Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 9, Problem 11RQ
  1. 11. When a fluid flows slowly across a flat plate and transfers heat to the plate, the following variables are important. Analyze this system using Rayleigh’s method.
ρ = Liquid density [=] kg/m3
Cp = Specific heat of liquid [=] J/(g oC)
µ = Liquid viscosity [=] kg/(m s)
k = Thermal conductivity of the plate [=] W/(m oC)
h = Heat transfer coefficient [=] W/(m2 °C)
x = Distance from edge of the plate [=] m
v = Liquid velocity [=] m/s
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An elastic foundation is often used to support heavy machinery that vibrates in such a way to cause problems for the rest of the structure. An elastic foundation with two equal springs each of stiffness k = 600 lbs/in is used to support the equipment of weight W = 1000 lbs shown. The equipment vibrates in such a way that it causes a vertical forcing function P(t) = 100 sin(20t) [lbs]. %3D (a) Draw the degree of freedom for the motion of the machinery. (b) Determine the equation of motion. What type of motion is this? (c) Determine the natural frequency and the displacement of the machinery. (d) What is the maximum amount of force that will be felt by the rest of the structure? (Think about what causes force to the rest of the structure) Rest of structure Hww
answer b
3. Consider the following equation. All three of the terms in parentheses are dimensionless groups. Because kc is difficult to determine directly, the other variables are measured and kc is calculated from the given equation. 26 THERMODYNAMICS 1 MODULE 1 FUNDAMENTAL CONCEPTS ]3 [ _d>vp_jo8 p DAB kc D = 0.023 [H DAB What is the estimated value of kc? What are the units of kc? Show your work. The following values were measured: D = 8.0 mm, DAB = 0.475 cm²/s, µ = 1.12 x 103 N-s/m², p = 1.00 x 10-³ g/cm³, v = 15.0 m/s.

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