FIGURE 4.13Figure for Problems4-3 and 4-4.4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectionalarea, A. For this problem, assume laminar flow in the outflow pipe, with a laminarresistance, R. The faucet provides an input flow rate of qu for 0 ≤ t < to, and zerootherwise.(a) After the faucet is turned off at t = fo. how long (as a function of systemparameters) will it take for 50%, 90%, and 100% of the water in the tankat & to run out?(b) Find h(t) for t≥ 0. Assume h(0) = 0.h(t)R₂

(a) Volume stored is calculated as: V=Net volume flow rate ×TimeA×h(t)=(q0-qout)th(t)=(q0-qout)tA…

FIGURE 4.13 Figure for Problems 4-3 and 4-4. 4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectional area, A. For this problem, assume laminar flow in the outflow pipe, with a laminar resistance, R₂. The faucet provides an input flow rate of q, for 0 ≤t<. and zero otherwise. (a) After the faucet is turned off at t= fo. how long (as a function of system parameters) will it take for 50%, 90%, and 100% of the water in the tank at & to run out? (b) Find h(t) for t≥ 0. Assume (0) = 0. (1) R₂

FIGURE 4.13 Figure for Problems 4-3 and 4-4. 4-3 Shown in Fig. 4.13 is a vertical-walled storage tank with a cross-sectional area, A. For this problem, assume laminar flow in the outflow pipe, with a laminar resistance, R₂. The faucet provides an input flow rate of q, for 0 ≤t<. and zero otherwise. (a) After the faucet is turned off at t= fo. how long (as a function of system parameters) will it take for 50%, 90%, and 100% of the water in the tank at & to run out? (b) Find h(t) for t≥ 0. Assume (0) = 0. (1) R₂

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

See similar textbooks

Similar questions

In the hydroelectric power plant whose cross-section is given, the flow rate of Q=33.045 m^3/sec is transmitted to the power plant through a D=1.6 meter diameter penstock. Ignoring friction losses; a) Find the internal pipe pressure at point 2 ( at the below ). b) Find the resultant force (F) and its direction (O) that the water exerts on the fixation mass. c) Calculate the electrical power generated in the plant. (Pwater= 1 ton/m^3, Ywater= 9.81 kN/m^3, g=9.81m/s^2, Beta= 45 degree
1:The water pump in Figure below maintains a pressure of 45 kPa at point 1. There is a filter (kr), a half-open disk valve (kvalve 0.28), and two regular screwed elbows (kellbow -0.64), submerged exit (kexit 1). There are 24 m of 0.10 m diameter commercial steel pipe. If the flow rate is 0.011 m/s, what is the loss coefficient of the filter (kr)? Take that the density and dynamic viscosity of water are p-998 kg/m³ and -1.0 x10³ kg/m.s. The roughness ratio of pipe is e/D=0.0006. (2) Pump Valve A Filter Elbows 2.75 m V
1.28. The performance curve for the fan of Problem 1.27 can be approx- imated by a straight line through its BEP (using techniques devel- oped in Chapter 7). The curve is Aps = 4488 – 166Q, with ApT in Pa and Q in m³/s. If this fan is connected to a 1-m dia- meter duct (f = 0.045) whose length is 66 m, what flow rate will result? %3D
An industrial oil (s.g. = =0.85) is flowing at 160 gallons per minute (gpm) in a system with the following details: SUCTION: Standard elbow and the pipe is 7 foot-long. DISCHARGE: Street type elbow and the pipe length is 42 feet. Neglecting losses due to the filter and the hydraulic press, compute: (a) The total energy loss due to friction (suction and discharge pipes) (b) The total energy loss due to minor losses (suction and discharge) 3" Schedule 40 Pump 4" Schedule steel pipe 40 steel pipe Hydraulic Filter press Flow 4.0 ft 早 L0 ft 2.0 ft Reservoir
Consider a desired pump operating condition which adds 35 psi at a flow rate of 500 gpa to water. Ignore any changes in Kinetic or potential energy and assume isothermal flow (ie. Internal energy is constant, this is normal assumption we make when analyzing fluid flows in piping systems). Apply the energy balance only across the pump starting with full energy balance and simplifying to solve for the pump head symbolically. Then begin careful of unit, solve for pump head in feet. Given erosion 500 gpm P=62 lbs/ft^3 A- 10.5 ft B- 100.8 ft C- 50.1 ft D-80.7 ft
For the siphon shown in figure (2), calculate (a) The mass flow rate of water from the tank and (b) The pressure at point C, Use the last two digits of your ID for the height L_ in cm 75 Ignore losses 1.2 m B D A Pipe 40-mm inside diameter 1.8 m Flow 25-mm diameter F L cm
Len is asked to design a small water pump for an aquarium. The pump should deliver 18.0 Lpm of water at a net head of 1.6 m at its best efficiency point. A motor that spins at 1200 rpm is available Suppose the pump is modified by attaching a different motor, for which the rpm is 1800 rpm. If the pumps operate at homologous points (namely, at the BEP) for both cases, predict the volume flow rate and net head of the modified pump. Calculate the pump specific speed of the modified pump, and compare to that of the original pump. Discuss.
02 h, are 12m. The pump efficiency is 79%, and the pump is driven by an electric motor. A pump moves water @10°C from a lake into a large, pressurized holding tank as shown. The flow rate, Q. is 375 L/min, and the piping system losses, 1) Sketch the setup (simple schematic is good), 2) label the z datum, and 3) identify and label the boundary conditions (P, V, and z) at 1 and 2 for use in a) the General Energy Equation (GEE). Provide values and units for the boundary conditions. Hint: For identifying good locations for boundary conditions, where are the velocities approximately zero? b) Calculate the head added to the fluid, h,, by the pump. Give your answer in units of m. Hint: Be careful with signs in manipulating the GEE. Show as many steps as you need to get your h, equation correct. Calculate the power added to the fluid by the pump in units of kW. () Determine the required electric motor size to drive the pump in units of HP. Prank = 200 kPa Holding Tank Air 6 m Pump Lake
Q4: Using Fourth - Order Runge- Kutta method, Find the time required for (40%) drop of water height for the circular section tank shown in below figure. Start with (1min) time increment. (Coefficient of discharge 0.8) 1 m 1 m 0.5 m 0.025m
I solved most of this but need some guidence towards the end after you have m flow rate and both h_2 and h_1.
2. A turbine is used to produce 2700 hp by expanding the water between points 1 and 2. Water flow rate, static pressures and pipe diameters are given. Calculate the power lost in between point one and two. Note that the static pressure at point 2 is given in vacuum. (SGH =13.6) P1 = 60 psi Q = 150 ft³/s D = 3 ft Section (1) Turbine 10 ft P2 10-in. Hg %3D vacuum D2 = 4 ft Section (2)
A pump delivers water from a tank (A)X water surface elevation-110m) to tank B (water surface elevation= 170m). The suction pipe is 45m long and 35cm in diameter the delivered pipe is 950m long 25cm in diameter. Loss head due to friction hf1 = 5m and h2 3m If the piping are from pipe(1)= steel sheet metal pipe(2)= stainless – steel Calculate the following i) ii) The discharge in the pipeline The power delivered by the pump.