Consider a turbine extracting energy from a penstock in adam, as in Fig. P3.171. For turbulent pipe flow (Chap. 6),the friction head loss is approximately h = CQ°, where theconstant C depends on penstock dimensions and the prop-erties of water. Show that, for a given penstock geometryand variable river flow Q, the maximum turbine power pos-sible in this case is Pmax = 2P8HQ/3 and occurs when theflow rate is Q = VHI(3C).PenstockTurbineP3.171

Draw a diagram for the problem. Write the Bernoulli’s equation assuming steady flow between points…

Answered: Consider a turbine extracting energy…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The pump in Fig. draws gasoline at 20 ° C from areservoir. Pumps are in big trouble if the liquid vaporizes(cavitates) before it enters the pump. ( a ) Neglecting lossesand assuming a fl ow rate of 65 gal/min, fi nd the limitationson ( x , y , z ) for avoiding cavitation. ( b ) If pipe frictionlosses are included, what additional limitations might beimportant?
A fi reboat pump delivers water to a vertical nozzle with a3:1 diameter ratio, as in Fig.If friction is neglectedand the pump increases the pressure at section 1 to 51 kPa(gage), what will be the resulting fl ow rate?( a ) 187 gal/min, ( b ) 199 gal/min, ( c ) 214 gal/min,( d ) 359 gal/min, ( e ) 141 gal/min
I need the answer as soon as possible
3 D, - 6 cm Three pipes steadily deliver water at 20°C to a large exit pipe in Fig. P3.8. The D;-5 cm velocity V2 = 5 m/s, and the exit flow rate Q4 = 120 m3/h. Find (a) V1; (b) V3; and (c) V4 if it is known that increasing Q3 by 20% would increase Q4 by 10%.. D. =9 cm D, -4 cm Ans:
I nree pipes steadiy aenver water at 20°C to a large exit pipe in Fig. P3.8. The velocity V, = 5 m/s, and the exit flow rate Q = 120 m/h. Find (a) V,, (b) V, and (c) V, if it is known that increasing Q, by 20 percent would increase Q4 by 10 percent. D3 = 6 cm D2 = 5 cm D4 = 9 cm D = 4 cm
Water fl owing in a smooth 6-cm-diameter pipe entersa venturi contraction with a throat diameter of 3 cm.Upstream pressure is 120 kPa. If cavitation occurs in thethroat at a fl ow rate of 155 gal/min, what is the estimatedfl uid vapor pressure, assuming ideal frictionless fl ow?( a ) 6 kPa, ( b ) 12 kPa, ( c ) 24 kPa, ( d ) 31 kPa, ( e ) 52 kPa
The pump in Fig. is used to deliver gasoline at 20°Cthrough 350 m of 30-cm-diameter galvanized iron pipe.Estimate the resulting fl ow rate, in m3/s. (Note that thepump head is now in meters of gasoline.)
Water at 20 ° C flows steadily through the piping junction inFig. P3.32, entering section 1 at 20 gal/min. The averagevelocity at section 2 is 2.5 m/s. A portion of the flow isdiverted through the showerhead, which contains 100 holesof 1-mm diameter. Assuming uniform shower flow, estimatethe exit velocity from the showerhead jets.
A bellows may be modeled as a deforming wedge-shapedvolume as in Fig. P3.31. The check valve on the left(pleated) end is closed during the stroke. If b is the bellowswidth into the paper, derive an expression for outlet massfl ow m 0 as a function of stroke θ ( t ).
Water fl owing in a smooth 6-cm-diameter pipe enters aventuri contraction with a throat diameter of 4 cm.Upstream pressure is 120 kPa. If the pressure in the throatis 50 kPa, what is the fl ow rate, assuming ideal frictionlessfl ow?( a ) 7.5 gal/min, ( b ) 236 gal/min, ( c ) 263 gal/min,( d ) 745 gal/min, ( e ) 1053 gal/min
Pump Pam = 100 kPa D= 3 cm The pump in Fig. P3.146 draws gasoline at 20°C from a reservoir. Pumps are in big trouble if the liquid vaporizes (cavitates) before it enters the pump. (a) Neglecting losses and assuming a flow rate of 65 gal/min, find the limita- tions on (x, y, z) for avoiding cavitation. (b) If pipe fric- tion losses are included, what additional limitations might be important? Gasoline, SG = 0.68 P3.146
P6.83 The small turbine in Fig. P6.83 extracts 400 W of power from the water flow. Both pipes are wrought iron. Com- pute the flow rate Q in m'/h. Why are there two solutions? Which is better? 3. woll omulov AT. eno binl ai bns wwob zwoh Water 20 m 20° C bon A nrlw ( 10) Turbine ok be 10 m 30 m D=6 cm D=4 cm P6.83 lor

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