By Morton E. Gurtin (Eds.)
This e-book provides an creation to the classical theories of continuum mechanics; particularly, to the theories of excellent, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. those theories are very important, not just simply because they're acceptable to a majority of the issues in continuum mechanics bobbing up in perform, yet simply because they shape a high-quality base upon which one could comfortably build extra complicated theories of fabric habit. additional, even supposing awareness is restricted to the classical theories, the therapy is glossy with a massive emphasis on foundations and constitution
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Additional info for An Introduction to Continuum Mechanics
5 are on the top and bottom surfaces of the microchannel and do not significantly impede or manipulate the fluid flow. This system is optimized for a particular set of cells such that the applied signals generate the strongest dielectrophoretic forces; this system will operate with the maximum possible applied flow rate for more effective processing. The system, though, will be selective to a set of cells with the same or similar dielectric properties. This process is obviously advantageous for an application that selectively separates cells based on their dielectric properties.
By varying both the medium conductivity and the applied frequency, the changes in a particle’s induced dielectrophoretic behavior can be visually observed. The electric field can induce higher order poles, called multipoles, instead of the assumed dipole. This occurs when the electric field is highly nonuniform, for example, when the electrode geometry is on the same length scale as the particle or when a particle is in a field null. For most applications, though, the dipole assumption accurately depicts the behavior of the particle.
This process is obviously advantageous for an application that selectively separates cells based on their dielectric properties. Additionally, this system can simultaneously separate and trap targeted cells for Outlet O ut Electrodes Inlet arrangements and cell concentration can be varied to trap both single cells and groups of cells alike. However, there are dielectrophoretic interactions that cannot be ignored for trapping applications. Multipoles may need to be considered for single-particle traps since the generated field will have inhomogeneities on the scale of the particle itself.
An Introduction to Continuum Mechanics by Morton E. Gurtin (Eds.)