By Jeevanjyoti Chakraborty, Suman Chakraborty (auth.), Suman Chakraborty (eds.)
<em>Mechanics Over Micro and Nano Scales</em> covers the hot advancements within the fields of mechanics in all kinds over micro, meso and nano scales. unique emphasis is given to basic facets of fluid and sturdy mechanics, porous medium shipping, smooth concerns, scaling legislation, and purposes on the topic of power conversion. on the micro and nano scales, attention of many technologically achievable rules is dependent upon the skillful integration of mechanics at macroscopic and molecular degrees, either for solids in addition to fluids. learn within the comparable parts isn't any longer constrained to the certainty of the governing the physics of the procedure, yet can be liable for triggering a technological revolution at small scales. This ebook also:<br />
<ul>
<li>Discusses the basics of mechanics over micro and nano scales in a degree obtainable to multi-disciplinary researchers, with a stability of mathematical information and actual ideas </li>
<li>Covers mechanics of sentimental concerns and instabilities of skinny motion pictures over small scales in a lucid manner</li>
<li>Delineates the mechanics of porous medium shipping via an built-in approach</li>
<li>Demonstrates the categorical interconnection among a number of scale concerns and the mechanics of miniaturized systems</li>
<li>Examplifies a mechanistic perspective of meso-scale strength conversion systems<br />
</li>
</ul>
<em>Mechanics Over Micro and Nano Scales</em> is a perfect ebook for researchers and engineers operating in mechanics of either solids and fluids.
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Extra info for Mechanics Over Micro and Nano Scales
Example text
In sharp contrast to this, the velocity profile in traditional pressure gradient-driven flow is a parabolic one. The immediate advantage of this plug-like EOF profile over the parabolic case is that shear-induced axial dispersion is significantly reduced. Furthermore, the EOF velocity is not dependent on the geometrical dimensions unlike the pressure gradient-driven velocity which decreases with the second power of channel size. 1 Fig. 5 2 26 J. Chakraborty and S. Chakraborty circuitry in lab-on-a-chip devices, is the primary motivation of using EOF in miniaturized systems.
Chakraborty Fig. 9 Stretching of a surface – evaluation of the pressure difference across a curved interface dz such that in this new position the portion which was ABCD becomes A B C D . The arc lengths now become x + dx and y + dy. 135) Equating the change in energy with the work done due to the pressure differential p, it follows that dG = dw or, dG = pdV or, γ (xdy + ydx) = We notice from Fig. 139) This is the famous Laplace equation. The mathematical development we have presented until now is restricted to cases where bulk internal forces due to gravity, electric field, and so on can be neglected.
154) Here, λ is obtained from potential flow solution for a droplet of radius r ready to enter a capillary and its value depends on the capillary geometry. For the present case of a cylindrical tube λ ≈ 3ρπr3 8. The complete physical argument behind this artifice of considering an added mass can be found in Zhmud et al. [17]. Furthermore, the steps required to solve this equation numerically are also elaborated in the same reference. We have only scratched the surface of this important phenomenon and the models pertaining to various microfluidic applications – electrowetting, electrocapillary, thermocapillary, to name just a few.