximation for the case of ellipsoidal inhomogeneities in such circumstances is derived. The derivation involves the solution of an auxiliary problem of a single particle embedded in an infinite medium and employs ellipsoidal harmonics. This solution is also used to derive a mean–field approximation for non–dilute concentrations.

On the effective conductivity of composites with ellipsoidal inhomogeneities and highly conducting interfaces

A physical model, supported by field experiments, predicts that body and substratum morphology of benthic organisms can determine the particle composition encountered by the organisms. The model is based on the velocity gradient of boundary-layer flows, its resultant particle distribution, and the flow pattern induced by bluff bodies (benthic organisms and substrata). The various body morphologies of benthic organisms can be divided into two categories of slenderness ratio (SR-height to width ratio of the body plane normal to the flow) that induct two distinct ambient flow patterns. Ascending flow is induced by low-SR body morphologies and diverging flow by high-SR morphologies. The model predicts, based on the induced flow pattern, that high-SR bodies encounter higher fluxes of fine suspended particles, whereas low-SR bodies encounter higher fluxes of bedload particles. We suggest, therefore, that high-SR species arc suspension feeders, and low-SR species are coarse particle or bedload feeders.

Flow patterns induced by substrata and body morphologies of benthic organisms, and their roles in determining availability of food particles

Utilization of active colloids to transport both biological and inorganic cargo has been widely examined in the context of applications ranging from targeted drug delivery to sample analysis. In general, carriers are customized to load one specific target via a mechanism distinct from that driving the transport. Here we unify these tasks and extend loading capabilities to include on-demand selection of multiple nano/micro-sized targets without the need for pre-labelling or surface functionalization. An externally applied electric field is singularly used to drive the active cargo carrier and transform it into a mobile floating electrode that can attract (trap) or repel specific targets from its surface by dielectrophoresis, enabling dynamic control of target selection, loading and rate of transport via the electric field parameters. In the future, dynamic selectivity could be combined with directed motion to develop building blocks for bottom-up fabrication in applications such as additive manufacturing and soft robotics.

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Touvia Miloh

Papers

Imperfect soft and stiff interfaces in two-dimensional elasticity

The effective conductivity of composites with imperfect thermal contact at constituent interfaces

On the effective conductivity of composites with ellipsoidal inhomogeneities and highly conducting interfaces

Flow patterns induced by substrata and body morphologies of benthic organisms, and their roles in determining availability of food particles

Active colloids as mobile microelectrodes for unified label-free selective cargo transport.