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 89CP
To determine
The existence of similarities between a model and prototype flow for which only geometric similarities exist.
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A 1:7 scale model simulates the operation of alarge turbine that is to generate 200 kW with a flowrate of 1.5 m3/s.What flow rate should be used inthe model, and what power output is expected?(a) Water at the same temperature is used in bothmodel and prototype.(b) The model water is at 25°C and the prototypewater is at 10°C.
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Chapter 7 Solutions
Fluid Mechanics Fundamentals And Applications
Ch. 7 - List the seven primary dimensions. What is...Ch. 7 - What is the difference between a dimension and a...Ch. 7 - Write the primary dimensions of the universal...Ch. 7 - Write the primary dimensions of each of the...Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - On a periodic chart of the elements, molar mass...Ch. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - The moment of force(M)is formed by the cross...
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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- A boundary layer is a thin region (usually along a wall) in which viscous forces are significant and within which the flow is rotational. Consider a boundary layer growing along a thin flat plate. The flow is steady. The boundary layer thickness ? at any downstream distance x is a function of x, free-stream velocity V∞, and fluid properties ? (density) and ? (viscosity). Use the method of repeating variables to generate a dimensionless relationship for ? as a function of the other parameters. Show all your work.arrow_forwardList and describe the three necessary conditions for complete similarity between a model and a prototype.arrow_forwardThe drag of a sonar transducer is to be predicted, based on wind (Air) tunnel test data. The prototype is 1.5 m diameter sphere, is to be towed at 4.3 m/s in seawater. The model is 0.2 m diameter. Take: Air density = 1.2 kg/m, Air dynamic viscosity = 1.81 x 10$ Pa. s, seawater density = 1000 kg/m, seawater dynamic viscosity 1.813x 10 Pa s, If the drag of the model at these test conditions is 9.5 N, estimate the drag of the prototype in (N).arrow_forward
- 3arrow_forward3- Consider laminar flow over a flat plate. The boundary layer thickness & grows with distance x down the plate and is also a function of free-stream velocity U, fluid viscosity u, and fluid density p. Find the dimensionless parameters for this problem, being sure to rearrange if necessary to agree with the standard dimensionless groups in fluid mechanics.arrow_forwardList the three primary purposes of dimensional analysis.arrow_forward
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