EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Textbook Question
Chapter 29, Problem 6RQ
What is the main limitation to successful application of MEMS?
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Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6
0.4-
0.2
0.0
00
-0.2
-0.4
-0.6-
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.
Question 2
Figure 3 shows the numerical solution of the advection equation for a scalar u along x at three
consecutive timesteps.
1.0
0.8-
0.6-
0.4-
0.2-
0.0-
-0.2-
-0.4-
-0.6
3.0
3.5
4.0
4.5
5.0
5.5
6.0
6.5
Figure 3: Advection equation, solution for three different timesteps.
a) Provide an explanation what conditions and numerical setup could explain the curves. Identify
which of the three curves is the first, second and third timestep.
b) Consider explicit schemes with central and upwind discretisations. Explain how each of these
candidate discretisations could produce the behaviour shown in Figure 3.
c) Determine the CFL number that was used in the simulation for each of the candidate schemes for
all possible updates.
Assume that the timestep and mesh-width used are constant. Read the data to two digits of
accuracy from Figure 4 shown at the end of the question, which is an enlarged version of Figure 3.
Demonstrate your method and input data for one calculation, but then use a…
answer please
Chapter 29 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 29 - Define MEMS, SIMPLE, SCREAM, and HEXSIL.Ch. 29 - Give three examples of common...Ch. 29 - Why is silicon often used with MEMS devices?Ch. 29 - Describe bulk and surface micromachining.Ch. 29 - What is the purpose of a spacer layer in...Ch. 29 - What is the main limitation to successful...Ch. 29 - What are common applications for MEMS andMEMS...Ch. 29 - Prob. 8RQCh. 29 - Prob. 9RQCh. 29 - Explain the differences between stereolithography...
Ch. 29 - What is MolTun? What are its main advantages?Ch. 29 - What is HEXSIL?Ch. 29 - What do SIMPLE and SCREAM stand for?Ch. 29 - Describe the difference between isotropic etching...Ch. 29 - Lithography produces projected shapes, so true...Ch. 29 - Which process or processes in this chapter allow...Ch. 29 - What is the difference between chemically reactive...Ch. 29 - The MEMS devices discussed in this chapter are...Ch. 29 - Explain how you would produce a spur gear if...Ch. 29 - Prob. 20QLPCh. 29 - Prob. 21QLPCh. 29 - Prob. 22QLPCh. 29 - Is there an advantage to using the MolTun process...Ch. 29 - The atomic-force microscope probe shown inFig....Ch. 29 - Estimate the natural frequency of the cantilever...Ch. 29 - Using data from Chapter 28, derive the time needed...Ch. 29 - It is desired to produce a 500 m by 500...Ch. 29 - If the Reynolds number for water flow through a...Ch. 29 - Prob. 30SDPCh. 29 - Prob. 31SDPCh. 29 - Prob. 32SDPCh. 29 - Design a micromachine or device that allows the...Ch. 29 - Conduct a literature search and determine the...Ch. 29 - Perform a literature search and write a...
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- Provide an explanation what conditions and numerical setup could explain the curves. Identify which of the three curves is the first. second and third timestep.arrow_forwardWhat are the accompanving boundary conditions for this bar?arrow_forward1.1 Consider the fireclay brick wall of Example 1.1 that is operating under different thermal conditions. The tem- perature distribution, at an instant in time, is T(x) = a+ bx where a 1400 K and b = -1000 K/m. Determine the heat fluxes, q", and heat rates, q, at x = 0 and x = L. Do steady-state conditions exist?arrow_forward
- 2.4 To determine the effect of the temperature dependence of the thermal conductivity on the temperature dis- tribution in a solid, consider a material for which this dependence may be represented as k = k₁ + aT where k, is a positive constant and a is a coefficient that may be positive or negative. Sketch the steady-state temperature distribution associated with heat transfer in a plane wall for three cases corresponding to a > 0, a = 0, and a < 0.arrow_forward1.21 A one-dimensional plane wall is exposed to convective and radiative conditions at x = 0. The ambient and sur- rounding temperatures are T = 20°C and Tur = 40°C, respectively. The convection heat transfer coefficient is h=20 W/m² K, and the absorptivity of the exposed sur- face is α=0.78. Determine the convective and radiative heat fluxes to the wall at x = 0 if the wall surface tem- perature is T, = 24°C. Assume the exposed wall surface is gray, and the surroundings are large.arrow_forward1.12 You've experienced convection cooling if you've ever extended your hand out the window of a moving vehi- cle or into a flowing water stream. With the surface of your hand at a temperature of 30°C, determine the con- vection heat flux for (a) a vehicle speed of 40 km/h in air at -8°C with a convection coefficient of 40 W/m² K and (b) a velocity of 0.2 m/s in a water stream at 10°C with a convection coefficient of 900 W/m²K. Which condition would feel colder? Contrast these results with a heat flux of approximately 30 W/m² under normal room conditions.arrow_forward
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