By George Em Karniadakis, Ali Beskok, Narayan Aluru
Topic quarter has witnessed explosive progress over the last decade and the know-how is progressing at an astronomical price. past version was once first to concentration completely on movement physics inside of microdevices. It bought over 900 copies in North the United States when you consider that 11/01. re-creation is forty percentage longer, with 4 new chapters on contemporary issues together with Nanofluidics.
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Additional info for Microflows and Nanoflows: Fundamentals and Simulation (Interdisciplinary Applied Mathematics, 29)
It is interesting to see that the velocity slip eﬀect is more pronounced in the low Reynolds number regime. 7)). 373. For liquids the noncontinuum behavior is more diﬃcult to detect. , diﬀerent diﬀusion in the near-wall region than in the bulk, and is associated with the rheology of the liquid. Early studies by (Debye and Cleland, 1959) with paraﬃn in porous Vycor glass indicated the presence of a slipping adsorbed thin layer. This could either increase or decrease the pressure drop compared to the continuum behavior; both C ∗ < 1 and C ∗ > 1 were measured.
1 Molecular Magnitudes In this section we present relationships for the number density of molecules n, mean molecular spacing δ, molecular diameter d, mean free path λ, mean collision time tc , and mean-square molecular speed c¯ for gases. 02252 × 1023 /mole, and the volume occupied by a mole of gas at a given temperature and pressure is constant irrespective of the composition of the gas (Vincenti and Kruger, 1977). 3) 14 1. 3805 × 10−23 J/K). This ideal gas law is valid for dilute gases at any pressure (above the saturation pressure and below the critical point).
This system is made up of a micropump, a microﬂow sensor, and an electronic control circuit. The electronic circuit may be used to adjust the pump ﬂowrate so that a constant ﬂow is maintained in a microchannel. The simulation of the complete system requires models for the micropump, the microﬂow sensor, and the electronic components associated with the control circuit. Another example of an integrated system is the large-scale integration of microﬂuidic channels on a chip. 31). These ﬂuidic devices are analogous to electronic integrated circuits fabricated using large-scale integration.
Microflows and Nanoflows: Fundamentals and Simulation (Interdisciplinary Applied Mathematics, 29) by George Em Karniadakis, Ali Beskok, Narayan Aluru