Fluid Mechanics Fundamentals And Applications
Fluid Mechanics Fundamentals And Applications
3rd Edition
ISBN: 9780073380322
Author: Yunus Cengel, John Cimbala
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 7, Problem 86EP

A small wind tunnel in a university's undergraduate fluid flow laboratory has a test section that is 20 by 20 in in cross section and is 4.0 ft long. Its maximum speed is 145 ft s. Some students wish to build a model 18-wheeler to study how aerodynamic drag is affected by rounding off the back of the trailer. A full-size (prototype) tractor-trailer fig is 52 ft long. 8.33 ft wide, and 12 ft high. Both the air in the wind tunnel and the air flowing over the prototype are at 80 ° F and atmospheric pressure (a) What is the largest scale model they can build to slay within the rule-of-thumb guidelines for blockage? What are the dimensions of the model truck in inches? (b) What is the maximum model truck Reynolds number achievable by the students? (c) Are the students able to achieve Reynolds number independence? Discuss.

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(b) A wind-tunnel experiment is performed on a small 1:5 linear-scale model of a car, in order to assess the drag force F on a new full-size car design. A dimensionless "drag coefficient" Ca is defined by C, =- pu'A where A is the maximum cross-sectional area of the car in the flow. With the model car, a force of 3 N was recorded at a flow velocity u of 6 m s. Assuming that flow conditions are comparable (i.e., at the same Reynolds number), calculate the expected drag force for the full-sized car when the flow velocity past it is 31 m s (equivalent to 70 miles per hour). [The density of air p= 1.2 kg m.]
The power P generated by a certain windmill design depends upon its diameter D, the air density p, the wind velocity V, the rotation rate 0, and the number of blades n. (a) Write this relationship in dimensionless form. A model windmill, of diameter 50 cm, develops 2.7 kW at sea level when V= 40 m/s and when rotating at 4800 r/min. (b) What power will be developed by a geometrically and dynamically similar prototype, of diameter 5 m, in winds of 12 m/s at 2000 m standard altitude? (c) What is the appropriate rotation rate of the prototype?
Find the velocity (m/s) at which test should be run in a wind tunnel on a model wing of 11 cm chord in order that RN. shall be the same as for a wing with a 1.16 m chord at 41.4 m/s. Air under standard conditions in both cases. Round-off answer to the nearest hundredths.

Chapter 7 Solutions

Fluid Mechanics Fundamentals And Applications

Ch. 7 - Prob. 11PCh. 7 - You are probably familiar with Ohm law for...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Thermal conductivity k is a measure of the ability...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 18PCh. 7 - Prob. 19EPCh. 7 - Explain the law of dimensional homogeneity in...Ch. 7 - In Chap. 4, we defined the material acceleration,...Ch. 7 - Newton's second law is the foundation for the...Ch. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - An important application of fluid mechanics is the...Ch. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - What is the primary reason for nondimensionalizing...Ch. 7 - Prob. 29PCh. 7 - In an oscillating compressible flow field the...Ch. 7 - In Chap. 9, we define the stream function for...Ch. 7 - In an oscillating incompressible flow field the...Ch. 7 - Prob. 33PCh. 7 - Consider ventilation of a well-mixed room as in...Ch. 7 - List the three primary purposes of dimensional...Ch. 7 - List and describe the three necessary conditions...Ch. 7 - A student team is to design a human-powered...Ch. 7 - Repeat Prob. 7-34 with all the same conditions...Ch. 7 - This is a follow-tip to Prob. 7-34. The students...Ch. 7 - A lightweight parachute is being designed for...Ch. 7 - Prob. 41PCh. 7 - The aerodynamic drag of a new sports car is lo be...Ch. 7 - This is a follow-tip to Prob. 7-37E. The...Ch. 7 - Consider the common situation in which a...Ch. 7 - Some students want to visualize flow over a...Ch. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - A stirrer is used to mix chemicals in a large tank...Ch. 7 - Prob. 52PCh. 7 - Albert Einstein is pondering how to write his...Ch. 7 - The Richardson number is defined as Ri=L5gV2...Ch. 7 - Consider filly developed Couette flow-flow between...Ch. 7 - Consider developing Couette flow-the same flow as...Ch. 7 - The speed of sound c in an ideal gas is known to...Ch. 7 - Repeat Prob. 7-54, except let the speed of sound c...Ch. 7 - Repeat Prob. 7-54, except let the speed of sound c...Ch. 7 - Prob. 60PCh. 7 - When small aerosol particles or microorganisms...Ch. 7 - Prob. 62PCh. 7 - Prob. 63PCh. 7 - Prob. 64PCh. 7 - An incompressible fluid of density and viscosity ...Ch. 7 - Prob. 66PCh. 7 - One of the first things you learn in physics class...Ch. 7 - Prob. 68PCh. 7 - Bill is working on an electrical circuit problem....Ch. 7 - A boundary layer is a thin region (usually along a...Ch. 7 - A liquid of density and viscosity is pumped at...Ch. 7 - A propeller of diameter D rotates at angular...Ch. 7 - Repeat Prob. 7-68 for the case an which the...Ch. 7 - In the study of turbulent flow, turbulent viscous...Ch. 7 - Prob. 75PCh. 7 - Consider a liquid in a cylindrical container in...Ch. 7 - Prob. 77PCh. 7 - Prob. 78CPCh. 7 - Prob. 79CPCh. 7 - Prob. 80CPCh. 7 - Define wind tunnel blockage. What is the rule of...Ch. 7 - Prob. 82CPCh. 7 - In the model truck example discussed in Section...Ch. 7 - A small wind tunnel in a university's...Ch. 7 - Prob. 87PCh. 7 - There are many established nondimensional...Ch. 7 - Prob. 89CPCh. 7 - For each statement, choose whether the statement...Ch. 7 - Prob. 91PCh. 7 - Prob. 92PCh. 7 - Prob. 93PCh. 7 - The Archimedes number listed in Table 7-5 is...Ch. 7 - Prob. 95PCh. 7 - Prob. 96PCh. 7 - Prob. 98PCh. 7 - Prob. 99PCh. 7 - Repeal Prob. 7-100 except for a different...Ch. 7 - Prob. 101PCh. 7 - Prob. 102PCh. 7 - Au aerosol particle of characteristic size DPmoves...Ch. 7 - Prob. 104PCh. 7 - Prob. 105PCh. 7 - Prob. 106PCh. 7 - Prob. 107PCh. 7 - Prob. 108PCh. 7 - Prob. 109PCh. 7 - Prob. 110PCh. 7 - An electrostatic precipitator (ESP) is a device...Ch. 7 - Prob. 113PCh. 7 - Repeat pall (a) of Prob. 7-110, except instead of...Ch. 7 - Sound intensity I is defined as the acoustic power...Ch. 7 - Repeal Prob. 7-112, but with the distance r from...Ch. 7 - Engineers at MIT have developed a mechanical model...Ch. 7 - Prob. 118PCh. 7 - Prob. 119PCh. 7 - Prob. 120PCh. 7 - Prob. 121PCh. 7 - The primary dimensions of kinematic viscosity are...Ch. 7 - Prob. 123PCh. 7 - Prob. 124PCh. 7 - Prob. 125PCh. 7 - There at four additive terms in an equation, and...Ch. 7 - Prob. 127PCh. 7 - Prob. 128PCh. 7 - Prob. 129PCh. 7 - Which similarity condition is related to...Ch. 7 - A one-third scale model of a car is to be tested...Ch. 7 - A one-fourth scale model of a car is to be tested...Ch. 7 - A one-third scale model of an airplane is to be...Ch. 7 - Prob. 134PCh. 7 - Prob. 135PCh. 7 - Prob. 136PCh. 7 - Consider a boundary layer growing along a thin...Ch. 7 - Prob. 138P
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