Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
3rd Edition
ISBN: 9780133593211
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 5RQ
- 5. The Biot number (Bi) is the dimensionless parameter describing if the temperature of an object will vary significantly in space. It depends on the following quantities.
h = heat transfer coefficient [=] W/(m2 °C)
LC = volume of object/surface area of object [=] m3/m2 =m
k = thermal conductivity [=] W / (m K)
Use your knowledge of dimensions to determine the proper form of the Biot number, choosing from the options below.
- A.
- B. Bi = hLCk
- C.
- D.
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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.
physical quantities m, r, u, a, and t with dimensions [m] = M, [r]= L, [v] = LT, [a] = LT-2, and [t] = T.
Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L,
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Chapter 9 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
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