The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M Gad el Hak Part 3 pptx
The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 3 pptx
... process. The present section discusses molecular-based models and their relation to the continuum models previously considered. The most fundamental of the molecular models is deterministic. The motion ... Isotropic Fluid,” J. Fluids Eng. 117, pp. 3 5. Gad- el- Hak, M. (1999) The Fluid Mechanics of Microdevices: The Freeman Scholar Lecture,” J. Fluids Eng. 121, pp. 5 33 . G...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 13 pptx
... Uncertain Dynamical Systems,” SIAM J. Control Optimization 21, pp. 246 35 5. 1 4 -3 0 MEMS: Introduction and Fundamentals © 2006 by Taylor & Francis Group, LLC 14 .3. 3 Basic Robust Control The main idea motivating ... in the clockwise direction the same number of times that there are zeros of G(s)within the contour minus the number of times that there are 1 ᎏ K 1 ᎏ 1 ϩ K...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 2 doc
... polysilicon, electroplated nickel, and A- 533 B steel. These are from microspecimens tested in the author’s laboratory. 20 m (a) ( b ) FIGURE 3. 12 Microstructure of two common MEMS materials. Note the ... films fabricated in the shapes of beams and plates by comparing the measured curvatures. These were two-layer composite Mechanical Properties of MEMS Materials 3- 9 1 mm FIG...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 4 pps
... and σ T are the tangential momentum and thermal accommodation coef- ficients respectively. The accommodation coefficients model the momentum and energy exchange of gas mol- ecules impinging on the walls. ... of the membrane. We see that a two- to three-orders of magnitude speed-up can be obtained using the graph-based algorithm. 5 .3. 3 The Structural Simulator The membrane of...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 5 ppsx
... of the Navier–Stokes equations, as well as the molecular interaction models of the MD and the DSMC methods. Although it may seem that the molecular simulation methods are more fundamental, they require ... particularly important for simulation of gas flows in MEMS components. If we consider a micromotor or a micro-comb-drive mechanism, gas flow in most of the device can be simul...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 6 potx
... and Ducts at Micro and Nano Scales,” Microscale Thermophys. Eng. 3, p. 43. Beskok, A. (2002) “Molecular-Based Microfluidic Simulation Models,” in Handbook of MEMS, 1st ed., M. Gad- el- Hak, ed., CRC ... above Mach numbers of approximately two. Furthermore, the application of the 1 3- or 35 -moment systems to three-dimensional problems remains computationally prohibitive at pr...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 7 pdf
... dynamics models beyond Navier–Stokes are needed. These models are known as extended, or generalized, hydrodynamics models in the literature. Some of these models are the Burnett equations; 1 3- moment ... m. The first-order 8-2 8 MEMS: Introduction and Fundamentals y/y max 0.0 0.5 1.0 0.0 1.0 2.0 3. 0 4.0 5.0 x/y max FIGURE 8.29 Microchannel geometry and grid. y/y max 1.0 0.5 0...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 9 ppsx
... Taylor & Francis Group, LLC 1 1-2 MEMS: Introduction and Fundamentals attention of MEMS researchers since the early days of MEMS development, and there have been several demonstrations of micromotors ... field). Sample ions migrate from the high-field–high-drift-velocity of the sample region to the low-field–low-drift-velocity region and accumulate, or stack, at the i...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 10 pps
... Because the MEMS constraint is the minimum gap dimension, the wave bearing in a MEMS machine can be implemented only by selectively enlarging the bearing gap. Piekos (2000) ana- lyzed the performance ... along with the theoretical predictions based on the assumed geometry. The right-hand frame shows the same measurements compared with the same model but using slightly...
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The MEMS Handbook Introduction & Fundamentals (2nd Ed) - M. Gad el Hak Part 11 ppsx
... BH) 2 1 ᎏ 2 1 2 -3 2 MEMS: Introduction and Fundamentals © 2006 by Taylor & Francis Group, LLC 1 2-6 MEMS: Introduction and Fundamentals FIGURE 12.4 Infrared images of various states as seen in the experiments. ... parameters. ∂φ ᎏ ∂ h σ a 2 ᎏ d 2 ∂φ ᎏ ∂ h 1 ᎏ 3 1 ᎏ 3 1 ᎏ 3 1 2-2 2 MEMS: Introduction and Fundamentals © 2006 by Taylor & Francis Group, LLC sp...
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