By George Karniadakis
In the previous couple of years there was major growth within the improvement of microfluidics and nanofluidics on the software in addition to on the basic and simulation degrees. This publication offers a complete precis of those alterations describing fluid stream in micro and nano configurations. the place as of their earlier publication entitled Microflows: basics and Simulation the authors coated scales from 100 nanometers to microns (and beyond), during this new ebook they talk about size scales from angstroms to microns (and beyond). whereas nonetheless keeping the emphasis on primary techniques with a mixture of semianalytical, experimental, and numerical effects, this booklet outlines their relevance to modeling and interpreting sensible units.
The textual content has been divided into 3 major topic different types: fuel flows; liquid flows; and simulation concepts .The majority of the thoroughly new advancements during this ebook are in liquid flows and simulation concepts chapters with transformed details in the course of the remainder of the publication.
This e-book can be utilized in a two-semester graduate path. additionally, chosen chapters can be utilized for a brief direction or an undergraduate-level direction. The e-book is acceptable for graduate scholars and researchers in fluid mechanics, physics, and in electric, mechanical and chemical engineering.
Review of prior quantity on Microflows from the eu magazine of Mechanics B/Fluids, 2002:
"For those that are looking to compute flows on the micro scale, this monograph is a needs to. It describes the cutting-edge and is helping through offering the coefficients, equivalent to wanted in occasions of slip. those that ask yourself what new fluid dynamics there's within the microworld are served via the evaluation of conception and treasures of numerical methods."
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Additional resources for Microflows and Nanoflows: Fundamentals and Simulation
1990) have obtained accurate numerical solutions for shear stress in the entire Knudsen regime. They also developed the following analytical solution valid for Kn → 0, using perturbation expansions 88 3. 111. , 1990). It is important to test the model for uniform convergence to the correct continuum (Kn → 0) and free-molecular (Kn → ∞) limits. 14) where the coeﬃcients of the O(Kni ) terms (i = . . , −2, −1, 1, 2, . ) are corrections to the shear stress due to diﬀerent orders of Kn dependence.
The compressible Navier-Stokes equations. The con- 60 2. 17) where µ and ζ are the dynamic (ﬁrst coeﬃcient)) and bulk (second coeﬃcient) viscosities of the ﬂuid, and δij is the Kronecker delta. 3)). This level of conservation equations deﬁnes the compressible Navier–Stokes equations. 19) where qn , qs are the normal and tangential heat ﬂux components to the wall. Also, τs is the viscous stress component corresponding to the skin friction, γ is the ratio of speciﬁc heats, uw and Tw are the reference wall velocity and temperature, respectively.
3. Tangential momentum accommodation coeﬃcient σv (TMAC) versus Knudsen number obtained from mass ﬂowrate measurements for argon (left) and for nitrogen (right). (Courtesy of K. ) In this case the molecules are reﬂected from the walls with zero average tangential velocity. Therefore, the diﬀuse reﬂection is an important case for tangential momentum exchange (and thus friction) of the gas with the walls. The tangential momentum and thermal accommodation coeﬃcients depend on the gas and surface temperatures, local pressure, and possibly the velocity and the mean direction of the local ﬂow.