P3.122 The cylindrical water tank in Fig. P3.122 is beingfilled at a volume flow Q₁ = 1.0 gal/min, while thewater also drains from a bottom hole of diameter d=-CV6 mm. At time t = 0, h = 0. Find (a) an expression forh(t) and (b) the eventual maximum water depth hmax.Assume that Bernoulli's steady-flow equation is valid.Q1IhFig. P3.122V₂diameterD = 20 cm

We have a cylindrical water tank being filled at a constant rate while water also drains out through…

Answered: P3.122 The cylindrical water tank in…

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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P3.160 The three-arm lawn sprinkler of Fig. P3.160 receives 20°C water through the center at 2.7 m³/h. If collar friction is negligible, what is the steady rotation rate in r/min for (a) 0 = 0° and (b) 0 = 40°? Negle > LEGO 8ALE9 d = 7 mm woft linu gni |R = 15 cm P3.160
The 35 °C water fl ow of Fig. P3.135 discharges to sea-levelstandard atmosphere. Neglecting losses, for what nozzlediameter D will cavitation begin to occur? To avoidcavitation, should you increase or decrease D from thiscritical value?
P3.21 For the two-port tank in Fig. E3.5, let the dimensions remain the same, but assume V₂ = 3 ft/s and that V₁ is unknown. If the water surface is rising at a rate of 1 in/s, (a) determine the average velocity at section 1. (b) Is the flow at section 1 in or out?
P3.168 Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 ft. Using the steady flow energy equa- tion, estimate the water temperature change in °F caused by this drop.
P3.153 The 3-arm lawn sprinkler of Fig. P3.153 receives 20°C water through the center at 2.7 m³/hr. If collar friction is neglected, what is the steady rotation rate in rev/min for (a) 0 = 0°; (b) 0 = 40°? d = 7mm ! R= 15cm
A pipe inclined at 45° to the horizontal (Fig. 2) converges over a length l of 2 m from a diameterd1 of 200 mm to a diameter d2 of 100 mm at the upper end. Oil of relative density 0.9 flowsthrough the pipe at a mean velocity ?̅1 at the lower end of 2 m/s. Find the pressure differenceacross the 2 m length ignoring any loss of energy, and the difference in level that would beshown on a mercury manometer connected across this length. The relative density of mercury is 13.6 and the leads to the manometer arefilled with the oil.
Q.2A) A tall water tank discharges through a well-rounded orifice, as in Fig. below. If, at this instant, the force F required to hold the plate is 40 N, what is the depth h? Density of water is (998 kg/m³) d=4 cm All
A river of width b and depth h 1 passes over a submergedobstacle, or “drowned weir,” in Fig. P3.80, emerging at anew fl ow condition ( V 2 , h 2 ). Neglect atmospheric pressure,and assume that the water pressure is hydrostatic at bothsections 1 and 2. Derive an expression for the force exertedby the river on the obstacle in terms of V 1 , h 1 , h 2 , b , ρ , andg . Neglect water friction on the river bottom.
Pump Patm = 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
In Fig. P3.130 the fl uid is gasoline at 20 ° C at a weight fl owof 120 N/s. Assuming no losses, estimate the gage pressureat section 1.
Consider a viscous fi lm of liquid draining uniformly downthe side of a vertical rod of radius a , as in Fig. P4.84. Atsome distance down the rod the fi lm will approach a terminalor fully developed draining fl ow of constant outer radiusb , with υ z = υ z ( r ), υ θ = υ r = 0. Assume that the atmosphereoffers no shear resistance to the fi lm motion. Derivea differential equation for υ z , state the proper boundaryconditions, and solve for the fi lm velocity distribution.How does the fi lm radius b relate to the total fi lm volumefl ow rate Q ?
Water flows through a two-dimensional narrowing wedgeat 9.96 gal/min per meter of width into the paper(Fig. P4.72). If this inward flow is purely radial, find anexpression, in SI units, for ( a ) the stream function and( b ) the velocity potential of the flow. Assume onedimensionalflow. The included angle of the wedge is 45 ° .

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