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
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 2RQ
- 2. While researching fluid dynamics, you came across a reference to the dimensionless number called the capillary number, given by the equation below.
where:
µ = fluid viscosity [=]g/ (ms)
υ = velocity [=] ft/s
What are the dimensions of gamma, γ?
Expert Solution & Answer
Trending nowThis is a popular solution!
Learn your wayIncludes step-by-step video
schedule03:45
Students have asked these similar questions
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,
T, and exponents.
Assume that each of the following equations is dimensionally consistent.
F = ma
[F] =
To understand the heat transfer from a bar in cross flow, you conduct a series of
experiments measuring the average heat transfer coefficient as a function of the free stream
velocity. A schematic of the experiment and the accompanying results are shown below.
L = 0.3 m
h [W/m²-K]
60
40
V [m/s]
20
15
a) You expect the important dimensionless parameters to be related by a function of
the form
Nu = CRe Pr
where C, m, and n are constants. The film temperature in both the experiments is
approximately the same. Use the given experimental results to determine the
constant m
b) Calculate h for L = 0.75 m and V = 30 m/s.
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.
Chapter 9 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Ch. 9.2 - The heat loss (Q/t, in units of joules per second...Ch. 9.2 - Prob. 2CCCh. 9.2 - What are the dimensions of the value 6 in the...Ch. 9.4 - The Euler number is a function of the pressure...Ch. 9 - Prob. 1ICACh. 9 - Prob. 2ICACh. 9 - Prob. 3ICACh. 9 - Prob. 4ICACh. 9 - A fluid with a specific gravity of 0.91 and a...Ch. 9 - Brine, with a density of 1.25 grams per cubic...
Ch. 9 - When a simple turbine is used for mixing, the...Ch. 9 - Prob. 8ICACh. 9 - Prob. 9ICACh. 9 - 1. While researching fluid dynamics, you come...Ch. 9 - 2. While researching fluid dynamics, you came...Ch. 9 - 3. While researching fluid dynamics, you come...Ch. 9 - 4. The Arrhenius number (Ar) is the dimensionless...Ch. 9 - 5. The Biot number (Bi) is the dimensionless...Ch. 9 - 6. A biodegradable fuel having a specific gravity...Ch. 9 - 7. A sludge mixture having a specific gravity of...Ch. 9 - 8. Water (specific gravity = 1.02; viscosity =...Ch. 9 - Prob. 9RQCh. 9 - 10. The Peclet number is used in heat transfer in...Ch. 9 - 11. When a fluid flows slowly across a flat plate...Ch. 9 - 12. In modeling the flow of liquid in a piping...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
The magnitude of forces F1, F2, and F3 for equilibrium.
Engineering Mechanics: Statics & Dynamics (14th Edition)
Determine the magnitude of the resultant force acting on the plate and its direction, measured counter-clockwis...
Engineering Mechanics: Statics
The copper pipe has an outer diameter of 40 mm and an inner diameter of 37 mm. If it is tightly secured to the ...
Statics and Mechanics of Materials (5th Edition)
The thin-walled cylinder can be supported in one of two ways as shown. Determine the state of stress in the wal...
Mechanics of Materials
Determine its density in SI units. Use an appropriate prefix.
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
If the block is traveling up the inclined plane with a constant velocity v = 5 m/s, determine the power of forc...
Engineering Mechanics: Dynamics (14th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Example: Give the primary dimensions ([T]: Time. [MI: Mass and [L]: Length) and one of suggested units of the following magnitudes based on the mentioned definition. Use the definitions explained below to conclude the required information: X3 = mumber elongation (elevationxweight /volum)time depthxaccelaration X2 = X1 = mass/volum stress mumber length shear forcextime velocity X4 = X5 = thickness area area/time L2 m3 [X1] MX T2 kgarrow_forwardVelocity, v [m/s] (0,vo) Number Time, t [s] m (t₁,V₁) Given the above figure, where v0 = 3 m/s, v₁= 5 m/s, and t₁= 5 s, what is the displacement over this time interval? Write your answer in metres to three significant figures. BY SA USask Engineeringarrow_forwardCheck the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=arrow_forward
- . I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.arrow_forwardA particle of mass 133 kg is traveling on a constant radius 1.1 m with a angle of 0.23*sin(0.35t). 1. What is the transverse speed at 2.6 seconds? [m.s-1] 2. What is the radial force at 2.6 seconds? [N] 3. What is the transverse force on the particle at 2.6 seconds? [Narrow_forwardCheck the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i iarrow_forward
- Example: Give the primary dimensions (T): Time. [Ml: Mass and (: Length) and one of suggested units of the following magnitudes based on the mentioned definition. Use the definitions explained below to conclude the reguired information: depthxaccelaration (elevation xweight /volum time X2 = X1 = X3 = stress mumber elongation mumber length mass/volum X4 = X5 = shear forcextime velocity area/time area thicknessarrow_forwardLiquid flows through an equilateral triangular pipe at 6.96 m/s and a specific gravity of 1.546. If this pipe has 10.91 cm sides, what must be the mass flow of the liquid? [kg/s]arrow_forwardThe force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x, where x is the distance (in meters) that the cylinder is extended in its cycle. The domain of F is [0, /3], and F(0) = 500. (a) Find F as a function of x. (b) Find the average force exerted by the press over the interval [0, /3]arrow_forward
- Units and dimensions are important in any engineering analysis. This problem is about that. In an old heat transfer textbook, you found the following equation for some specific heat transfer problem. Ə²T Q + əx² λ ƏT Ət You know that T is temperature (K) and x is the x-coordinate, which is measured in meters. You also know that t is time (s) and the book uses as the symbol for thermal conductivity, whose unit is W/m.K. What must be the units of Q and B?arrow_forwardIndustries involved in viscosity measurement [27, 29] continue to use the CGS system ofunits, since centimeters and grams yield convenient numbers for many fl uids. The absoluteviscosity ( μ ) unit is the poise, named after J. L. M. Poiseuille, a French physician who in1840 performed pioneering experiments on water fl ow in pipes; 1 poise =1 g/(cm-s). Thekinematic viscosity ( ν ) unit is the stokes, named after G. G. Stokes, a British physicist whoin 1845 helped develop the basic partial differential equations of fl uid momentum; 1 stokes =1 cm 2 /s. Water at 20 ° C has μ ~~ 0.01 poise and also ν ~~ 0.01 stokes. Express these resultsin ( a ) SI and ( b ) BG units.arrow_forwardIn the gap between the two plates, the lubricant flows in one direction (x) by the pressure gradient. Lubricants are incompressible Newtonian fluids, flows are laminates, and terminal effects are ignored. Find the maximum flow rate [m/s] when the pressure difference (△P/L) per unit length is 25000 Pa/m.Data: clearance between plates (B) = 6 mm, lubricant viscosity (μ) = 25 cP (1cP = 10-3 Pa·s), lubricant density (=) = 0.88 g/cm3arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Properties of Fluids: The Basics; Author: Swanson Flo;https://www.youtube.com/watch?v=TgD3nEO1iCA;License: Standard YouTube License, CC-BY
Fluid Mechanics-Lecture-1_Introduction & Basic Concepts; Author: OOkul - UPSC & SSC Exams;https://www.youtube.com/watch?v=6bZodDnmE0o;License: Standard Youtube License