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Fluid Mechanics 8 Chapter 10
forwarded, distributed, or posted on a website, in whole or part. Problem 10.7 Pebbles dropped successively at the same point, into a water-channel flow of depth 65 cm, create two circular ripples, as in Fig. P10.7. From this information, estimate (a) the Froude number; and (b) the stream velocity.
Fluid Mechanics 8 Chapter 9
forwarded, distributed, or posted on a website, in whole or part. Problem 9.116 An observer at sea level does not hear an aircraft flying at 12000 ft standard altitude until it is 5 (statute) miles past her. Estimate the aircraft speed in ft/sec.
Fluid Mechanics 8 Chapter 9
forwarded, distributed, or posted on a website, in whole or part. Problem 9.156 Consider a flat-plate airfoil at an angle of attack of 6°. The Mach number is Ma∞ = 3.2 and the stream pressure p∞ is unspecified. Calculate the predict lift and drag coefficients, by (a) shock- expansion theory; and (b) Ackeret theory.
Fluid Mechanics 8 Chapter 11
forwarded, distributed, or posted on a website, in whole or part. Solution 11.28 The efficiencies are computed from = gQH/(550 bhp) and are as follows: Q: 0 2 4 6 8 10 : 0 0.482 0.753 0.881 0.825 0.756 Thus the BEP is, even without a plot, close to Q 6 ft3/s. Ans. The specific speed is 1/2 1/2 s3/4 3/4 nQ* 2134[(6)(449)] NH* (330) Ans. = 1430 For estimating Qmax, the last three points fit a Power-law to within 0.5%: 4.85 max H 340 0.00168Q 0 if Q Q Ans. − = = 3
Fluid Mechanics 8 Chapter 11
forwarded, distributed, or posted on a website, in whole or part. Problem 11.101 A Darrieus VAWT in operation in Lumsden, Saskatchewan, that is 32 ft high and 20 ft in diameter sweeps out an area of 432 ft2. Estimate (a) the maximum power and (b) the rotor speed if it is operating in 16 mi/h winds.
Fluid Mechanics 8 Chapter 11
forwarded, distributed, or posted on a website, in whole or part. Problem 11.57 Performance data for a 21-in-diameter air blower running at 3550 rpm are as follows: p, in H2O: 29 30 28 21 10 Q, ft3/min: 500 1000 2000 3000 4000 bhp: 6 8 12 18 25 Note the fictitious expression of pressure rise in terms of water rather than air. What is the specific speed? How does the performance compare with Fig. 11.8? What are Q H P *** C , C , C ?
Fluid Mechanics 8 Chapter 11
forwarded, distributed, or posted on a website, in whole or part. Problem 11.38 A 6.85-in pump, running at 3500 r/min, has the following measured performance for water at 20C. Q, gal/min: 50 100 150 200 250 300 350 400 450 H, ft: 201 200 198 194 189 181 169 156 139 , %: 29 50 64 72 77 80 81 79 74 (a) Estimate the horsepower at BEP. If this pump is rescaled in water to provide 20 bhp at 3000 r/min, determine the appropriate (b) impeller diameter; (c) flow rate; and (d) efficiency for this new condition.
Fluid Mechanics 8 Chapter 1
forwarded, distributed, or posted on a website, in whole or part. Solution 1.77 We have to differentiate Eq. (1.19) to find dp/dρ, using the given data po = 100 kPa, ρo = 586.3 kg/m3, B = 260, and n = 11: 12 ( 1) [ ( 1)( / ) ], : ( ) nn o oo oo p B n dp dp d p B B or a d − + = + − = = To finish, we have to find ρ for p = 30 MPa = 30,000 kPa: 11 3 2 10 30,000
Fluid Mechanics 8 Chapter 1
forwarded, distributed, or posted on a website, in whole or part. Solution 1.60 Since the problem calls for pascals, convert everything to SI units: Find the shear stress in the oil, multiply that by the cylinder wall area to get the required force, and divide the force by the area of the cylinder face to find the required pressure difference. Comment: The Reynolds number of the clearance flow, Re = VC/ , is approximately 0.8. 15 16 15 16 3 (5 )(0.0254 ) 0.1508 ; (26 )(0.0254 ) 0.6604 Clearance ( ) / 2 (6 5 )(0.0254 ) /